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Polyiamond
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==Symmetries==<!-- This section is linked from [[Symmetry]] --> Possible [[symmetry|symmetries]] are mirror symmetry, 2-, 3-, and 6-fold rotational symmetry, and each combined with mirror symmetry. 2-fold rotational symmetry with and without mirror symmetry requires at least 2 and 4 triangles, respectively. 6-fold rotational symmetry with and without mirror symmetry requires at least 6 and 18 triangles, respectively. Asymmetry requires at least 5 triangles. 3-fold rotational symmetry without mirror symmetry requires at least 7 triangles. In the case of only mirror symmetry we can distinguish having the symmetry axis aligned with the grid or rotated 30Β° (requires at least 4 and 3 triangles, respectively); ditto for 3-fold rotational symmetry, combined with mirror symmetry (requires at least 18 and 1 triangles, respectively). [[File:Polyiamond Symmetries.svg|Polyiamond Symmetries]]
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