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parallelogon
A parallelogon is a polygon such that images of the polygon under translations only tile the plane when fitted together along entire sides.〔Aleksandr Danilovich Aleksandrov ''Convex Polyhedra'' (p351 )〕
A parallelogon must have an even number of sides and opposite sides must be equal in length and parallel (hence the name). A less obvious restriction is that a parallelogon can only have four or six sides;〔 a four-sided parallelogon is a parallelogram. In general a parallelogon has 180-degree rotational symmetry around its center.
== Two polygonal types ==
Quadrilateral and hexagonal parallelogons each have varied geometric symmetric forms. In general they all have central inversion symmetry, order 2. Hexagonal parallelogons enable the possibility of nonconvex polygons.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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