Here I show minimal known convex polygons formed by pairs of scaled hexiamonds. If you find a smaller solution or solve an unsolved case, please write.
Carl Schwenke and Johann Schwenke found new and improved solutions.
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | • | 4 | 7 | 3 | 6 | 3 | 3 | 6 | 7 | 3 | 3 | 7 |
| 2 | 4 | • | 7 | 7 | 4 | 3 | 4 | 7 | 7 | 4 | 4 | 8 |
| 3 | 7 | 7 | • | 8 | 3 | 4 | 13 | — | — | 4 | 8 | — |
| 4 | 3 | 7 | 8 | • | 8 | 4 | 4 | 7 | 8 | 4 | 2 | 4 |
| 5 | 6 | 4 | 3 | 8 | • | 5 | 5 | 4 | 3 | 13 | 3 | 8 |
| 6 | 3 | 3 | 4 | 4 | 5 | • | 2 | 6 | 7 | 5 | 4 | 10 |
| 7 | 3 | 4 | 13 | 4 | 5 | 2 | • | 11 | 13 | 5 | 4 | 13 |
| 8 | 6 | 7 | — | 7 | 4 | 6 | 11 | • | — | 8 | 4 | — |
| 9 | 7 | 7 | — | 8 | 3 | 7 | 13 | — | • | — | 3 | — |
| 10 | 3 | 4 | 4 | 4 | 13 | 5 | 5 | 8 | — | • | 3 | 3 |
| 11 | 3 | 4 | 8 | 2 | 3 | 4 | 4 | 4 | 3 | 3 | • | 7 |
| 12 | 7 | 8 | — | 4 | 8 | 10 | 13 | — | — | 3 | 7 | • |
Last revised 2025-11-01.