Square Packing: all records
← the write-up · values as of October 12, 2026, 9:12 PM PDT
aligned, part of a corner structurealigned, elsewheretilted
Both packings in each pair are shown in a canonical orientation: rotated or mirrored so the largest corner structure sits top-right.
previous best on the left, ours on the right · scroll to zoom · drag to pan · double-click to reset
n = 129
previous best
s = 11.872029849
93 corner-structure · 9 other aligned · 27 tilted ours
s = 11.870013850
100 corner-structure · 0 other aligned · 29 tilted n = 155
previous best
s = 12.952498944
103 corner-structure · 3 other aligned · 49 tilted ours
s = 12.952425407
106 corner-structure · 4 other aligned · 45 tilted n = 156 (since improved by Francisco Couzo, 12.979165854)
previous best
s = 12.982082699
101 corner-structure · 1 other aligned · 54 tilted ours
s = 12.979172614
92 corner-structure · 2 other aligned · 62 tilted n = 175
previous best
s = 13.767119024
106 corner-structure · 5 other aligned · 64 tilted ours
s = 13.764174317
121 corner-structure · 4 other aligned · 50 tilted n = 176
previous best
s = 13.807637227
101 corner-structure · 23 other aligned · 52 tilted ours
s = 13.795872318
108 corner-structure · 3 other aligned · 65 tilted n = 204
previous best
s = 14.822875656
174 corner-structure · 0 other aligned · 30 tilted ours
s = 14.808663234
136 corner-structure · 8 other aligned · 60 tilted n = 211
previous best
s = 14.997960705
136 corner-structure · 2 other aligned · 73 tilted ours
s = 14.993694187
133 corner-structure · 2 other aligned · 76 tilted n = 232
previous best
s = 15.767428350
157 corner-structure · 10 other aligned · 65 tilted ours
s = 15.764174317
169 corner-structure · 2 other aligned · 61 tilted n = 241
previous best
s = 15.988132440
158 corner-structure · 4 other aligned · 79 tilted ours
s = 15.987134249
154 corner-structure · 2 other aligned · 85 tilted n = 264
previous best
s = 16.778174593
144 corner-structure · 0 other aligned · 120 tilted ours
s = 16.774735132
178 corner-structure · 8 other aligned · 78 tilted n = 303
previous best
s = 17.913065463
244 corner-structure · 4 other aligned · 55 tilted ours
s = 17.909958291
205 corner-structure · 6 other aligned · 92 tilted n = 304
previous best
s = 17.929565947
233 corner-structure · 3 other aligned · 68 tilted ours
s = 17.929427758
206 corner-structure · 3 other aligned · 95 tilted