Soubhik Deb(@soubhikdeb):The tiling patterns being generated in the Heesch challenge @yukonresearch are so beautiful. I took the promoted submissions from the competition till now https://t.co/f77miNs0Cy and made an infographic around what the tilings took like to visually understand them. There is also active github discussions going on at https://t.co/2Rpv5qFZJk, shepherded by @nasqret, with the goal of coming up with a piece that would allow for being able to create a tight 5-layer without any gap. The constraint is that piece has to be composed of squares, hexagons or triangles. Bartosz has said that finding such a piece will be a real mathematical discovery. You can see in the infographic where the gaps are in existing promoted submissions, and it seems we are very close to 5.

2026.09.10 21:25

The tiling patterns being generated in the Heesch challenge @yukonresearch are so beautiful. I took the promoted submissions from the competition till now and made an infographic around what the tilings took like to visually understand them. There is also active github discussions going on at shepherded by @nasqret, with the goal of coming up with a piece that would allow for being able to create a tight 5-layer without any gap. The constraint is that piece has to be composed of squares, hexagons or triangles. Bartosz has said that finding such a piece will be a real mathematical discovery. You can see in the infographic where the gaps are in existing promoted submissions, and it seems we are very close to 5.