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Monohing - 1 (1 tile)
Dihings - 2 (4 tiles)
Trihings - 8 (24 tiles)
Tetrahings - 45 (180 tiles)
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
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