Pentiamond-Hexiamond Compatibility
Two or more polyiamonds are compatible
if there is a polyiamond that each of them can tile.
Here I show smallest known compatibilities for
a pentiamond and a hexiamond.
If you find a smaller solution or solve an unsolved case,
please write.
| |  |  |  |  |  |  |  |  |  |  |  |  |
|---|
 | 10:12 | 10:12 | 5:6 | 5:6
| 5:6 | 5:6 | — | 5:6 | 5:6 | 10:12 | —
| 10:12 |
|---|
 | 10:12 | 5:6 | 5:6 | 5:6
| 5:6 | 5:6 | 5:6 | 5:6 | 5:6 | 5:6 | 90:108
| 5:6 |
|---|
 | 5:6 | 5:6 | 5:6 | 5:6
| 5:6 | 5:6 | — | 5:6 | 5:6
| 10:12 | 5:6 | 5:6 |
|---|
 | 5:6 | 5:6 | 10:12 | 30:36
| 5:6 | 5:6 | — | 30:36 | 10:12
| 5:6 | — | 30:36 |
|---|
Holeless Variants
Horizontal Mirror Variants
Holeless Horizontal Mirror Variants
Last revised 2024-09-08.
Back to Mixed Polyiamond Compatibility
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Pairwise Compatibility
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Polyform Compatibility
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Polyform Curiosities
Col. George Sicherman
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