Parallelogon

In geometry, a parallelogon is a polygon with parallel opposite sides (hence the name) that can tile a plane by translation (rotation is not permitted).

Not to be confused with zonogon, a polygon with parallel opposite sides, that does not necessarily tile a plane but must be convex.

Parallelogons have an even number of sides and opposite sides that are equal in length. A less obvious corollary is that parallelogons can only have either four or six sides; Parallelogons have 180-degree rotational symmetry around the center.

A four-sided parallelogon is called a parallelogram.

The faces of a parallelohedron (the three dimensional analogue) are called parallelogons.

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