Convex Shapes from the 13 Didoms

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

Below I show how to arrange the 13 didoms to make convex shapes. The left shape has 6 tilings. The right shape has 5.

I believe that these are the only convex shapes that can be formed by the 13 didoms. Can anyone confirm this?

Last revised 2023-06-13.

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Col. George Sicherman [ HOME | MAIL ]