Square Packing
Daniil Ostashev · October 2026
Values are as of October 12, 2026, 9:12 PM PDT; this area moves fast, and this page will be updated as we discover new records.
Thanks to everyone whose public work made this possible.
How small a square can hold n unit squares? The squares may be rotated, and the answer, written
s(n) , is known exactly only for a handful of n . For everything else the record is just the
best packing anyone has found. These records are catalogued on David Ellsworth's page [1]
and in the jlevy/squares register [2] , and Erich Friedman's survey [7]
covers the history. This October they have been improving almost hourly, through work by Ryan Xu
[3] , Francisco Couzo [4] , Evan Daniel [5] , SQUISH
[6] and others.
Over a weekend I set up an AI-assisted research loop around this problem, driving it with some ideas that I
had. So far, it produced twelve new records. The packings, their exact certificates and the verification code
are in https://github.com/dostashev/square-packing .
n previous best ours improvement 129 11.872029849 11.870013850 2.02e−3 155 12.952498944 12.952425407 7.35e−5 156 12.982082699 12.979172614 2.91e−3 175 13.767119024 13.764174317 2.94e−3 176 13.807637227 13.795872318 1.18e−2 204 14.822875656 14.808663234 1.42e−2 211 14.997960705 14.993694187 4.27e−3 232 15.767428350 15.764174317 3.25e−3 241 15.988132440 15.987134249 9.98e−4 264 16.778174593 16.774735132 3.44e−3 303 17.913065463 17.909958291 3.11e−3 304 17.929565947 17.929427758 1.38e−4
Since then, Francisco Couzo has taken 156 down to 12.979165854, starting from our packing [4] .
All records side by side →
n = 156
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: tilted, θ = 1.8575° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: tilted, θ = 28.2582° square 99: aligned, elsewhere, θ = 0.0000° square 100: tilted, θ = 28.2582° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: tilted, θ = 29.1284° square 106: tilted, θ = 29.1284° square 107: tilted, θ = 24.0137° square 108: tilted, θ = 24.0137° square 109: tilted, θ = 26.7590° square 110: tilted, θ = 26.7590° square 111: tilted, θ = 27.7878° square 112: tilted, θ = 24.0137° square 113: tilted, θ = 26.7590° square 114: tilted, θ = 26.7590° square 115: tilted, θ = 28.2582° square 116: tilted, θ = 28.2582° square 117: tilted, θ = 28.2582° square 118: tilted, θ = 28.2582° square 119: tilted, θ = 28.2582° square 120: tilted, θ = 28.2582° square 121: tilted, θ = 28.2582° square 122: tilted, θ = 28.2582° square 123: tilted, θ = 28.2582° square 124: tilted, θ = 66.8041° square 125: tilted, θ = 66.8041° square 126: tilted, θ = 66.4941° square 127: tilted, θ = 66.9420° square 128: tilted, θ = 66.9420° square 129: tilted, θ = 66.4941° square 130: tilted, θ = 66.7943° square 131: tilted, θ = 66.9420° square 132: tilted, θ = 66.9420° square 133: tilted, θ = 67.1026° square 134: tilted, θ = 67.1026° square 135: tilted, θ = 67.1026° square 136: tilted, θ = 67.1026° square 137: tilted, θ = 67.1026° square 138: tilted, θ = 67.8315° square 139: tilted, θ = 67.8315° square 140: tilted, θ = 67.8315° square 141: tilted, θ = 67.8315° square 142: tilted, θ = 67.0414° square 143: tilted, θ = 66.8420° square 144: tilted, θ = 66.8420° square 145: tilted, θ = 67.0414° square 146: tilted, θ = 67.0414° square 147: tilted, θ = 67.0414° square 148: tilted, θ = 67.0414° square 149: tilted, θ = 65.7014° square 150: tilted, θ = 65.7014° square 151: tilted, θ = 65.7014° square 152: tilted, θ = 67.8315° square 153: tilted, θ = 66.8420° square 154: tilted, θ = 57.7691° square 155: tilted, θ = 65.7014° previous bests = 12.982082699 101 corner-structure · 1 other aligned · 54 tilted square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, elsewhere, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: tilted, θ = 26.4338° square 88: tilted, θ = 26.3901° square 89: tilted, θ = 26.3901° square 90: tilted, θ = 26.2446° square 91: aligned, elsewhere, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: tilted, θ = 72.4303° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: tilted, θ = 72.4303° square 98: tilted, θ = 72.4303° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: tilted, θ = 72.4303° square 101: tilted, θ = 72.4303° square 102: tilted, θ = 72.4303° square 103: tilted, θ = 72.8367° square 104: tilted, θ = 72.8367° square 105: tilted, θ = 72.8367° square 106: tilted, θ = 72.8367° square 107: tilted, θ = 72.4022° square 108: tilted, θ = 72.4022° square 109: tilted, θ = 72.4022° square 110: tilted, θ = 72.4022° square 111: tilted, θ = 72.4465° square 112: tilted, θ = 72.4465° square 113: tilted, θ = 72.4465° square 114: tilted, θ = 71.4256° square 115: tilted, θ = 71.4256° square 116: tilted, θ = 71.4256° square 117: tilted, θ = 71.4256° square 118: tilted, θ = 71.4256° square 119: tilted, θ = 26.4338° square 120: tilted, θ = 26.4338° square 121: tilted, θ = 26.4338° square 122: tilted, θ = 26.4338° square 123: tilted, θ = 26.3901° square 124: tilted, θ = 26.3901° square 125: tilted, θ = 26.2446° square 126: tilted, θ = 26.2446° square 127: tilted, θ = 26.2446° square 128: tilted, θ = 25.6637° square 129: tilted, θ = 25.6637° square 130: tilted, θ = 25.6637° square 131: tilted, θ = 25.6637° square 132: tilted, θ = 25.6637° square 133: tilted, θ = 72.4303° square 134: tilted, θ = 72.4303° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: tilted, θ = 72.4303° square 137: tilted, θ = 72.4303° square 138: tilted, θ = 72.4303° square 139: tilted, θ = 72.5120° square 140: tilted, θ = 72.4303° square 141: tilted, θ = 72.4303° square 142: tilted, θ = 72.8367° square 143: tilted, θ = 72.8367° square 144: tilted, θ = 72.4465° square 145: tilted, θ = 72.4022° square 146: tilted, θ = 72.4465° square 147: tilted, θ = 72.4465° square 148: tilted, θ = 83.0437° square 149: tilted, θ = 71.4256° square 150: tilted, θ = 71.4256° square 151: tilted, θ = 71.4256° square 152: tilted, θ = 70.1367° square 153: tilted, θ = 69.4709° square 154: tilted, θ = 69.4709° square 155: tilted, θ = 63.9860° ourss = 12.979172614 92 corner-structure · 2 other aligned · 62 tilted
Both packings in each pair are shown in a canonical orientation: rotated or mirrored so the largest corner structure sits top-right.
What a record packing looks like
Almost every good packing has the same anatomy. Axis-aligned squares are stacked into staircase-shaped blocks
in the corners. In the language of combinatorics these blocks are Young diagrams . Between them runs a
band of tilted squares, which uses the leftover space better than another row of aligned squares
would. The art is in choosing the corner blocks, the band's path and angle, and how many squares go where.
What didn't work: searching harder
The first tools were classic ones:
a simulated-annealing packer;
a GPU port running millions of chains;
a GPU version of Yohei Nakajima's soft-to-rigid idea [8] , where squares start as disks,
get squeezed together and then gradually "harden" into squares.
These reproduce many known records from scratch. Above roughly n = 130, though, they all stalled in
the same way. The long tilted bands that the records rely on never form when grown from randomness, and
throwing more GPU time at the problem made no difference. The limiting factor was structure, not search
effort.
What worked: build the band, then let the solver settle it
Construct the structure explicitly. Choose a band shape: for these records, a V-shaped band, with
one arm running along the bottom towards the right wall and a second climbing the left side. Lay it out as a rigid lattice of tilted squares at a
chosen angle. Then fill the rest of the box with aligned corner blocks, letting an integer program pick the
Young diagrams that fit best around the band. No existing record is used.Soften and re-harden on the GPU. Make the squares slightly soft, hold the box at its
side length while they re-harden, then release everything and compress it together. This turns the rough
construction into a tight, valid packing.Polish exactly. With all angles fixed, minimising the side length is a linear program
(the "cell" idea from the jlevy register [2] ). Iterating it converges to the exact local optimum. A second round that
softens only the band's edges took a little more off.Tidy and certify. Every square that can slide into its corner does so, at the same side
length. Then the packing is checked with exact rational arithmetic: each angle is replaced by a rational
half-angle tangent, so every square is an exactly unit square, and non-overlap is proven with no rounding.
This follows Ryan Xu's certificates [3] .
n = 155
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: tilted, θ = 27.2920° square 27: tilted, θ = 27.2073° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, elsewhere, θ = 89.9600° square 95: aligned, elsewhere, θ = 0.0000° square 96: aligned, elsewhere, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: tilted, θ = 27.2920° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: tilted, θ = 58.7173° square 101: tilted, θ = 58.7173° square 102: tilted, θ = 61.0829° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: tilted, θ = 26.1574° square 106: tilted, θ = 26.1574° square 107: tilted, θ = 25.8457° square 108: tilted, θ = 25.8457° square 109: tilted, θ = 25.8457° square 110: tilted, θ = 26.4911° square 111: tilted, θ = 26.4911° square 112: tilted, θ = 26.4911° square 113: tilted, θ = 26.4911° square 114: tilted, θ = 27.2920° square 115: tilted, θ = 27.2920° square 116: tilted, θ = 27.2920° square 117: tilted, θ = 27.2920° square 118: tilted, θ = 29.3463° square 119: tilted, θ = 29.3463° square 120: tilted, θ = 63.5132° square 121: tilted, θ = 56.0051° square 122: tilted, θ = 65.0462° square 123: tilted, θ = 65.3829° square 124: tilted, θ = 65.0462° square 125: tilted, θ = 66.6422° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: tilted, θ = 66.6422° square 128: tilted, θ = 66.6422° square 129: tilted, θ = 66.6422° square 130: tilted, θ = 66.1381° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: tilted, θ = 66.1986° square 133: tilted, θ = 66.1381° square 134: tilted, θ = 66.1381° square 135: tilted, θ = 66.1381° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: tilted, θ = 66.1381° square 139: tilted, θ = 66.1381° square 140: tilted, θ = 66.1381° square 141: tilted, θ = 66.1405° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: tilted, θ = 66.1405° square 144: tilted, θ = 66.1405° square 145: tilted, θ = 65.8151° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: tilted, θ = 66.1405° square 148: tilted, θ = 65.8151° square 149: tilted, θ = 65.8151° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: tilted, θ = 58.7173° square 152: tilted, θ = 88.8414° square 153: tilted, θ = 58.7173° square 154: tilted, θ = 58.7173° previous bests = 12.952498944 103 corner-structure · 3 other aligned · 49 tilted square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, elsewhere, θ = 0.3325° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, elsewhere, θ = 0.0000° square 102: tilted, θ = 64.9882° square 103: tilted, θ = 57.2677° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: tilted, θ = 57.2677° square 108: tilted, θ = 31.6878° square 109: tilted, θ = 31.6878° square 110: tilted, θ = 31.6878° square 111: tilted, θ = 30.9304° square 112: tilted, θ = 30.9304° square 113: aligned, elsewhere, θ = 0.0000° square 114: tilted, θ = 30.1119° square 115: tilted, θ = 30.1119° square 116: tilted, θ = 30.1119° square 117: tilted, θ = 30.1119° square 118: tilted, θ = 30.1119° square 119: tilted, θ = 30.1119° square 120: tilted, θ = 30.0075° square 121: tilted, θ = 25.4532° square 122: tilted, θ = 25.4532° square 123: tilted, θ = 25.4532° square 124: tilted, θ = 26.7289° square 125: tilted, θ = 26.7289° square 126: tilted, θ = 57.2677° square 127: tilted, θ = 57.2677° square 128: tilted, θ = 57.2677° square 129: tilted, θ = 57.2677° square 130: tilted, θ = 62.7414° square 131: tilted, θ = 59.6531° square 132: tilted, θ = 59.6531° square 133: tilted, θ = 61.9535° square 134: tilted, θ = 62.7414° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: tilted, θ = 58.1931° square 137: tilted, θ = 61.9535° square 138: tilted, θ = 61.9535° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, elsewhere, θ = 0.0000° square 141: tilted, θ = 61.9535° square 142: tilted, θ = 61.9535° square 143: tilted, θ = 61.9535° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: tilted, θ = 61.9593° square 146: tilted, θ = 61.9535° square 147: tilted, θ = 61.9535° square 148: tilted, θ = 62.0188° square 149: tilted, θ = 61.9593° square 150: tilted, θ = 61.9593° square 151: tilted, θ = 61.9593° square 152: tilted, θ = 61.9593° square 153: tilted, θ = 61.9593° square 154: tilted, θ = 57.2677° ourss = 12.952425407 106 corner-structure · 4 other aligned · 45 tilted
The band records were built from scratch, not refined from the earlier packings. At n = 156 the
arrangement is clearly different: the tilted band is a single connected V carrying more squares than before,
and the corner blocks are smaller. The same construction gave our first 211 (14.99634). A V grown later
from Joost de Winter's packing went lower still; see the end of the next section.
Composing records from rectangles
Many record packings are compositions rather than single designs. To describe them, it helps to
generalise from squares to rectangles whose sides differ by a whole number. Let
r (n , k ) be the smallest h such that n unit squares fit in an
(h + k ) × h rectangle, for k = 0, 1, 2, …. For a fixed k this is
also the rectangle of smallest area, and r (n , 0) = s (n ) is the square problem
itself.
The whole-number difference is what makes the pieces composable. Put an (h + k ) × h
piece in a corner of a square of side m + h , with m a whole number, and the rest of the
box splits into strips of whole-number width that rows of aligned squares fill with little waste. David
Ellsworth's packing for 171 [1] is the classic example. Two copies of a 36-square piece of
Thomas Schadt's packing for 50, with r (36, 2) ≤ 39/7, sit in opposite corners, and 99 aligned squares
fill the rest. So s (171) ≤ 8 + r (36, 2) = 8 + 39/7.
So we built a table of the best packing we could find for every r (n , k ) with
n ≤ 450 and k ≤ 20. Its entries were cut out of every known square packing, then re-optimised
as rectangles. A composer then assembles square packings from these pieces plus aligned blocks, counting the
aligned squares exactly with a small integer program. From pieces of published packings alone, it rebuilds 38
published records, 171 among them.
The table turns one hard question into many smaller ones. Instead of improving a 171-square packing, you can try
to improve r (36, 2). We ran the GPU soft-to-rigid solver inside rectangular boxes. For 36 squares it
always came back to Schadt's 39/7, which now looks hard to beat.
Elsewhere it found better pieces. Random starts work up to about 40 squares; above that they settle above the
table's entries. Record packings suggest
a better start: aligned squares stepping down from the corners in staircases, with a lattice of tilted squares
in between. From such starts the GPU improved 124 entries with 41 to 92 squares. One more piece needed no
search at all. Cut out of Nate Chaoweeraprasit's packing for 302 (in Evan Daniel's exact form) and re-optimised
on its own, without the rest of the packing around it, its tilted band settled at a slightly different angle
(39.1° instead of 39.4°). Here are the four new pieces, each with the best cut-out the table had before:
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: tilted, θ = 29.4146° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: tilted, θ = 29.4146° square 6: tilted, θ = 28.8177° square 7: tilted, θ = 29.4146° square 8: tilted, θ = 29.4146° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: tilted, θ = 29.4146° square 11: tilted, θ = 29.4146° square 12: tilted, θ = 3.5545° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: tilted, θ = 29.4146° square 15: tilted, θ = 29.4146° square 16: tilted, θ = 29.4146° square 17: tilted, θ = 29.4146° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: tilted, θ = 29.4146° square 20: tilted, θ = 29.4146° square 21: tilted, θ = 29.4146° square 22: tilted, θ = 29.4146° square 23: tilted, θ = 29.4146° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 29.4146° square 26: tilted, θ = 29.7363° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 29.8490° square 31: tilted, θ = 27.9276° square 32: tilted, θ = 29.4146° square 33: tilted, θ = 28.8088° square 34: tilted, θ = 29.4146° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: tilted, θ = 30.0225° square 37: aligned, part of a corner structure, θ = 0.0000° r (38, 2) ≤ 5.7642 before: 5.8203 · GPU search, random start square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: tilted, θ = 63.6288° square 10: tilted, θ = 63.6288° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: tilted, θ = 62.0337° square 13: tilted, θ = 63.6288° square 14: tilted, θ = 63.6288° square 15: tilted, θ = 63.6288° square 16: tilted, θ = 63.6288° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: tilted, θ = 64.0435° square 19: tilted, θ = 63.6288° square 20: tilted, θ = 63.6288° square 21: tilted, θ = 63.6288° square 22: tilted, θ = 63.6288° square 23: tilted, θ = 63.4533° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 63.6288° square 26: tilted, θ = 63.6288° square 27: tilted, θ = 63.6288° square 28: tilted, θ = 63.6288° square 29: tilted, θ = 62.0337° square 30: tilted, θ = 63.6288° square 31: tilted, θ = 63.8151° square 32: tilted, θ = 63.6288° square 33: tilted, θ = 63.6288° square 34: tilted, θ = 63.6288° square 35: tilted, θ = 63.5280° square 36: tilted, θ = 62.0337° square 37: tilted, θ = 64.0545° square 38: tilted, θ = 63.6288° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: tilted, θ = 62.0337° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: tilted, θ = 63.8510° square 43: tilted, θ = 63.6288° r (44, 3) ≤ 5.8087 before: 5.8387 · GPU search, staircase start square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: tilted, θ = 23.1099° square 17: tilted, θ = 23.1099° square 18: tilted, θ = 24.5649° square 19: tilted, θ = 23.1099° square 20: tilted, θ = 23.1201° square 21: tilted, θ = 23.1201° square 22: tilted, θ = 25.8941° square 23: tilted, θ = 23.1099° square 24: tilted, θ = 23.4318° square 25: tilted, θ = 25.0446° square 26: tilted, θ = 23.1099° square 27: tilted, θ = 23.2534° square 28: tilted, θ = 22.5197° square 29: tilted, θ = 23.1201° square 30: tilted, θ = 25.0575° square 31: tilted, θ = 23.9475° square 32: tilted, θ = 23.8659° square 33: tilted, θ = 25.8992° square 34: tilted, θ = 23.1201° square 35: tilted, θ = 23.1099° square 36: tilted, θ = 23.1201° square 37: tilted, θ = 23.1099° square 38: tilted, θ = 25.0575° square 39: tilted, θ = 25.0376° square 40: tilted, θ = 23.1201° square 41: tilted, θ = 23.1099° square 42: tilted, θ = 24.1443° square 43: tilted, θ = 25.0575° square 44: tilted, θ = 23.8534° square 45: tilted, θ = 25.8941° square 46: tilted, θ = 23.1099° square 47: tilted, θ = 23.1201° square 48: tilted, θ = 23.9490° square 49: tilted, θ = 25.0575° square 50: tilted, θ = 23.1201° square 51: tilted, θ = 23.1201° square 52: tilted, θ = 23.4325° square 53: tilted, θ = 24.1442° square 54: tilted, θ = 24.5649° square 55: tilted, θ = 23.1201° square 56: tilted, θ = 23.1099° square 57: tilted, θ = 22.3161° square 58: tilted, θ = 23.2471° square 59: tilted, θ = 25.8992° square 60: tilted, θ = 23.1099° square 61: tilted, θ = 23.1201° r (62, 6) ≤ 5.9100 before: 5.9306 · GPU search, staircase start square 0: tilted, θ = 38.9750° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: tilted, θ = 50.8015° square 22: tilted, θ = 45.9919° square 23: tilted, θ = 51.5027° square 24: tilted, θ = 51.5058° square 25: tilted, θ = 51.5961° square 26: tilted, θ = 51.0699° square 27: tilted, θ = 50.7642° square 28: tilted, θ = 46.0019° square 29: tilted, θ = 51.7754° square 30: tilted, θ = 50.7290° square 31: tilted, θ = 50.7426° square 32: tilted, θ = 51.0676° square 33: tilted, θ = 50.8662° square 34: tilted, θ = 38.9927° square 35: tilted, θ = 39.0902° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: tilted, θ = 39.0902° square 40: tilted, θ = 39.0902° square 41: tilted, θ = 39.0902° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: tilted, θ = 39.0902° square 46: tilted, θ = 39.0894° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: tilted, θ = 39.0902° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: tilted, θ = 39.0902° square 55: tilted, θ = 39.0315° square 56: tilted, θ = 45.6746° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: tilted, θ = 39.0273° square 61: tilted, θ = 45.8410° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: tilted, θ = 50.5408° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: tilted, θ = 38.9945° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: tilted, θ = 39.0326° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: tilted, θ = 38.9761° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: tilted, θ = 39.0902° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: tilted, θ = 39.0017° square 162: tilted, θ = 39.0381° r (163, 3) ≤ 11.8700 before: 11.8720 · cut from 302, re-optimisedh × h square, which holds 129 of them They give these records:
r (38, 2):s (175) ≤ 8 + r (38, 2), 171's layout with the new piece
in place of Schadt's; s (232) ≤ 10 + r (38, 2), next to a 76-square piece of Erich Friedman's
packing for 85. It also makes 264 possible. There the other piece, 93 squares cut from Joost de Winter's
packing for 126 (in Evan Daniel's exact form), sets the side: s (264) ≤ 8 + r (93, 3) =
16.7747. The 38-square piece only has to fit in the room left beside it, 5.7747. The old one (5.8203) did
not; the new one does.r (44, 3):s (204) ≤ 9 + r (44, 3), two copies in opposite corners.
That is 1.4e−2 below the previous best, 27/2 + √7/2, which extends Erich Friedman's packing for 86
[7] . Next to the 38-square piece it also gave our first 176, 8 + r (44, 3) =
13.8087, which Francisco Couzo then improved, starting from our packing [4] . The next step
took 176 further (below).r (62, 6):s (303) ≤ 12 + r (62, 6), two copies in opposite
corners.r (163, 3):h × h square holds 129 of the squares, so
s (129) ≤ r (163, 3). The corner of the 302 packing is essentially the previous record for
129, Ryan Xu's [2] ; ours is the same layout with the re-settled band.
Wherever a piece sets the side, everything taken off the piece comes straight off the square. As with the band
records, each composite is then taken to the exact optimum of its arrangement and certified in exact arithmetic
before it counts. In the figures, the new piece is outlined.
n = 175
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, elsewhere, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, elsewhere, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, elsewhere, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: tilted, θ = 63.5080° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: tilted, θ = 85.1626° square 11: tilted, θ = 65.2572° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0082° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: tilted, θ = 58.5292° square 24: tilted, θ = 58.5292° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: tilted, θ = 58.2131° square 27: tilted, θ = 58.5292° square 28: tilted, θ = 58.5292° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 58.2131° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.3227° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: tilted, θ = 64.3056° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, elsewhere, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: tilted, θ = 59.2218° square 101: tilted, θ = 59.2218° square 102: tilted, θ = 63.5080° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: tilted, θ = 62.3334° square 112: tilted, θ = 63.5080° square 113: tilted, θ = 63.5080° square 114: tilted, θ = 63.5080° square 115: tilted, θ = 63.5080° square 116: tilted, θ = 65.2893° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 89.9684° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: tilted, θ = 63.5080° square 123: tilted, θ = 63.5080° square 124: tilted, θ = 63.5080° square 125: tilted, θ = 63.5080° square 126: tilted, θ = 63.5080° square 127: tilted, θ = 64.0916° square 128: tilted, θ = 65.2893° square 129: tilted, θ = 64.1205° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: tilted, θ = 83.2915° square 133: tilted, θ = 63.5080° square 134: tilted, θ = 63.5080° square 135: tilted, θ = 63.5080° square 136: tilted, θ = 63.5080° square 137: tilted, θ = 64.0916° square 138: tilted, θ = 63.8874° square 139: tilted, θ = 62.9887° square 140: tilted, θ = 58.2131° square 141: tilted, θ = 58.2131° square 142: tilted, θ = 62.9203° square 143: tilted, θ = 62.9203° square 144: tilted, θ = 63.5080° square 145: tilted, θ = 63.5080° square 146: tilted, θ = 63.4357° square 147: tilted, θ = 63.4357° square 148: tilted, θ = 64.0916° square 149: tilted, θ = 63.8874° square 150: tilted, θ = 62.9887° square 151: tilted, θ = 58.2131° square 152: tilted, θ = 58.2131° square 153: tilted, θ = 58.2131° square 154: tilted, θ = 58.2131° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: tilted, θ = 63.5080° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: tilted, θ = 63.4357° square 159: tilted, θ = 64.0916° square 160: tilted, θ = 63.8874° square 161: tilted, θ = 62.9887° square 162: tilted, θ = 62.9894° square 163: tilted, θ = 58.2131° square 164: tilted, θ = 58.2131° square 165: tilted, θ = 57.9578° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.3227° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: tilted, θ = 64.3056° square 170: tilted, θ = 63.8874° square 171: tilted, θ = 62.9887° square 172: tilted, θ = 62.9894° square 173: tilted, θ = 62.9894° square 174: aligned, elsewhere, θ = 0.0000° previous bests = 13.767119024 106 corner-structure · 5 other aligned · 64 tilted square 0: aligned, elsewhere, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: tilted, θ = 29.4146° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: tilted, θ = 29.4146° square 6: tilted, θ = 28.8177° square 7: tilted, θ = 29.4146° square 8: tilted, θ = 29.4146° square 9: aligned, elsewhere, θ = 0.0000° square 10: tilted, θ = 29.4146° square 11: tilted, θ = 29.4146° square 12: tilted, θ = 3.5545° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: tilted, θ = 29.4146° square 15: tilted, θ = 29.4146° square 16: tilted, θ = 29.4146° square 17: tilted, θ = 29.4146° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: tilted, θ = 29.4146° square 20: tilted, θ = 29.4146° square 21: tilted, θ = 29.4146° square 22: tilted, θ = 29.4146° square 23: tilted, θ = 29.4146° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 29.4146° square 26: tilted, θ = 29.7363° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 29.8490° square 31: tilted, θ = 27.9276° square 32: tilted, θ = 29.4146° square 33: tilted, θ = 28.8088° square 34: tilted, θ = 29.4146° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: tilted, θ = 30.0225° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, elsewhere, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: tilted, θ = 60.5854° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: tilted, θ = 60.5854° square 44: tilted, θ = 61.1823° square 45: tilted, θ = 60.5854° square 46: tilted, θ = 60.5854° square 47: aligned, elsewhere, θ = 0.0000° square 48: tilted, θ = 60.5854° square 49: tilted, θ = 60.5854° square 50: tilted, θ = 86.4455° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: tilted, θ = 60.5854° square 53: tilted, θ = 60.5854° square 54: tilted, θ = 60.5854° square 55: tilted, θ = 60.5854° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: tilted, θ = 60.5854° square 58: tilted, θ = 60.5854° square 59: tilted, θ = 60.5854° square 60: tilted, θ = 60.5854° square 61: tilted, θ = 60.5854° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: tilted, θ = 60.5854° square 64: tilted, θ = 60.2637° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: tilted, θ = 60.1510° square 69: tilted, θ = 62.0724° square 70: tilted, θ = 60.5854° square 71: tilted, θ = 61.1912° square 72: tilted, θ = 60.5854° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: tilted, θ = 59.9775° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° ourss = 13.764174317 121 corner-structure · 4 other aligned · 50 tilted dashed outline: the new 38-square block, other squares of ours faded · scroll to zoom · drag to pan · double-click to reset (both panels move together)
n = 232
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, elsewhere, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: tilted, θ = 48.2512° square 5: tilted, θ = 88.7475° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, elsewhere, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: tilted, θ = 89.3921° square 28: aligned, elsewhere, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: tilted, θ = 31.4319° square 42: tilted, θ = 31.4319° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: tilted, θ = 31.4319° square 54: tilted, θ = 26.4416° square 55: tilted, θ = 31.4319° square 56: tilted, θ = 31.7212° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 89.9829° square 67: tilted, θ = 26.4416° square 68: tilted, θ = 31.7212° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: tilted, θ = 26.6445° square 78: tilted, θ = 27.0642° square 79: tilted, θ = 31.7212° square 80: tilted, θ = 31.7212° square 81: aligned, part of a corner structure, θ = 89.8936° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: tilted, θ = 24.6655° square 89: tilted, θ = 24.6655° square 90: tilted, θ = 26.0023° square 91: tilted, θ = 31.7212° square 92: tilted, θ = 31.7212° square 93: tilted, θ = 31.7212° square 94: tilted, θ = 30.4955° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: tilted, θ = 26.6445° square 99: tilted, θ = 26.6445° square 100: tilted, θ = 26.6445° square 101: tilted, θ = 25.9293° square 102: tilted, θ = 26.1331° square 103: aligned, elsewhere, θ = 0.0000° square 104: tilted, θ = 31.7212° square 105: tilted, θ = 31.7212° square 106: tilted, θ = 27.0642° square 107: aligned, elsewhere, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: tilted, θ = 30.4041° square 111: tilted, θ = 26.6445° square 112: tilted, θ = 26.6445° square 113: tilted, θ = 26.6445° square 114: tilted, θ = 25.9293° square 115: tilted, θ = 26.1331° square 116: tilted, θ = 27.0642° square 117: tilted, θ = 27.1243° square 118: tilted, θ = 27.1243° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, elsewhere, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: tilted, θ = 30.4041° square 123: tilted, θ = 26.6445° square 124: tilted, θ = 26.6426° square 125: tilted, θ = 31.7212° square 126: tilted, θ = 26.6445° square 127: tilted, θ = 26.6445° square 128: tilted, θ = 25.9293° square 129: tilted, θ = 26.1331° square 130: tilted, θ = 27.0642° square 131: tilted, θ = 27.0642° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: tilted, θ = 26.6445° square 137: tilted, θ = 26.6445° square 138: tilted, θ = 26.6445° square 139: tilted, θ = 26.6445° square 140: tilted, θ = 26.6445° square 141: tilted, θ = 25.9293° square 142: tilted, θ = 26.1331° square 143: tilted, θ = 25.6472° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, elsewhere, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: tilted, θ = 26.6445° square 151: tilted, θ = 26.6445° square 152: tilted, θ = 26.6445° square 153: tilted, θ = 26.6445° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: tilted, θ = 26.6445° square 156: tilted, θ = 25.6472° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: tilted, θ = 26.3823° square 163: tilted, θ = 26.6445° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: aligned, part of a corner structure, θ = 0.0000° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: aligned, part of a corner structure, θ = 0.0000° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: aligned, part of a corner structure, θ = 0.0000° square 211: aligned, part of a corner structure, θ = 0.0000° square 212: aligned, part of a corner structure, θ = 0.0000° square 213: aligned, part of a corner structure, θ = 0.0000° square 214: aligned, part of a corner structure, θ = 0.0000° square 215: aligned, part of a corner structure, θ = 0.0000° square 216: aligned, part of a corner structure, θ = 0.0000° square 217: aligned, part of a corner structure, θ = 0.0000° square 218: aligned, part of a corner structure, θ = 0.0000° square 219: aligned, part of a corner structure, θ = 0.0000° square 220: aligned, part of a corner structure, θ = 0.0000° square 221: aligned, part of a corner structure, θ = 0.0000° square 222: aligned, part of a corner structure, θ = 0.0000° square 223: aligned, part of a corner structure, θ = 0.0000° square 224: aligned, part of a corner structure, θ = 0.0000° square 225: aligned, part of a corner structure, θ = 0.0000° square 226: aligned, part of a corner structure, θ = 0.0000° square 227: aligned, part of a corner structure, θ = 0.0000° square 228: aligned, part of a corner structure, θ = 0.0000° square 229: aligned, elsewhere, θ = 0.0000° square 230: aligned, elsewhere, θ = 0.0000° square 231: aligned, elsewhere, θ = 0.0000° previous bests = 15.767428350 157 corner-structure · 10 other aligned · 65 tilted square 0: aligned, elsewhere, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: tilted, θ = 60.5854° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: tilted, θ = 60.5854° square 6: tilted, θ = 61.1823° square 7: tilted, θ = 60.5854° square 8: tilted, θ = 60.5854° square 9: aligned, elsewhere, θ = 0.0000° square 10: tilted, θ = 60.5854° square 11: tilted, θ = 60.5854° square 12: tilted, θ = 86.4455° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: tilted, θ = 60.5854° square 15: tilted, θ = 60.5854° square 16: tilted, θ = 60.5854° square 17: tilted, θ = 60.5854° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: tilted, θ = 60.5854° square 20: tilted, θ = 60.5854° square 21: tilted, θ = 60.5854° square 22: tilted, θ = 60.5854° square 23: tilted, θ = 60.5854° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 60.5854° square 26: tilted, θ = 60.2637° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 60.1510° square 31: tilted, θ = 62.0724° square 32: tilted, θ = 60.5854° square 33: tilted, θ = 61.1912° square 34: tilted, θ = 60.5854° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: tilted, θ = 59.9780° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: tilted, θ = 45.0000° square 79: tilted, θ = 45.0000° square 80: tilted, θ = 45.0000° square 81: tilted, θ = 45.0000° square 82: tilted, θ = 45.0000° square 83: tilted, θ = 45.0000° square 84: tilted, θ = 45.0000° square 85: tilted, θ = 45.0000° square 86: tilted, θ = 45.0000° square 87: tilted, θ = 45.0000° square 88: tilted, θ = 45.0000° square 89: tilted, θ = 45.0000° square 90: tilted, θ = 45.0000° square 91: tilted, θ = 45.0000° square 92: tilted, θ = 45.0000° square 93: tilted, θ = 45.0000° square 94: tilted, θ = 45.0000° square 95: tilted, θ = 45.0000° square 96: tilted, θ = 45.0000° square 97: tilted, θ = 45.0000° square 98: tilted, θ = 45.0000° square 99: tilted, θ = 45.0000° square 100: tilted, θ = 45.0000° square 101: tilted, θ = 45.0000° square 102: tilted, θ = 45.0000° square 103: tilted, θ = 45.0000° square 104: tilted, θ = 45.0000° square 105: tilted, θ = 45.0000° square 106: tilted, θ = 45.0000° square 107: tilted, θ = 45.0000° square 108: tilted, θ = 45.0000° square 109: tilted, θ = 45.0000° square 110: tilted, θ = 45.0000° square 111: tilted, θ = 45.0000° square 112: tilted, θ = 45.0000° square 113: tilted, θ = 45.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: aligned, part of a corner structure, θ = 0.0000° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: aligned, part of a corner structure, θ = 0.0000° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: aligned, part of a corner structure, θ = 0.0000° square 211: aligned, part of a corner structure, θ = 0.0000° square 212: aligned, part of a corner structure, θ = 0.0000° square 213: aligned, part of a corner structure, θ = 0.0000° square 214: aligned, part of a corner structure, θ = 0.0000° square 215: aligned, part of a corner structure, θ = 0.0000° square 216: aligned, part of a corner structure, θ = 0.0000° square 217: aligned, part of a corner structure, θ = 0.0000° square 218: aligned, part of a corner structure, θ = 0.0000° square 219: aligned, part of a corner structure, θ = 0.0000° square 220: aligned, part of a corner structure, θ = 0.0000° square 221: aligned, part of a corner structure, θ = 0.0000° square 222: aligned, part of a corner structure, θ = 0.0000° square 223: aligned, part of a corner structure, θ = 0.0000° square 224: aligned, part of a corner structure, θ = 0.0000° square 225: aligned, part of a corner structure, θ = 0.0000° square 226: aligned, part of a corner structure, θ = 0.0000° square 227: aligned, part of a corner structure, θ = 0.0000° square 228: aligned, part of a corner structure, θ = 0.0000° square 229: aligned, part of a corner structure, θ = 0.0000° square 230: aligned, part of a corner structure, θ = 0.0000° square 231: aligned, part of a corner structure, θ = 0.0000° ourss = 15.764174317 169 corner-structure · 2 other aligned · 61 tilted dashed outline: the new 38-square block, other squares of ours faded · scroll to zoom · drag to pan · double-click to reset (both panels move together)
n = 264
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: tilted, θ = 45.0000° square 145: tilted, θ = 45.0000° square 146: tilted, θ = 45.0000° square 147: tilted, θ = 45.0000° square 148: tilted, θ = 45.0000° square 149: tilted, θ = 45.0000° square 150: tilted, θ = 45.0000° square 151: tilted, θ = 45.0000° square 152: tilted, θ = 45.0000° square 153: tilted, θ = 45.0000° square 154: tilted, θ = 45.0000° square 155: tilted, θ = 45.0000° square 156: tilted, θ = 45.0000° square 157: tilted, θ = 45.0000° square 158: tilted, θ = 45.0000° square 159: tilted, θ = 45.0000° square 160: tilted, θ = 45.0000° square 161: tilted, θ = 45.0000° square 162: tilted, θ = 45.0000° square 163: tilted, θ = 45.0000° square 164: tilted, θ = 45.0000° square 165: tilted, θ = 45.0000° square 166: tilted, θ = 45.0000° square 167: tilted, θ = 45.0000° square 168: tilted, θ = 45.0000° square 169: tilted, θ = 45.0000° square 170: tilted, θ = 45.0000° square 171: tilted, θ = 45.0000° square 172: tilted, θ = 45.0000° square 173: tilted, θ = 45.0000° square 174: tilted, θ = 45.0000° square 175: tilted, θ = 45.0000° square 176: tilted, θ = 45.0000° square 177: tilted, θ = 45.0000° square 178: tilted, θ = 45.0000° square 179: tilted, θ = 45.0000° square 180: tilted, θ = 45.0000° square 181: tilted, θ = 45.0000° square 182: tilted, θ = 45.0000° square 183: tilted, θ = 45.0000° square 184: tilted, θ = 45.0000° square 185: tilted, θ = 45.0000° square 186: tilted, θ = 45.0000° square 187: tilted, θ = 45.0000° square 188: tilted, θ = 45.0000° square 189: tilted, θ = 45.0000° square 190: tilted, θ = 45.0000° square 191: tilted, θ = 45.0000° square 192: tilted, θ = 45.0000° square 193: tilted, θ = 45.0000° square 194: tilted, θ = 45.0000° square 195: tilted, θ = 45.0000° square 196: tilted, θ = 45.0000° square 197: tilted, θ = 45.0000° square 198: tilted, θ = 45.0000° square 199: tilted, θ = 45.0000° square 200: tilted, θ = 45.0000° square 201: tilted, θ = 45.0000° square 202: tilted, θ = 45.0000° square 203: tilted, θ = 45.0000° square 204: tilted, θ = 45.0000° square 205: tilted, θ = 45.0000° square 206: tilted, θ = 45.0000° square 207: tilted, θ = 45.0000° square 208: tilted, θ = 45.0000° square 209: tilted, θ = 45.0000° square 210: tilted, θ = 45.0000° square 211: tilted, θ = 45.0000° square 212: tilted, θ = 45.0000° square 213: tilted, θ = 45.0000° square 214: tilted, θ = 45.0000° square 215: tilted, θ = 45.0000° square 216: tilted, θ = 45.0000° square 217: tilted, θ = 45.0000° square 218: tilted, θ = 45.0000° square 219: tilted, θ = 45.0000° square 220: tilted, θ = 45.0000° square 221: tilted, θ = 45.0000° square 222: tilted, θ = 45.0000° square 223: tilted, θ = 45.0000° square 224: tilted, θ = 45.0000° square 225: tilted, θ = 45.0000° square 226: tilted, θ = 45.0000° square 227: tilted, θ = 45.0000° square 228: tilted, θ = 45.0000° square 229: tilted, θ = 45.0000° square 230: tilted, θ = 45.0000° square 231: tilted, θ = 45.0000° square 232: tilted, θ = 45.0000° square 233: tilted, θ = 45.0000° square 234: tilted, θ = 45.0000° square 235: tilted, θ = 45.0000° square 236: tilted, θ = 45.0000° square 237: tilted, θ = 45.0000° square 238: tilted, θ = 45.0000° square 239: tilted, θ = 45.0000° square 240: tilted, θ = 45.0000° square 241: tilted, θ = 45.0000° square 242: tilted, θ = 45.0000° square 243: tilted, θ = 45.0000° square 244: tilted, θ = 45.0000° square 245: tilted, θ = 45.0000° square 246: tilted, θ = 45.0000° square 247: tilted, θ = 45.0000° square 248: tilted, θ = 45.0000° square 249: tilted, θ = 45.0000° square 250: tilted, θ = 45.0000° square 251: tilted, θ = 45.0000° square 252: tilted, θ = 45.0000° square 253: tilted, θ = 45.0000° square 254: tilted, θ = 45.0000° square 255: tilted, θ = 45.0000° square 256: tilted, θ = 45.0000° square 257: tilted, θ = 45.0000° square 258: tilted, θ = 45.0000° square 259: tilted, θ = 45.0000° square 260: tilted, θ = 45.0000° square 261: tilted, θ = 45.0000° square 262: tilted, θ = 45.0000° square 263: tilted, θ = 45.0000° previous bests = 16.778174593 144 corner-structure · 0 other aligned · 120 tilted square 0: aligned, elsewhere, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: tilted, θ = 60.5854° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: tilted, θ = 60.5854° square 6: tilted, θ = 61.1823° square 7: tilted, θ = 60.5854° square 8: tilted, θ = 60.5854° square 9: aligned, elsewhere, θ = 0.0000° square 10: tilted, θ = 60.5854° square 11: tilted, θ = 60.5854° square 12: tilted, θ = 86.4455° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: tilted, θ = 60.5854° square 15: tilted, θ = 60.5854° square 16: tilted, θ = 60.5854° square 17: tilted, θ = 60.5854° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: tilted, θ = 60.5854° square 20: tilted, θ = 60.5854° square 21: tilted, θ = 60.5854° square 22: tilted, θ = 60.5854° square 23: tilted, θ = 60.5854° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 60.5854° square 26: tilted, θ = 60.2637° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 60.1510° square 31: tilted, θ = 62.0724° square 32: tilted, θ = 60.5854° square 33: tilted, θ = 61.1912° square 34: tilted, θ = 60.5854° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: tilted, θ = 59.9780° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, elsewhere, θ = 0.0000° square 73: aligned, elsewhere, θ = 0.0000° square 74: aligned, elsewhere, θ = 0.0000° square 75: aligned, elsewhere, θ = 0.0000° square 76: aligned, elsewhere, θ = 0.0000° square 77: aligned, elsewhere, θ = 0.0000° square 78: tilted, θ = 66.7537° square 79: tilted, θ = 63.6489° square 80: tilted, θ = 66.7537° square 81: tilted, θ = 63.6489° square 82: tilted, θ = 63.6489° square 83: tilted, θ = 66.7537° square 84: tilted, θ = 66.7537° square 85: tilted, θ = 67.9038° square 86: tilted, θ = 66.7537° square 87: tilted, θ = 66.7537° square 88: tilted, θ = 67.9038° square 89: tilted, θ = 66.7537° square 90: tilted, θ = 66.7537° square 91: tilted, θ = 66.7537° square 92: tilted, θ = 67.9038° square 93: tilted, θ = 66.7537° square 94: tilted, θ = 63.6489° square 95: tilted, θ = 63.6489° square 96: tilted, θ = 66.7537° square 97: tilted, θ = 66.7537° square 98: tilted, θ = 62.9786° square 99: tilted, θ = 67.9038° square 100: tilted, θ = 63.6489° square 101: tilted, θ = 66.7537° square 102: tilted, θ = 66.7537° square 103: tilted, θ = 72.0098° square 104: tilted, θ = 66.7537° square 105: tilted, θ = 66.7537° square 106: tilted, θ = 67.9038° square 107: tilted, θ = 58.3781° square 108: tilted, θ = 66.7537° square 109: tilted, θ = 66.7537° square 110: tilted, θ = 68.2903° square 111: tilted, θ = 67.9038° square 112: tilted, θ = 66.7537° square 113: tilted, θ = 66.7537° square 114: tilted, θ = 66.7537° square 115: tilted, θ = 66.7537° square 116: tilted, θ = 62.9786° square 117: tilted, θ = 66.7537° square 118: tilted, θ = 72.0098° square 119: tilted, θ = 66.7537° square 120: tilted, θ = 58.3781° square 121: tilted, θ = 63.6489° square 122: tilted, θ = 66.7537° square 123: tilted, θ = 66.7537° square 124: tilted, θ = 68.4565° square 125: tilted, θ = 66.7537° square 126: tilted, θ = 63.6489° square 127: tilted, θ = 67.9038° square 128: tilted, θ = 66.7537° square 129: tilted, θ = 66.7537° square 130: tilted, θ = 66.7537° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: aligned, part of a corner structure, θ = 0.0000° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: aligned, part of a corner structure, θ = 0.0000° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: aligned, part of a corner structure, θ = 0.0000° square 211: aligned, part of a corner structure, θ = 0.0000° square 212: aligned, part of a corner structure, θ = 0.0000° square 213: aligned, part of a corner structure, θ = 0.0000° square 214: aligned, part of a corner structure, θ = 0.0000° square 215: aligned, part of a corner structure, θ = 0.0000° square 216: aligned, part of a corner structure, θ = 0.0000° square 217: aligned, part of a corner structure, θ = 0.0000° square 218: aligned, part of a corner structure, θ = 0.0000° square 219: aligned, part of a corner structure, θ = 0.0000° square 220: aligned, part of a corner structure, θ = 0.0000° square 221: aligned, part of a corner structure, θ = 0.0000° square 222: aligned, part of a corner structure, θ = 0.0000° square 223: aligned, part of a corner structure, θ = 0.0000° square 224: aligned, part of a corner structure, θ = 0.0000° square 225: aligned, part of a corner structure, θ = 0.0000° square 226: aligned, part of a corner structure, θ = 0.0000° square 227: aligned, part of a corner structure, θ = 0.0000° square 228: aligned, part of a corner structure, θ = 0.0000° square 229: aligned, part of a corner structure, θ = 0.0000° square 230: aligned, part of a corner structure, θ = 0.0000° square 231: aligned, part of a corner structure, θ = 0.0000° square 232: aligned, part of a corner structure, θ = 0.0000° square 233: aligned, part of a corner structure, θ = 0.0000° square 234: aligned, part of a corner structure, θ = 0.0000° square 235: aligned, part of a corner structure, θ = 0.0000° square 236: aligned, part of a corner structure, θ = 0.0000° square 237: aligned, part of a corner structure, θ = 0.0000° square 238: aligned, part of a corner structure, θ = 0.0000° square 239: aligned, part of a corner structure, θ = 0.0000° square 240: aligned, part of a corner structure, θ = 0.0000° square 241: aligned, part of a corner structure, θ = 0.0000° square 242: aligned, part of a corner structure, θ = 0.0000° square 243: aligned, part of a corner structure, θ = 0.0000° square 244: aligned, part of a corner structure, θ = 0.0000° square 245: aligned, part of a corner structure, θ = 0.0000° square 246: aligned, part of a corner structure, θ = 0.0000° square 247: aligned, part of a corner structure, θ = 0.0000° square 248: aligned, part of a corner structure, θ = 0.0000° square 249: aligned, part of a corner structure, θ = 0.0000° square 250: aligned, part of a corner structure, θ = 0.0000° square 251: aligned, part of a corner structure, θ = 0.0000° square 252: aligned, part of a corner structure, θ = 0.0000° square 253: aligned, part of a corner structure, θ = 0.0000° square 254: aligned, part of a corner structure, θ = 0.0000° square 255: aligned, part of a corner structure, θ = 0.0000° square 256: aligned, part of a corner structure, θ = 0.0000° square 257: aligned, part of a corner structure, θ = 0.0000° square 258: aligned, part of a corner structure, θ = 0.0000° square 259: aligned, part of a corner structure, θ = 0.0000° square 260: aligned, part of a corner structure, θ = 0.0000° square 261: aligned, part of a corner structure, θ = 0.0000° square 262: aligned, part of a corner structure, θ = 0.0000° square 263: aligned, part of a corner structure, θ = 0.0000° ourss = 16.774735132 178 corner-structure · 8 other aligned · 78 tilted dashed outline: the new 38-square block, other squares of ours faded · scroll to zoom · drag to pan · double-click to reset (both panels move together)
n = 204
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: tilted, θ = 24.2952° square 175: tilted, θ = 24.2952° square 176: tilted, θ = 24.2952° square 177: tilted, θ = 24.2952° square 178: tilted, θ = 24.2952° square 179: tilted, θ = 24.2952° square 180: tilted, θ = 24.2952° square 181: tilted, θ = 24.2952° square 182: tilted, θ = 24.2952° square 183: tilted, θ = 24.2952° square 184: tilted, θ = 24.2952° square 185: tilted, θ = 24.2952° square 186: tilted, θ = 24.2952° square 187: tilted, θ = 24.2952° square 188: tilted, θ = 24.2952° square 189: tilted, θ = 24.2952° square 190: tilted, θ = 24.2952° square 191: tilted, θ = 24.2952° square 192: tilted, θ = 24.2952° square 193: tilted, θ = 24.2952° square 194: tilted, θ = 24.2952° square 195: tilted, θ = 24.2952° square 196: tilted, θ = 24.2952° square 197: tilted, θ = 24.2952° square 198: tilted, θ = 24.2952° square 199: tilted, θ = 24.2952° square 200: tilted, θ = 24.2952° square 201: tilted, θ = 24.2952° square 202: tilted, θ = 24.2952° square 203: tilted, θ = 24.2952° previous bests = 14.822875656 174 corner-structure · 0 other aligned · 30 tilted square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, elsewhere, θ = 0.0000° square 3: aligned, elsewhere, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, elsewhere, θ = 0.0000° square 9: tilted, θ = 26.3712° square 10: tilted, θ = 26.3712° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: tilted, θ = 27.9663° square 13: tilted, θ = 26.3712° square 14: tilted, θ = 26.3712° square 15: tilted, θ = 26.3712° square 16: tilted, θ = 26.3712° square 17: aligned, elsewhere, θ = 0.0000° square 18: tilted, θ = 25.9565° square 19: tilted, θ = 26.3712° square 20: tilted, θ = 26.3712° square 21: tilted, θ = 26.3712° square 22: tilted, θ = 26.3712° square 23: tilted, θ = 26.5467° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 26.3712° square 26: tilted, θ = 26.3712° square 27: tilted, θ = 26.3712° square 28: tilted, θ = 26.3712° square 29: tilted, θ = 27.9663° square 30: tilted, θ = 26.3712° square 31: tilted, θ = 26.1849° square 32: tilted, θ = 26.3712° square 33: tilted, θ = 26.3712° square 34: tilted, θ = 26.3712° square 35: tilted, θ = 26.4720° square 36: tilted, θ = 27.9663° square 37: tilted, θ = 25.9455° square 38: tilted, θ = 26.3712° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: tilted, θ = 27.9663° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: tilted, θ = 26.1490° square 43: tilted, θ = 26.3712° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, elsewhere, θ = 0.0000° square 47: aligned, elsewhere, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, elsewhere, θ = 0.0000° square 53: tilted, θ = 63.6288° square 54: tilted, θ = 63.6288° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: tilted, θ = 62.0337° square 57: tilted, θ = 63.6288° square 58: tilted, θ = 63.6288° square 59: tilted, θ = 63.6288° square 60: tilted, θ = 63.6288° square 61: aligned, elsewhere, θ = 0.0000° square 62: tilted, θ = 63.8716° square 63: tilted, θ = 63.6288° square 64: tilted, θ = 63.6288° square 65: tilted, θ = 63.6288° square 66: tilted, θ = 63.6288° square 67: tilted, θ = 63.4533° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: tilted, θ = 63.6288° square 70: tilted, θ = 63.6288° square 71: tilted, θ = 63.6288° square 72: tilted, θ = 63.6288° square 73: tilted, θ = 62.0337° square 74: tilted, θ = 63.6288° square 75: tilted, θ = 63.7879° square 76: tilted, θ = 63.6288° square 77: tilted, θ = 63.6288° square 78: tilted, θ = 63.6288° square 79: tilted, θ = 63.5280° square 80: tilted, θ = 62.0337° square 81: tilted, θ = 64.0545° square 82: tilted, θ = 63.6288° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: tilted, θ = 62.0337° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: tilted, θ = 63.8510° square 87: tilted, θ = 63.6288° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° ourss = 14.808663234 136 corner-structure · 8 other aligned · 60 tilted dashed outline: the new 44-square block, other squares of ours faded · scroll to zoom · drag to pan · double-click to reset (both panels move together)
n = 303
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: tilted, θ = 45.1320° square 4: tilted, θ = 45.1320° square 5: tilted, θ = 45.1320° square 6: tilted, θ = 45.1320° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: tilted, θ = 45.1320° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, elsewhere, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, part of a corner structure, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: tilted, θ = 45.1320° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: tilted, θ = 56.2450° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: tilted, θ = 45.7346° square 139: tilted, θ = 45.7346° square 140: tilted, θ = 45.6453° square 141: tilted, θ = 45.7346° square 142: tilted, θ = 63.3161° square 143: tilted, θ = 62.5146° square 144: tilted, θ = 63.3161° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: tilted, θ = 63.3161° square 147: tilted, θ = 63.3161° square 148: tilted, θ = 63.3161° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: tilted, θ = 63.3161° square 151: tilted, θ = 63.3161° square 152: tilted, θ = 63.3161° square 153: tilted, θ = 63.3161° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: tilted, θ = 62.5146° square 157: tilted, θ = 63.3161° square 158: tilted, θ = 63.3161° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: tilted, θ = 55.5813° square 162: tilted, θ = 55.5813° square 163: tilted, θ = 63.3161° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: tilted, θ = 55.5813° square 167: tilted, θ = 55.5813° square 168: tilted, θ = 76.3201° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: tilted, θ = 49.0619° square 172: aligned, elsewhere, θ = 0.0000° square 173: tilted, θ = 45.7346° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: tilted, θ = 45.7346° square 177: tilted, θ = 41.4208° square 178: tilted, θ = 41.4208° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: tilted, θ = 36.6720° square 181: tilted, θ = 36.6720° square 182: tilted, θ = 36.6720° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: tilted, θ = 36.6720° square 185: tilted, θ = 36.6720° square 186: tilted, θ = 36.6720° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: tilted, θ = 35.9977° square 191: tilted, θ = 35.9977° square 192: aligned, elsewhere, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: tilted, θ = 37.5086° square 196: tilted, θ = 37.5086° square 197: tilted, θ = 37.5086° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: tilted, θ = 43.9288° square 201: tilted, θ = 37.5086° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: tilted, θ = 45.6453° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: tilted, θ = 45.6453° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: tilted, θ = 45.6453° square 211: tilted, θ = 45.6453° square 212: aligned, part of a corner structure, θ = 0.0000° square 213: aligned, part of a corner structure, θ = 0.0000° square 214: aligned, part of a corner structure, θ = 0.0000° square 215: aligned, part of a corner structure, θ = 0.0000° square 216: aligned, part of a corner structure, θ = 0.0000° square 217: aligned, part of a corner structure, θ = 0.0000° square 218: aligned, part of a corner structure, θ = 0.0000° square 219: aligned, part of a corner structure, θ = 0.0000° square 220: aligned, part of a corner structure, θ = 0.0000° square 221: aligned, part of a corner structure, θ = 0.0000° square 222: aligned, part of a corner structure, θ = 0.0000° square 223: aligned, part of a corner structure, θ = 0.0000° square 224: aligned, part of a corner structure, θ = 0.0000° square 225: aligned, part of a corner structure, θ = 0.0000° square 226: aligned, part of a corner structure, θ = 0.0000° square 227: aligned, part of a corner structure, θ = 0.0000° square 228: aligned, part of a corner structure, θ = 0.0000° square 229: aligned, part of a corner structure, θ = 0.0000° square 230: aligned, part of a corner structure, θ = 0.0000° square 231: aligned, part of a corner structure, θ = 0.0000° square 232: aligned, part of a corner structure, θ = 0.0000° square 233: aligned, part of a corner structure, θ = 0.0000° square 234: aligned, part of a corner structure, θ = 0.0000° square 235: aligned, part of a corner structure, θ = 0.0000° square 236: aligned, part of a corner structure, θ = 0.0000° square 237: aligned, part of a corner structure, θ = 0.0000° square 238: aligned, part of a corner structure, θ = 0.0000° square 239: aligned, part of a corner structure, θ = 0.0000° square 240: aligned, part of a corner structure, θ = 0.0000° square 241: aligned, part of a corner structure, θ = 0.0000° square 242: aligned, part of a corner structure, θ = 0.0000° square 243: aligned, part of a corner structure, θ = 0.0000° square 244: aligned, part of a corner structure, θ = 0.0000° square 245: aligned, part of a corner structure, θ = 0.0000° square 246: aligned, part of a corner structure, θ = 0.0000° square 247: aligned, part of a corner structure, θ = 0.0000° square 248: aligned, part of a corner structure, θ = 0.0000° square 249: aligned, part of a corner structure, θ = 0.0000° square 250: aligned, part of a corner structure, θ = 0.0000° square 251: aligned, part of a corner structure, θ = 0.0000° square 252: aligned, part of a corner structure, θ = 0.0000° square 253: aligned, part of a corner structure, θ = 0.0000° square 254: aligned, part of a corner structure, θ = 0.0000° square 255: aligned, part of a corner structure, θ = 0.0000° square 256: aligned, part of a corner structure, θ = 0.0000° square 257: aligned, part of a corner structure, θ = 0.0000° square 258: aligned, part of a corner structure, θ = 0.0000° square 259: aligned, part of a corner structure, θ = 0.0000° square 260: tilted, θ = 45.1320° square 261: aligned, part of a corner structure, θ = 0.0000° square 262: aligned, part of a corner structure, θ = 0.0000° square 263: aligned, part of a corner structure, θ = 0.0000° square 264: aligned, part of a corner structure, θ = 0.0000° square 265: aligned, part of a corner structure, θ = 0.0000° square 266: aligned, part of a corner structure, θ = 0.0000° square 267: aligned, part of a corner structure, θ = 0.0000° square 268: aligned, part of a corner structure, θ = 0.0000° square 269: aligned, part of a corner structure, θ = 0.0000° square 270: aligned, part of a corner structure, θ = 0.0000° square 271: aligned, part of a corner structure, θ = 0.0000° square 272: aligned, part of a corner structure, θ = 0.0000° square 273: aligned, part of a corner structure, θ = 0.0000° square 274: aligned, part of a corner structure, θ = 0.0000° square 275: aligned, part of a corner structure, θ = 0.0000° square 276: aligned, part of a corner structure, θ = 0.0000° square 277: aligned, part of a corner structure, θ = 0.0000° square 278: aligned, part of a corner structure, θ = 0.0000° square 279: aligned, part of a corner structure, θ = 0.0000° square 280: aligned, part of a corner structure, θ = 0.0000° square 281: aligned, part of a corner structure, θ = 0.0000° square 282: aligned, part of a corner structure, θ = 0.0000° square 283: aligned, part of a corner structure, θ = 0.0000° square 284: aligned, part of a corner structure, θ = 0.0000° square 285: aligned, part of a corner structure, θ = 0.0000° square 286: aligned, part of a corner structure, θ = 0.0000° square 287: aligned, part of a corner structure, θ = 0.0000° square 288: aligned, part of a corner structure, θ = 0.0000° square 289: aligned, part of a corner structure, θ = 0.0000° square 290: aligned, part of a corner structure, θ = 0.0000° square 291: aligned, part of a corner structure, θ = 0.0000° square 292: aligned, part of a corner structure, θ = 0.0000° square 293: aligned, part of a corner structure, θ = 0.0000° square 294: aligned, part of a corner structure, θ = 0.0000° square 295: aligned, part of a corner structure, θ = 0.0000° square 296: aligned, part of a corner structure, θ = 0.0000° square 297: aligned, part of a corner structure, θ = 0.0000° square 298: aligned, part of a corner structure, θ = 0.0000° square 299: aligned, part of a corner structure, θ = 0.0000° square 300: tilted, θ = 49.0619° square 301: aligned, elsewhere, θ = 0.0000° square 302: tilted, θ = 45.1320° previous bests = 17.913065463 244 corner-structure · 4 other aligned · 55 tilted square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, elsewhere, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, elsewhere, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, elsewhere, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: tilted, θ = 66.8901° square 17: tilted, θ = 66.8901° square 18: tilted, θ = 65.4351° square 19: tilted, θ = 66.8901° square 20: tilted, θ = 66.8799° square 21: tilted, θ = 66.8799° square 22: tilted, θ = 64.1059° square 23: tilted, θ = 66.8901° square 24: tilted, θ = 66.5682° square 25: tilted, θ = 64.9554° square 26: tilted, θ = 66.8901° square 27: tilted, θ = 66.7466° square 28: tilted, θ = 67.4804° square 29: tilted, θ = 66.8799° square 30: tilted, θ = 64.9425° square 31: tilted, θ = 66.0525° square 32: tilted, θ = 66.1341° square 33: tilted, θ = 64.1008° square 34: tilted, θ = 66.8799° square 35: tilted, θ = 66.8901° square 36: tilted, θ = 66.8799° square 37: tilted, θ = 66.8901° square 38: tilted, θ = 64.9425° square 39: tilted, θ = 64.9624° square 40: tilted, θ = 66.8799° square 41: tilted, θ = 66.8901° square 42: tilted, θ = 65.8557° square 43: tilted, θ = 64.9425° square 44: tilted, θ = 66.1466° square 45: tilted, θ = 64.1059° square 46: tilted, θ = 66.8901° square 47: tilted, θ = 66.8799° square 48: tilted, θ = 66.0510° square 49: tilted, θ = 64.9425° square 50: tilted, θ = 66.8799° square 51: tilted, θ = 66.8799° square 52: tilted, θ = 66.5675° square 53: tilted, θ = 65.8558° square 54: tilted, θ = 65.4351° square 55: tilted, θ = 66.8799° square 56: tilted, θ = 66.8901° square 57: tilted, θ = 67.6839° square 58: tilted, θ = 66.7529° square 59: tilted, θ = 64.1008° square 60: tilted, θ = 66.8901° square 61: tilted, θ = 66.8799° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, elsewhere, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, elsewhere, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, elsewhere, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: tilted, θ = 23.1099° square 79: tilted, θ = 23.1099° square 80: tilted, θ = 24.5649° square 81: tilted, θ = 23.1099° square 82: tilted, θ = 23.1201° square 83: tilted, θ = 23.1201° square 84: tilted, θ = 25.8941° square 85: tilted, θ = 23.1099° square 86: tilted, θ = 23.4318° square 87: tilted, θ = 25.0446° square 88: tilted, θ = 23.1099° square 89: tilted, θ = 23.2534° square 90: tilted, θ = 22.5197° square 91: tilted, θ = 23.1201° square 92: tilted, θ = 25.0575° square 93: tilted, θ = 23.9475° square 94: tilted, θ = 23.8659° square 95: tilted, θ = 25.8992° square 96: tilted, θ = 23.1201° square 97: tilted, θ = 23.1099° square 98: tilted, θ = 23.1201° square 99: tilted, θ = 23.1099° square 100: tilted, θ = 25.0575° square 101: tilted, θ = 25.0376° square 102: tilted, θ = 23.1201° square 103: tilted, θ = 23.1099° square 104: tilted, θ = 24.1443° square 105: tilted, θ = 25.0575° square 106: tilted, θ = 23.8534° square 107: tilted, θ = 25.8941° square 108: tilted, θ = 23.1099° square 109: tilted, θ = 23.1201° square 110: tilted, θ = 23.9490° square 111: tilted, θ = 25.0575° square 112: tilted, θ = 23.1201° square 113: tilted, θ = 23.1201° square 114: tilted, θ = 23.4325° square 115: tilted, θ = 24.1442° square 116: tilted, θ = 24.5649° square 117: tilted, θ = 23.1201° square 118: tilted, θ = 23.1099° square 119: tilted, θ = 22.3161° square 120: tilted, θ = 23.2471° square 121: tilted, θ = 25.8992° square 122: tilted, θ = 23.1099° square 123: tilted, θ = 23.1201° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: aligned, part of a corner structure, θ = 0.0000° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: aligned, part of a corner structure, θ = 0.0000° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: aligned, part of a corner structure, θ = 0.0000° square 211: aligned, part of a corner structure, θ = 0.0000° square 212: aligned, part of a corner structure, θ = 0.0000° square 213: aligned, part of a corner structure, θ = 0.0000° square 214: aligned, part of a corner structure, θ = 0.0000° square 215: aligned, part of a corner structure, θ = 0.0000° square 216: aligned, part of a corner structure, θ = 0.0000° square 217: aligned, part of a corner structure, θ = 0.0000° square 218: aligned, part of a corner structure, θ = 0.0000° square 219: aligned, part of a corner structure, θ = 0.0000° square 220: aligned, part of a corner structure, θ = 0.0000° square 221: aligned, part of a corner structure, θ = 0.0000° square 222: aligned, part of a corner structure, θ = 0.0000° square 223: aligned, part of a corner structure, θ = 0.0000° square 224: aligned, part of a corner structure, θ = 0.0000° square 225: aligned, part of a corner structure, θ = 0.0000° square 226: aligned, part of a corner structure, θ = 0.0000° square 227: aligned, part of a corner structure, θ = 0.0000° square 228: aligned, part of a corner structure, θ = 0.0000° square 229: aligned, part of a corner structure, θ = 0.0000° square 230: aligned, part of a corner structure, θ = 0.0000° square 231: aligned, part of a corner structure, θ = 0.0000° square 232: aligned, part of a corner structure, θ = 0.0000° square 233: aligned, part of a corner structure, θ = 0.0000° square 234: aligned, part of a corner structure, θ = 0.0000° square 235: aligned, part of a corner structure, θ = 0.0000° square 236: aligned, part of a corner structure, θ = 0.0000° square 237: aligned, part of a corner structure, θ = 0.0000° square 238: aligned, part of a corner structure, θ = 0.0000° square 239: aligned, part of a corner structure, θ = 0.0000° square 240: aligned, part of a corner structure, θ = 0.0000° square 241: aligned, part of a corner structure, θ = 0.0000° square 242: aligned, part of a corner structure, θ = 0.0000° square 243: aligned, part of a corner structure, θ = 0.0000° square 244: aligned, part of a corner structure, θ = 0.0000° square 245: aligned, part of a corner structure, θ = 0.0000° square 246: aligned, part of a corner structure, θ = 0.0000° square 247: aligned, part of a corner structure, θ = 0.0000° square 248: aligned, part of a corner structure, θ = 0.0000° square 249: aligned, part of a corner structure, θ = 0.0000° square 250: aligned, part of a corner structure, θ = 0.0000° square 251: aligned, part of a corner structure, θ = 0.0000° square 252: aligned, part of a corner structure, θ = 0.0000° square 253: aligned, part of a corner structure, θ = 0.0000° square 254: aligned, part of a corner structure, θ = 0.0000° square 255: aligned, part of a corner structure, θ = 0.0000° square 256: aligned, part of a corner structure, θ = 0.0000° square 257: aligned, part of a corner structure, θ = 0.0000° square 258: aligned, part of a corner structure, θ = 0.0000° square 259: aligned, part of a corner structure, θ = 0.0000° square 260: aligned, part of a corner structure, θ = 0.0000° square 261: aligned, part of a corner structure, θ = 0.0000° square 262: aligned, part of a corner structure, θ = 0.0000° square 263: aligned, part of a corner structure, θ = 0.0000° square 264: aligned, part of a corner structure, θ = 0.0000° square 265: aligned, part of a corner structure, θ = 0.0000° square 266: aligned, part of a corner structure, θ = 0.0000° square 267: aligned, part of a corner structure, θ = 0.0000° square 268: aligned, part of a corner structure, θ = 0.0000° square 269: aligned, part of a corner structure, θ = 0.0000° square 270: aligned, part of a corner structure, θ = 0.0000° square 271: aligned, part of a corner structure, θ = 0.0000° square 272: aligned, part of a corner structure, θ = 0.0000° square 273: aligned, part of a corner structure, θ = 0.0000° square 274: aligned, part of a corner structure, θ = 0.0000° square 275: aligned, part of a corner structure, θ = 0.0000° square 276: aligned, part of a corner structure, θ = 0.0000° square 277: aligned, part of a corner structure, θ = 0.0000° square 278: aligned, part of a corner structure, θ = 0.0000° square 279: aligned, part of a corner structure, θ = 0.0000° square 280: aligned, part of a corner structure, θ = 0.0000° square 281: aligned, part of a corner structure, θ = 0.0000° square 282: aligned, part of a corner structure, θ = 0.0000° square 283: aligned, part of a corner structure, θ = 0.0000° square 284: aligned, part of a corner structure, θ = 0.0000° square 285: aligned, part of a corner structure, θ = 0.0000° square 286: aligned, part of a corner structure, θ = 0.0000° square 287: aligned, part of a corner structure, θ = 0.0000° square 288: aligned, part of a corner structure, θ = 0.0000° square 289: aligned, part of a corner structure, θ = 0.0000° square 290: aligned, part of a corner structure, θ = 0.0000° square 291: aligned, part of a corner structure, θ = 0.0000° square 292: aligned, part of a corner structure, θ = 0.0000° square 293: aligned, part of a corner structure, θ = 0.0000° square 294: aligned, part of a corner structure, θ = 0.0000° square 295: aligned, part of a corner structure, θ = 0.0000° square 296: aligned, part of a corner structure, θ = 0.0000° square 297: aligned, part of a corner structure, θ = 0.0000° square 298: aligned, part of a corner structure, θ = 0.0000° square 299: aligned, part of a corner structure, θ = 0.0000° square 300: aligned, part of a corner structure, θ = 0.0000° square 301: aligned, part of a corner structure, θ = 0.0000° square 302: aligned, part of a corner structure, θ = 0.0000° ourss = 17.909958291 205 corner-structure · 6 other aligned · 92 tilted dashed outline: the new 62-square block, other squares of ours faded · scroll to zoom · drag to pan · double-click to reset (both panels move together)
n = 129
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: tilted, θ = 39.4094° square 12: tilted, θ = 39.4094° square 13: tilted, θ = 39.4094° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: tilted, θ = 39.4094° square 23: tilted, θ = 39.4094° square 24: tilted, θ = 39.4094° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: tilted, θ = 39.4094° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: tilted, θ = 39.4094° square 47: tilted, θ = 39.4094° square 48: tilted, θ = 46.0054° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: tilted, θ = 39.4094° square 59: tilted, θ = 46.0054° square 60: tilted, θ = 50.5906° square 61: tilted, θ = 50.5906° square 62: tilted, θ = 50.5906° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, elsewhere, θ = 0.0000° square 70: tilted, θ = 50.5906° square 71: tilted, θ = 50.5906° square 72: tilted, θ = 50.5906° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, elsewhere, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: tilted, θ = 50.5906° square 84: tilted, θ = 50.5906° square 85: tilted, θ = 50.5906° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, elsewhere, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: tilted, θ = 50.5906° square 96: tilted, θ = 50.5906° square 97: tilted, θ = 50.5906° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, elsewhere, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: tilted, θ = 50.5906° square 108: tilted, θ = 50.5906° square 109: aligned, elsewhere, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, elsewhere, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: tilted, θ = 50.5906° square 120: aligned, elsewhere, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, elsewhere, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, elsewhere, θ = 0.0000° previous bests = 11.872029849 93 corner-structure · 9 other aligned · 27 tilted square 0: tilted, θ = 51.0250° square 1: aligned, part of a corner structure, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, part of a corner structure, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: aligned, part of a corner structure, θ = 0.0000° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: tilted, θ = 44.0081° square 23: tilted, θ = 38.4973° square 24: tilted, θ = 38.4942° square 25: tilted, θ = 38.4039° square 26: tilted, θ = 38.9301° square 27: tilted, θ = 39.2358° square 28: tilted, θ = 43.9981° square 29: tilted, θ = 38.2246° square 30: tilted, θ = 39.2710° square 31: tilted, θ = 39.2574° square 32: tilted, θ = 38.9324° square 33: tilted, θ = 39.1338° square 34: tilted, θ = 51.0073° square 35: tilted, θ = 50.9098° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: tilted, θ = 50.9098° square 40: tilted, θ = 50.9098° square 41: tilted, θ = 50.9098° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: aligned, part of a corner structure, θ = 0.0000° square 45: tilted, θ = 50.9098° square 46: tilted, θ = 50.9106° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: tilted, θ = 50.9098° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: tilted, θ = 50.9098° square 54: tilted, θ = 50.9685° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: tilted, θ = 51.0055° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 90.0000° square 90: tilted, θ = 50.9732° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: tilted, θ = 51.0239° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: tilted, θ = 50.9098° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: tilted, θ = 50.9983° square 128: tilted, θ = 50.9676° ourss = 11.870013850 100 corner-structure · 0 other aligned · 29 tilted
One more step helped where two pieces meet. The exact optimisation keeps the composer's arrangement, so the
squares around the junction of the two pieces never get to rearrange. We re-hardened our 176 on the GPU
with every square soft and the box held. The two pieces' tilted half-bands then merged through the middle
into a single V of 63 tilted squares. A few squares at the junction tilt and bridge one band into the
other, and the two arms settle at nearly the same angle. The side fell from 13.8087 to 13.7959, 1.2e−2
below Francisco Couzo's 13.8076. The composite has turned into a V-band packing, the same class as 155,
156 and 211. The same move did nothing for composites made of two identical pieces (175, 204, 303). It
seems to need a piece that does not set the side, so that it has room to re-tilt.
n = 176
square 0: aligned, part of a corner structure, θ = 0.0000° square 1: aligned, elsewhere, θ = 0.0000° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: aligned, part of a corner structure, θ = 0.0000° square 4: aligned, part of a corner structure, θ = 0.0000° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: aligned, part of a corner structure, θ = 0.0000° square 7: tilted, θ = 63.4433° square 8: tilted, θ = 63.5669° square 9: tilted, θ = 63.5794° square 10: aligned, elsewhere, θ = 89.9919° square 11: aligned, part of a corner structure, θ = 0.0000° square 12: aligned, elsewhere, θ = 0.0000° square 13: aligned, part of a corner structure, θ = 89.9927° square 14: aligned, part of a corner structure, θ = 0.0078° square 15: aligned, part of a corner structure, θ = 89.9956° square 16: aligned, part of a corner structure, θ = 89.9839° square 17: tilted, θ = 63.2117° square 18: tilted, θ = 63.2117° square 19: tilted, θ = 63.5669° square 20: tilted, θ = 63.5669° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: aligned, elsewhere, θ = 0.0000° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: tilted, θ = 63.2117° square 27: tilted, θ = 63.5130° square 28: tilted, θ = 63.2117° square 29: tilted, θ = 63.5669° square 30: aligned, part of a corner structure, θ = 0.0000° square 31: aligned, elsewhere, θ = 0.0000° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, elsewhere, θ = 0.0000° square 36: tilted, θ = 63.5669° square 37: tilted, θ = 63.5669° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, elsewhere, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: aligned, part of a corner structure, θ = 0.0000° square 43: aligned, elsewhere, θ = 0.0000° square 44: aligned, elsewhere, θ = 0.0000° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, elsewhere, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, elsewhere, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: tilted, θ = 87.9052° square 53: aligned, elsewhere, θ = 0.4798° square 54: aligned, elsewhere, θ = 89.9669° square 55: aligned, elsewhere, θ = 89.9699° square 56: aligned, elsewhere, θ = 89.5566° square 57: tilted, θ = 65.1584° square 58: tilted, θ = 65.1495° square 59: tilted, θ = 65.1436° square 60: tilted, θ = 65.2071° square 61: tilted, θ = 64.9783° square 62: tilted, θ = 63.8438° square 63: tilted, θ = 88.2821° square 64: tilted, θ = 65.0214° square 65: tilted, θ = 62.0460° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, elsewhere, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 89.9943° square 79: aligned, part of a corner structure, θ = 89.9943° square 80: aligned, part of a corner structure, θ = 89.9943° square 81: aligned, part of a corner structure, θ = 0.0068° square 82: aligned, part of a corner structure, θ = 0.0078° square 83: aligned, part of a corner structure, θ = 0.0066° square 84: aligned, part of a corner structure, θ = 0.0116° square 85: aligned, part of a corner structure, θ = 0.0115° square 86: aligned, part of a corner structure, θ = 0.0100° square 87: tilted, θ = 62.4908° square 88: tilted, θ = 62.4908° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: tilted, θ = 63.5669° square 98: tilted, θ = 63.5669° square 99: aligned, part of a corner structure, θ = 89.9987° square 100: aligned, part of a corner structure, θ = 0.0010° square 101: aligned, part of a corner structure, θ = 89.9865° square 102: aligned, part of a corner structure, θ = 89.9781° square 103: aligned, part of a corner structure, θ = 89.9748° square 104: aligned, part of a corner structure, θ = 89.9744° square 105: aligned, part of a corner structure, θ = 89.9738° square 106: aligned, part of a corner structure, θ = 89.9745° square 107: tilted, θ = 62.4562° square 108: aligned, part of a corner structure, θ = 0.0026° square 109: aligned, part of a corner structure, θ = 0.0106° square 110: aligned, part of a corner structure, θ = 89.9890° square 111: aligned, part of a corner structure, θ = 89.9771° square 112: aligned, part of a corner structure, θ = 89.9721° square 113: aligned, part of a corner structure, θ = 89.9702° square 114: aligned, part of a corner structure, θ = 89.9705° square 115: aligned, elsewhere, θ = 89.9912° square 116: aligned, part of a corner structure, θ = 0.0024° square 117: aligned, part of a corner structure, θ = 0.0124° square 118: aligned, part of a corner structure, θ = 0.0083° square 119: aligned, part of a corner structure, θ = 89.9959° square 120: aligned, part of a corner structure, θ = 89.9835° square 121: aligned, part of a corner structure, θ = 89.9842° square 122: aligned, part of a corner structure, θ = 89.9859° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 89.9863° square 135: aligned, part of a corner structure, θ = 89.9550° square 136: aligned, elsewhere, θ = 89.9884° square 137: tilted, θ = 63.4203° square 138: aligned, part of a corner structure, θ = 89.9880° square 139: tilted, θ = 62.3889° square 140: tilted, θ = 63.4047° square 141: aligned, part of a corner structure, θ = 89.9907° square 142: tilted, θ = 62.3646° square 143: aligned, part of a corner structure, θ = 89.9868° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0041° square 147: aligned, part of a corner structure, θ = 0.0083° square 148: tilted, θ = 63.5669° square 149: tilted, θ = 63.3450° square 150: tilted, θ = 63.5669° square 151: tilted, θ = 63.5669° square 152: tilted, θ = 63.5669° square 153: tilted, θ = 63.5669° square 154: tilted, θ = 63.5669° square 155: tilted, θ = 63.5669° square 156: tilted, θ = 63.5669° square 157: tilted, θ = 63.6041° square 158: aligned, elsewhere, θ = 89.9058° square 159: aligned, elsewhere, θ = 89.9923° square 160: aligned, elsewhere, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, elsewhere, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, elsewhere, θ = 89.9752° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: tilted, θ = 63.8344° square 167: tilted, θ = 63.6874° square 168: tilted, θ = 63.6835° square 169: tilted, θ = 63.6674° square 170: tilted, θ = 63.6557° square 171: tilted, θ = 63.2751° square 172: tilted, θ = 62.0461° square 173: tilted, θ = 62.0429° square 174: tilted, θ = 62.0270° square 175: tilted, θ = 62.0241° previous bests = 13.807637227 101 corner-structure · 23 other aligned · 52 tilted square 0: tilted, θ = 63.5744° square 1: tilted, θ = 63.5744° square 2: aligned, part of a corner structure, θ = 0.0000° square 3: tilted, θ = 64.2859° square 4: tilted, θ = 64.2859° square 5: tilted, θ = 64.2859° square 6: tilted, θ = 64.2859° square 7: aligned, part of a corner structure, θ = 0.0000° square 8: aligned, part of a corner structure, θ = 0.0000° square 9: aligned, part of a corner structure, θ = 0.0000° square 10: aligned, part of a corner structure, θ = 0.0000° square 11: tilted, θ = 60.1938° square 12: tilted, θ = 68.0396° square 13: aligned, part of a corner structure, θ = 0.0000° square 14: tilted, θ = 63.2351° square 15: aligned, part of a corner structure, θ = 0.0000° square 16: aligned, part of a corner structure, θ = 0.0000° square 17: aligned, part of a corner structure, θ = 0.0000° square 18: aligned, part of a corner structure, θ = 0.0000° square 19: aligned, part of a corner structure, θ = 0.0000° square 20: aligned, part of a corner structure, θ = 0.0000° square 21: aligned, part of a corner structure, θ = 0.0000° square 22: tilted, θ = 63.1189° square 23: tilted, θ = 63.0529° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: tilted, θ = 63.0212° square 26: tilted, θ = 63.0976° square 27: tilted, θ = 63.0529° square 28: tilted, θ = 62.5174° square 29: tilted, θ = 63.1189° square 30: tilted, θ = 63.0529° square 31: aligned, part of a corner structure, θ = 0.0000° square 32: tilted, θ = 63.2803° square 33: tilted, θ = 62.1698° square 34: tilted, θ = 63.0529° square 35: tilted, θ = 63.0212° square 36: tilted, θ = 63.0529° square 37: tilted, θ = 63.1189° square 38: tilted, θ = 63.1189° square 39: tilted, θ = 63.0529° square 40: tilted, θ = 62.5171° square 41: tilted, θ = 63.0864° square 42: tilted, θ = 63.0529° square 43: aligned, part of a corner structure, θ = 0.0000° square 44: tilted, θ = 63.4100° square 45: aligned, part of a corner structure, θ = 0.0000° square 46: aligned, part of a corner structure, θ = 0.0000° square 47: aligned, part of a corner structure, θ = 0.0000° square 48: aligned, part of a corner structure, θ = 0.0000° square 49: aligned, part of a corner structure, θ = 0.0000° square 50: aligned, part of a corner structure, θ = 0.0000° square 51: aligned, part of a corner structure, θ = 0.0000° square 52: aligned, part of a corner structure, θ = 0.0000° square 53: aligned, part of a corner structure, θ = 0.0000° square 54: aligned, part of a corner structure, θ = 0.0000° square 55: aligned, part of a corner structure, θ = 0.0000° square 56: aligned, part of a corner structure, θ = 0.0000° square 57: aligned, part of a corner structure, θ = 0.0000° square 58: aligned, part of a corner structure, θ = 0.0000° square 59: aligned, part of a corner structure, θ = 0.0000° square 60: aligned, part of a corner structure, θ = 0.0000° square 61: aligned, part of a corner structure, θ = 0.0000° square 62: aligned, part of a corner structure, θ = 0.0000° square 63: aligned, part of a corner structure, θ = 0.0000° square 64: aligned, part of a corner structure, θ = 0.0000° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: aligned, part of a corner structure, θ = 0.0000° square 67: aligned, part of a corner structure, θ = 0.0000° square 68: aligned, part of a corner structure, θ = 0.0000° square 69: aligned, part of a corner structure, θ = 0.0000° square 70: aligned, part of a corner structure, θ = 0.0000° square 71: aligned, part of a corner structure, θ = 0.0000° square 72: aligned, part of a corner structure, θ = 0.0000° square 73: aligned, part of a corner structure, θ = 0.0000° square 74: aligned, part of a corner structure, θ = 0.0000° square 75: aligned, part of a corner structure, θ = 0.0000° square 76: aligned, part of a corner structure, θ = 0.0000° square 77: aligned, part of a corner structure, θ = 0.0000° square 78: aligned, part of a corner structure, θ = 0.0000° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: aligned, part of a corner structure, θ = 0.0000° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: aligned, part of a corner structure, θ = 0.0000° square 85: aligned, part of a corner structure, θ = 0.0000° square 86: aligned, part of a corner structure, θ = 0.0000° square 87: aligned, part of a corner structure, θ = 0.0000° square 88: aligned, part of a corner structure, θ = 0.0000° square 89: aligned, part of a corner structure, θ = 0.0000° square 90: aligned, part of a corner structure, θ = 0.0000° square 91: aligned, part of a corner structure, θ = 0.0000° square 92: aligned, part of a corner structure, θ = 0.0000° square 93: aligned, part of a corner structure, θ = 0.0000° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: tilted, θ = 64.2859° square 103: aligned, elsewhere, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: tilted, θ = 64.2859° square 107: tilted, θ = 68.0396° square 108: tilted, θ = 64.2859° square 109: tilted, θ = 70.4759° square 110: tilted, θ = 63.8183° square 111: tilted, θ = 64.2859° square 112: tilted, θ = 68.0396° square 113: tilted, θ = 64.2859° square 114: tilted, θ = 64.2859° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: tilted, θ = 64.2859° square 117: tilted, θ = 64.2859° square 118: tilted, θ = 63.2012° square 119: tilted, θ = 68.0396° square 120: tilted, θ = 60.5205° square 121: tilted, θ = 63.7441° square 122: tilted, θ = 68.0396° square 123: tilted, θ = 64.2859° square 124: tilted, θ = 70.4759° square 125: tilted, θ = 63.0864° square 126: tilted, θ = 63.0864° square 127: tilted, θ = 63.0864° square 128: tilted, θ = 63.1189° square 129: tilted, θ = 63.0864° square 130: tilted, θ = 63.0864° square 131: tilted, θ = 63.0738° square 132: tilted, θ = 63.0864° square 133: tilted, θ = 63.0864° square 134: tilted, θ = 63.0991° square 135: tilted, θ = 63.0864° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: tilted, θ = 63.0864° square 138: tilted, θ = 63.1189° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: tilted, θ = 70.4759° square 157: tilted, θ = 70.4759° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: tilted, θ = 88.1713° square 162: aligned, elsewhere, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: tilted, θ = 88.1713° square 167: aligned, elsewhere, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° ourss = 13.795872318 108 corner-structure · 3 other aligned · 65 tilted
The same move works on published packings whose tilted squares form two separate bands. Joost de Winter's 211
(in Evan Daniel's exact form) has bands of 48 and 25 squares. Re-hardened the same way, they merged into one
V of 76, at 14.99369. That is 4.3e−3 below the previous record and 2.6e−3 below our band-construction 211.
n = 211
square 0: tilted, θ = 71.6563° square 1: tilted, θ = 71.6563° square 2: tilted, θ = 71.6563° square 3: tilted, θ = 71.6563° square 4: tilted, θ = 71.6563° square 5: tilted, θ = 71.6563° square 6: tilted, θ = 71.6563° square 7: tilted, θ = 71.6563° square 8: tilted, θ = 71.6563° square 9: tilted, θ = 71.6563° square 10: tilted, θ = 71.6563° square 11: tilted, θ = 71.5670° square 12: tilted, θ = 71.4754° square 13: tilted, θ = 70.8074° square 14: tilted, θ = 70.8074° square 15: tilted, θ = 70.9332° square 16: tilted, θ = 70.9332° square 17: tilted, θ = 71.5670° square 18: tilted, θ = 71.3274° square 19: tilted, θ = 71.3274° square 20: tilted, θ = 70.8074° square 21: tilted, θ = 70.9332° square 22: tilted, θ = 71.3274° square 23: tilted, θ = 71.6563° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: aligned, elsewhere, θ = 0.0000° square 31: aligned, elsewhere, θ = 89.9988° square 32: tilted, θ = 86.4492° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: tilted, θ = 71.6563° square 42: tilted, θ = 71.6563° square 43: tilted, θ = 71.6563° square 44: tilted, θ = 71.6563° square 45: tilted, θ = 71.6563° square 46: tilted, θ = 71.6563° square 47: tilted, θ = 71.5371° square 48: tilted, θ = 71.5371° square 49: tilted, θ = 71.5371° square 50: tilted, θ = 71.5371° square 51: tilted, θ = 71.5371° square 52: tilted, θ = 71.5371° square 53: tilted, θ = 71.5371° square 54: tilted, θ = 71.5371° square 55: tilted, θ = 71.5371° square 56: tilted, θ = 69.9411° square 57: tilted, θ = 69.9411° square 58: tilted, θ = 69.9411° square 59: tilted, θ = 69.9411° square 60: tilted, θ = 69.9411° square 61: tilted, θ = 71.5371° square 62: tilted, θ = 68.3206° square 63: tilted, θ = 61.8510° square 64: tilted, θ = 86.9929° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: tilted, θ = 86.9929° square 67: tilted, θ = 62.2212° square 68: tilted, θ = 86.9929° square 69: tilted, θ = 62.2212° square 70: tilted, θ = 64.7073° square 71: tilted, θ = 64.7073° square 72: tilted, θ = 62.2457° square 73: tilted, θ = 64.7073° square 74: tilted, θ = 62.2457° square 75: tilted, θ = 62.2457° square 76: tilted, θ = 61.1369° square 77: tilted, θ = 62.2457° square 78: tilted, θ = 62.2457° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: tilted, θ = 61.3020° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: tilted, θ = 61.3020° square 85: tilted, θ = 66.2123° square 86: tilted, θ = 66.2123° square 87: tilted, θ = 64.0592° square 88: tilted, θ = 66.2123° square 89: tilted, θ = 64.0592° square 90: tilted, θ = 64.0592° square 91: tilted, θ = 62.2457° square 92: tilted, θ = 64.0592° square 93: tilted, θ = 62.2457° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: aligned, part of a corner structure, θ = 0.0000° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: aligned, part of a corner structure, θ = 0.0000° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: aligned, part of a corner structure, θ = 0.0000° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: aligned, part of a corner structure, θ = 0.0000° square 206: aligned, part of a corner structure, θ = 0.0000° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: aligned, part of a corner structure, θ = 0.0000° square 209: aligned, part of a corner structure, θ = 0.0000° square 210: aligned, part of a corner structure, θ = 0.0000° previous bests = 14.997960705 136 corner-structure · 2 other aligned · 73 tilted square 0: aligned, elsewhere, θ = 0.0000° square 1: tilted, θ = 67.7770° square 2: tilted, θ = 67.7770° square 3: tilted, θ = 67.7770° square 4: tilted, θ = 67.8043° square 5: aligned, part of a corner structure, θ = 0.0000° square 6: tilted, θ = 70.5562° square 7: tilted, θ = 67.7770° square 8: tilted, θ = 67.7770° square 9: tilted, θ = 67.7770° square 10: tilted, θ = 67.7770° square 11: tilted, θ = 70.5562° square 12: tilted, θ = 67.7770° square 13: tilted, θ = 67.7770° square 14: tilted, θ = 67.7770° square 15: tilted, θ = 66.0383° square 16: tilted, θ = 66.0685° square 17: tilted, θ = 69.4540° square 18: tilted, θ = 66.0522° square 19: tilted, θ = 66.0383° square 20: tilted, θ = 67.7770° square 21: tilted, θ = 66.0648° square 22: tilted, θ = 66.0383° square 23: aligned, part of a corner structure, θ = 0.0000° square 24: aligned, part of a corner structure, θ = 0.0000° square 25: aligned, part of a corner structure, θ = 0.0000° square 26: aligned, part of a corner structure, θ = 0.0000° square 27: aligned, part of a corner structure, θ = 0.0000° square 28: aligned, part of a corner structure, θ = 0.0000° square 29: aligned, part of a corner structure, θ = 0.0000° square 30: tilted, θ = 66.0383° square 31: tilted, θ = 65.8926° square 32: aligned, part of a corner structure, θ = 0.0000° square 33: aligned, part of a corner structure, θ = 0.0000° square 34: aligned, part of a corner structure, θ = 0.0000° square 35: aligned, part of a corner structure, θ = 0.0000° square 36: aligned, part of a corner structure, θ = 0.0000° square 37: aligned, part of a corner structure, θ = 0.0000° square 38: aligned, part of a corner structure, θ = 0.0000° square 39: aligned, part of a corner structure, θ = 0.0000° square 40: aligned, part of a corner structure, θ = 0.0000° square 41: aligned, part of a corner structure, θ = 0.0000° square 42: tilted, θ = 67.7770° square 43: tilted, θ = 67.7770° square 44: tilted, θ = 67.7770° square 45: tilted, θ = 67.7770° square 46: aligned, elsewhere, θ = 0.0000° square 47: tilted, θ = 68.1852° square 48: tilted, θ = 67.7770° square 49: tilted, θ = 67.7770° square 50: tilted, θ = 67.4338° square 51: tilted, θ = 66.3101° square 52: tilted, θ = 68.1852° square 53: tilted, θ = 67.7757° square 54: tilted, θ = 67.6374° square 55: tilted, θ = 66.5432° square 56: tilted, θ = 67.7891° square 57: tilted, θ = 67.7891° square 58: tilted, θ = 67.1869° square 59: tilted, θ = 66.3945° square 60: tilted, θ = 65.9411° square 61: tilted, θ = 66.5432° square 62: tilted, θ = 64.5885° square 63: tilted, θ = 63.9532° square 64: tilted, θ = 66.0383° square 65: aligned, part of a corner structure, θ = 0.0000° square 66: tilted, θ = 66.0383° square 67: tilted, θ = 66.0383° square 68: tilted, θ = 66.0383° square 69: tilted, θ = 66.0383° square 70: tilted, θ = 66.0383° square 71: tilted, θ = 64.7419° square 72: tilted, θ = 66.0383° square 73: tilted, θ = 64.9033° square 74: tilted, θ = 64.7419° square 75: tilted, θ = 64.7498° square 76: tilted, θ = 64.7498° square 77: tilted, θ = 64.7264° square 78: tilted, θ = 64.7498° square 79: aligned, part of a corner structure, θ = 0.0000° square 80: aligned, part of a corner structure, θ = 0.0000° square 81: aligned, part of a corner structure, θ = 0.0000° square 82: tilted, θ = 64.7290° square 83: aligned, part of a corner structure, θ = 0.0000° square 84: tilted, θ = 64.7656° square 85: tilted, θ = 64.7290° square 86: tilted, θ = 64.7349° square 87: tilted, θ = 64.7349° square 88: tilted, θ = 64.6850° square 89: tilted, θ = 64.7349° square 90: tilted, θ = 64.7349° square 91: tilted, θ = 64.7498° square 92: tilted, θ = 64.7349° square 93: tilted, θ = 64.7498° square 94: aligned, part of a corner structure, θ = 0.0000° square 95: aligned, part of a corner structure, θ = 0.0000° square 96: aligned, part of a corner structure, θ = 0.0000° square 97: aligned, part of a corner structure, θ = 0.0000° square 98: aligned, part of a corner structure, θ = 0.0000° square 99: aligned, part of a corner structure, θ = 0.0000° square 100: aligned, part of a corner structure, θ = 0.0000° square 101: aligned, part of a corner structure, θ = 0.0000° square 102: aligned, part of a corner structure, θ = 0.0000° square 103: aligned, part of a corner structure, θ = 0.0000° square 104: tilted, θ = 66.0383° square 105: aligned, part of a corner structure, θ = 0.0000° square 106: aligned, part of a corner structure, θ = 0.0000° square 107: aligned, part of a corner structure, θ = 0.0000° square 108: aligned, part of a corner structure, θ = 0.0000° square 109: aligned, part of a corner structure, θ = 0.0000° square 110: aligned, part of a corner structure, θ = 0.0000° square 111: aligned, part of a corner structure, θ = 0.0000° square 112: aligned, part of a corner structure, θ = 0.0000° square 113: aligned, part of a corner structure, θ = 0.0000° square 114: aligned, part of a corner structure, θ = 0.0000° square 115: tilted, θ = 66.0383° square 116: aligned, part of a corner structure, θ = 0.0000° square 117: aligned, part of a corner structure, θ = 0.0000° square 118: aligned, part of a corner structure, θ = 0.0000° square 119: aligned, part of a corner structure, θ = 0.0000° square 120: aligned, part of a corner structure, θ = 0.0000° square 121: aligned, part of a corner structure, θ = 0.0000° square 122: aligned, part of a corner structure, θ = 0.0000° square 123: aligned, part of a corner structure, θ = 0.0000° square 124: aligned, part of a corner structure, θ = 0.0000° square 125: aligned, part of a corner structure, θ = 0.0000° square 126: tilted, θ = 66.9033° square 127: aligned, part of a corner structure, θ = 0.0000° square 128: aligned, part of a corner structure, θ = 0.0000° square 129: aligned, part of a corner structure, θ = 0.0000° square 130: aligned, part of a corner structure, θ = 0.0000° square 131: aligned, part of a corner structure, θ = 0.0000° square 132: aligned, part of a corner structure, θ = 0.0000° square 133: aligned, part of a corner structure, θ = 0.0000° square 134: aligned, part of a corner structure, θ = 0.0000° square 135: aligned, part of a corner structure, θ = 0.0000° square 136: aligned, part of a corner structure, θ = 0.0000° square 137: aligned, part of a corner structure, θ = 0.0000° square 138: aligned, part of a corner structure, θ = 0.0000° square 139: aligned, part of a corner structure, θ = 0.0000° square 140: aligned, part of a corner structure, θ = 0.0000° square 141: aligned, part of a corner structure, θ = 0.0000° square 142: aligned, part of a corner structure, θ = 0.0000° square 143: aligned, part of a corner structure, θ = 0.0000° square 144: aligned, part of a corner structure, θ = 0.0000° square 145: aligned, part of a corner structure, θ = 0.0000° square 146: aligned, part of a corner structure, θ = 0.0000° square 147: aligned, part of a corner structure, θ = 0.0000° square 148: aligned, part of a corner structure, θ = 0.0000° square 149: aligned, part of a corner structure, θ = 0.0000° square 150: aligned, part of a corner structure, θ = 0.0000° square 151: aligned, part of a corner structure, θ = 0.0000° square 152: aligned, part of a corner structure, θ = 0.0000° square 153: aligned, part of a corner structure, θ = 0.0000° square 154: aligned, part of a corner structure, θ = 0.0000° square 155: aligned, part of a corner structure, θ = 0.0000° square 156: aligned, part of a corner structure, θ = 0.0000° square 157: aligned, part of a corner structure, θ = 0.0000° square 158: aligned, part of a corner structure, θ = 0.0000° square 159: aligned, part of a corner structure, θ = 0.0000° square 160: aligned, part of a corner structure, θ = 0.0000° square 161: aligned, part of a corner structure, θ = 0.0000° square 162: aligned, part of a corner structure, θ = 0.0000° square 163: aligned, part of a corner structure, θ = 0.0000° square 164: aligned, part of a corner structure, θ = 0.0000° square 165: aligned, part of a corner structure, θ = 0.0000° square 166: aligned, part of a corner structure, θ = 0.0000° square 167: aligned, part of a corner structure, θ = 0.0000° square 168: aligned, part of a corner structure, θ = 0.0000° square 169: aligned, part of a corner structure, θ = 0.0000° square 170: aligned, part of a corner structure, θ = 0.0000° square 171: aligned, part of a corner structure, θ = 0.0000° square 172: aligned, part of a corner structure, θ = 0.0000° square 173: aligned, part of a corner structure, θ = 0.0000° square 174: aligned, part of a corner structure, θ = 0.0000° square 175: aligned, part of a corner structure, θ = 0.0000° square 176: aligned, part of a corner structure, θ = 0.0000° square 177: aligned, part of a corner structure, θ = 0.0000° square 178: aligned, part of a corner structure, θ = 0.0000° square 179: aligned, part of a corner structure, θ = 0.0000° square 180: aligned, part of a corner structure, θ = 0.0000° square 181: aligned, part of a corner structure, θ = 0.0000° square 182: aligned, part of a corner structure, θ = 0.0000° square 183: aligned, part of a corner structure, θ = 0.0000° square 184: aligned, part of a corner structure, θ = 0.0000° square 185: aligned, part of a corner structure, θ = 0.0000° square 186: aligned, part of a corner structure, θ = 0.0000° square 187: aligned, part of a corner structure, θ = 0.0000° square 188: aligned, part of a corner structure, θ = 0.0000° square 189: aligned, part of a corner structure, θ = 0.0000° square 190: aligned, part of a corner structure, θ = 0.0000° square 191: aligned, part of a corner structure, θ = 0.0000° square 192: aligned, part of a corner structure, θ = 0.0000° square 193: aligned, part of a corner structure, θ = 0.0000° square 194: aligned, part of a corner structure, θ = 0.0000° square 195: aligned, part of a corner structure, θ = 0.0000° square 196: aligned, part of a corner structure, θ = 0.0000° square 197: aligned, part of a corner structure, θ = 0.0000° square 198: aligned, part of a corner structure, θ = 0.0000° square 199: aligned, part of a corner structure, θ = 0.0000° square 200: aligned, part of a corner structure, θ = 0.0000° square 201: aligned, part of a corner structure, θ = 0.0000° square 202: aligned, part of a corner structure, θ = 0.0000° square 203: aligned, part of a corner structure, θ = 0.0000° square 204: aligned, part of a corner structure, θ = 0.0000° square 205: tilted, θ = 66.0383° square 206: tilted, θ = 66.0383° square 207: aligned, part of a corner structure, θ = 0.0000° square 208: tilted, θ = 66.0383° square 209: tilted, θ = 66.0383° square 210: aligned, part of a corner structure, θ = 0.0000° ourss = 14.993694187 133 corner-structure · 2 other aligned · 76 tilted The hard part: knowing it's actually a record
Along the way we independently found several packings that beat the registered values:
n = 84, 86, 105, 108, 127, 131 and 263. We polished published arrangements to their exact
local optimum with the linear program above.n = 237 and 303. New arrangements, from GPU re-hardening of the record's tilted band
with its corner blocks held fixed. In both, one corner gap disappeared (three became two). 303 fell
later, to the rectangle composition above.n = 132. An independent rediscovery of Evan Daniel's latest packing.
Each time, checking the contributors' own repositories [4–6] showed that an equal or better
packing was already public.
Also tried, without success (so far)
Five-gap structures. These have an extra aligned block in the middle of a wall. Built
from scratch, they reproduce the known five- and six-gap records but beat nothing new. Technically, our
n = 155 record and our first n = 211 packing are six- and five-gap structures, though they
were found by a different approach: the band construction above.An exhaustive search at n = 67. We screened all 29.6 million corner-diagram
combinations, and Stenlund's 45° strip from 1980 still stands.
References
D. Ellsworth, Squares in Squares , record table and packings.
kingbird.myphotos.cc/packing/squares_in_squares.html
J. Levy et al., jlevy/squares , a register of square-packing bounds.
github.com/jlevy/squares , jlevy.github.io/squares
R. Xu, "Improving 25 square packing upper bounds", Slightly Supervised , October 2026.
slightlysupervised.substack.com ;
data and certificates at github.com/ry-xu/square_packing
F. Couzo, square-packing . github.com/franciscouzo/square-packing
E. Daniel, square-packing . github.com/evand/square-packing
N. Chaoweeraprasit (SQUISH), squish-certs . github.com/itsnaka/squish-certs
E. Friedman, "Packing Unit Squares in Squares: A Survey and New Results", Electronic Journal of
Combinatorics , Dynamic Survey DS7. combinatorics.org
Y. Nakajima, Soft-to-rigid packing .
yoheinakajima.github.io/soft-to-rigid-packing
This work: records, exact certificates and verification code. https://github.com/dostashev/square-packing
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