Tiling a Polyhex with the 12 Hexiamonds

A dodecahex is a polyhex with 12 cells. In 2020, Todor Tchervenkov found some dodecahexes that can be tiled with the 12 hexiamonds and posted them here. He asked me how many dodecahexes can be tiled with the hexiamonds.

The answer is 310. Here I show one tiling for each of them. The number below each tiling shows the number of ways in which the dodecahex can be tiled, including the tiling shown. Tilings that are equivalent under some geometric motion are not counted as distinct.

Last revised 2020-02-23.

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Col. George Sicherman [ HOME | MAIL ]