### Alexandre Muñiz

Shared publicly -Here's a strict[1] 3,4-coloring of a hexiamond tiling of a torus, where every combination of the colors is present. What's remarkable here is that there is exactly one tiling of this torus that can be colored in this way, out of all of its 328,198 hexiamond tilings. (Even more remarkably, this isn't the first time a reasonably natural polyform tiling problem has produced a unique tiling with a coloring of this type. There is also, out of the 2,339 pentomino tilings of a 6×10 rectangle, a single tiling that can be colored this way.) While this problem could be explored on other tori, this torus has an aesthetic advantage in being the most symmetrical one with the right area.

[1] A strict coloring is one in which regions that meet only at a vertex are considered adjacent, and cannot receive the same color.

[1] A strict coloring is one in which regions that meet only at a vertex are considered adjacent, and cannot receive the same color.

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