Polyhings are formed from regular hexagons joined edge-to-edge or corner-to-corner. They form a subset of the polymings of six times the order. Connecting bridges may be added to the cornerwise joints to create a solid set of pieces without affecting their combinatorial properties, since the pieces cannot cross unlike many other polymings. However, bridges will affect the visual symmetry of some patterns.
Monohing - 1 (1 tile)
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Dihings - 2 (4 tiles)
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| 1 | 2 |
Trihings - 8 (24 tiles)
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| 1 | 2 | 3 | 4 | 5 |
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| 6 | 7 | 8 |
Tetrahings - 45 (180 tiles)
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| 1 | 2 | 3 | 4 | 5 |
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| 6 | 7 | 8 | 9 | 10 |
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| 11 | 12 | 13 | 14 | 15 |
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| 16 | 17 | 18 | 19 | 20 |
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| 21 | 22 | 23 | 24 | 25 |
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| 26 | 27 | 28 | 29 | 30 |
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| 31 | 32 | 33 | 34 | 35 |
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| 36 | 37 | 38 | 39 | 40 |
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| 41 | 42 | 43 | 44 | 45 |
For higher orders of polyhings, the number of pieces is as follows (totals courtesy of George Sicherman):
Pentahings - 322
Hexahings - 2,859
Heptahings - 26,675
Octahings - 259,756