Convex Figures with Didrafter Pairs

A didrafter is a polyform made by joining two drafters, 30°-60°-90° right triangles, at their short legs, long legs, hypotenuses, or half hypotenuses.

A polydrafter is proper if its cells conform to the polyiamond (triangle) grid, and extended if some do not. Here are the 13 didrafters, 6 proper and 7 extended:

Below I show how to make a minimal convex figure using copies of two didrafters, at least one of each. These solutions are not necessarily unique, nor are their tilings. If you find a solution with fewer tiles, or solve an unsolved case, please write.

See also Convex Figures with Didrafter Triplets.

  12345678910111213
1•323×738×2×××
23•42223333354
324•3×826572×××
4323•22×6×××××
5×2×2•4×66×××90
672824•×48985××
7332××ו××4×××
88366648ו×2×××
9×357×69×ו2×××
10232××8422•×××
11×3×××5×××ו××
12×5××××××××ו×
13×4××90××××××ו

Last revised 2020-06-13.

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Col. George Sicherman [ HOME | MAIL ]