Polyrhombs are formed from 60° rhombi which are confined to the rhombic grid. They form a subset of the polyiamonds of twice the order.
The pieces are closely related to the polyominoes, having a wide and narrow version of each polyomino piece which is not the same by reflection in a mirror set orthogonally (not diagonally) to the square grid. If all wide or narrow pieces are discarded, the remaining pieces are equivalent to the polyominoes.
Monorhomb - 1 (1 tile)
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Dirhomb - 1 (2 tiles)
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| 1 |
Trirhombs - 3 (9 tiles)
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| 1 | 2 | 3 |
Tetrarhombs - 7 (28 tiles)
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| 1 | 2 | 3 | 4 | 5 |
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| 6 | 7 |
Pentarhombs - 20 (100 tiles)
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| 1 | 2 | 3 | 4 | 5 |
| I | T | X | U | Wide L |
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| 6 | 7 | 8 | 9 | 10 |
| Narrow L | Wide Y | Narrow Y | Wide N | Narrow N |
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| 11 | 12 | 13 | 14 | 15 |
| Wide V | Narrow V | Wide Z | Narrow Z | Wide F |
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| 16 | 17 | 18 | 19 | 20 |
| Narrow F | Wide W | Narrow W | Wide P | Narrow P |
For higher orders of polyrhombs, the number of pieces is as follows:
Hexarhombs - 62
Heptarhombs - 204
Octarhombs - 709
Ennerhombs - 2526
Decarhombs - 9212