# Convex Figures with Didom Triplets

## Introduction

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. Here are the 13 didoms:

Below I show how to make a minimal convex figure using copies of three didoms, 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.

 1-2-3 × 1-4-10 9 1-8-10 × 2-4-7 5 2-7-12 3 3-5-6 × 3-9-10 22 4-7-9 3 5-6-13 × 6-7-12 × 7-10-11 3 1-2-4 × 1-4-11 21 1-8-11 × 2-4-8 × 2-7-13 5 3-5-7 12 3-9-11 12 4-7-10 5 5-7-8 8 6-7-13 × 7-10-12 × 1-2-5 5 1-4-12 × 1-8-12 × 2-4-9 4 2-8-9 × 3-5-8 × 3-9-12 × 4-7-11 3 5-7-9 5 6-8-9 × 7-10-13 × 1-2-6 5 1-4-13 × 1-8-13 × 2-4-10 3 2-8-10 9 3-5-9 10 3-9-13 × 4-7-12 4 5-7-10 3 6-8-10 × 7-11-12 4 1-2-7 × 1-5-6 × 1-9-10 9 2-4-11 5 2-8-11 13 3-5-10 × 3-10-11 × 4-7-13 3 5-7-11 4 6-8-11 × 7-11-13 3 1-2-8 × 1-5-7 13 1-9-11 12 2-4-12 6 2-8-12 × 3-5-11 × 3-10-12 × 4-8-9 × 5-7-12 4 6-8-12 × 7-12-13 × 1-2-9 × 1-5-8 × 1-9-12 × 2-4-13 4 2-8-13 6 3-5-12 22 3-10-13 × 4-8-10 13 5-7-13 5 6-8-13 × 8-9-10 × 1-2-10 23 1-5-9 × 1-9-13 × 2-5-6 6 2-9-10 4 3-5-13 × 3-11-12 24 4-8-11 58 5-8-9 × 6-9-10 30 8-9-11 × 1-2-11 × 1-5-10 × 1-10-11 × 2-5-7 3 2-9-11 6 3-6-7 × 3-11-13 × 4-8-12 × 5-8-10 × 6-9-11 36 8-9-12 × 1-2-12 × 1-5-11 × 1-10-12 × 2-5-8 11 2-9-12 6 3-6-8 × 3-12-13 × 4-8-13 × 5-8-11 × 6-9-12 × 8-9-13 × 1-2-13 × 1-5-12 5 1-10-13 × 2-5-9 10 2-9-13 6 3-6-9 8 4-5-6 6 4-9-10 6 5-8-12 × 6-9-13 × 8-10-11 × 1-3-4 × 1-5-13 × 1-11-12 × 2-5-10 5 2-10-11 6 3-6-10 × 4-5-7 3 4-9-11 8 5-8-13 × 6-10-11 × 8-10-12 × 1-3-5 × 1-6-7 × 1-11-13 5 2-5-11 5 2-10-12 5 3-6-11 6 4-5-8 5 4-9-12 4 5-9-10 × 6-10-12 × 8-10-13 × 1-3-6 × 1-6-8 × 1-12-13 × 2-5-12 7 2-10-13 4 3-6-12 × 4-5-9 10 4-9-13 3 5-9-11 × 6-10-13 × 8-11-12 × 1-3-7 × 1-6-9 × 2-3-4 × 2-5-13 6 2-11-12 9 3-6-13 × 4-5-10 5 4-10-11 5 5-9-12 × 6-11-12 × 8-11-13 × 1-3-8 × 1-6-10 × 2-3-5 8 2-6-7 5 2-11-13 × 3-7-8 × 4-5-11 7 4-10-12 9 5-9-13 × 6-11-13 × 8-12-13 × 1-3-9 × 1-6-11 × 2-3-6 7 2-6-8 7 2-12-13 5 3-7-9 9 4-5-12 5 4-10-13 11 5-10-11 × 6-12-13 × 9-10-11 × 1-3-10 × 1-6-12 × 2-3-7 7 2-6-9 4 3-4-5 12 3-7-10 × 4-5-13 × 4-11-12 7 5-10-12 × 7-8-9 8 9-10-12 × 1-3-11 × 1-6-13 × 2-3-8 × 2-6-10 3 3-4-6 8 3-7-11 5 4-6-7 7 4-11-13 6 5-10-13 × 7-8-10 × 9-10-13 × 1-3-12 × 1-7-8 × 2-3-9 26 2-6-11 3 3-4-7 6 3-7-12 × 4-6-8 5 4-12-13 4 5-11-12 × 7-8-11 5 9-11-12 × 1-3-13 × 1-7-9 40 2-3-10 13 2-6-12 4 3-4-8 × 3-7-13 × 4-6-9 6 5-6-7 3 5-11-13 × 7-8-12 × 9-11-13 5 1-4-5 34 1-7-10 × 2-3-11 26 2-6-13 3 3-4-9 86 3-8-9 × 4-6-10 6 5-6-8 6 5-12-13 × 7-8-13 × 9-12-13 × 1-4-6 23 1-7-11 5 2-3-12 × 2-7-8 5 3-4-10 26 3-8-10 × 4-6-11 11 5-6-9 × 6-7-8 × 7-9-10 4 10-11-12 × 1-4-7 5 1-7-12 × 2-3-13 × 2-7-9 5 3-4-11 14 3-8-11 × 4-6-12 8 5-6-10 × 6-7-9 4 7-9-11 5 10-11-13 × 1-4-8 × 1-7-13 × 2-4-5 5 2-7-10 5 3-4-12 × 3-8-12 × 4-6-13 6 5-6-11 × 6-7-10 × 7-9-12 5 10-12-13 4 1-4-9 × 1-8-9 × 2-4-6 3 2-7-11 3 3-4-13 6 3-8-13 × 4-7-8 7 5-6-12 × 6-7-11 3 7-9-13 5 11-12-13 ×

## 21–86 Tiles

Last revised 2020-06-26.

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Col. George Sicherman [ HOME | MAIL ]