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by alreadydone
1123 days ago
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Could the chromatic number be less than 4 (for some or all hat/turtle/spectre tilings)? Note that for the lattice tilings by squares and equilateral triangles the chromatic number is 2, while for the tiling by regular hexagons it is 3.
ZeroRogue has drawn dual graphs of hat tilings https://twitter.com/ZenoRogue/status/1639644061823819777 so you can just try to color them. |
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