Tiling the Owen Dodecagon With Three Didoms

A didom is a polyform made by joining two doms, 2×1 right triangles, at their short legs, long legs, half long legs, or hypotenuses. All but one of the didoms conform to the polyomino (square) grid. Here are the 13 didoms:

In 2000, Brendan Owen tiled an almost regular dodecagon with two sets of the 13 didoms:

For an analysis of this tiling problem, see this page at Bernd Karl Rennhak's Logelium.

Below I show how to tile this dodecagon with copies of three different didoms. Only 8 sets of three didoms can be used to do this:

Last revised 2023-12-10.

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Col. George Sicherman [ HOME | MAIL ]