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Monodiamond - 1 (1 tile)
Didiamonds - 2 (4 tiles)
Tridiamonds - 9 (27 tiles)
For higher orders of polydiamonds, the number of pieces is as follows:
Tetradiamonds - 40
Pentadiamonds - 238
Hexadiamonds - 1518
Heptadiamonds - 10276
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