Skew polygon

The interior surface and corresponding area measure of such a polygon is not uniquely defined.

In 3 dimensions a regular skew polygon has vertices alternating between two parallel planes.

Examples are shown on the uniform square and pentagon antiprisms.

Three infinite regular skew polyhedra are space-filling in 3-space; others exist in 4-space, some within the uniform 4-polytopes.

The n-n duoprisms and dual duopyramids also have 2n-gonal Petrie polygons.

The red edges of this tetragonal disphenoid represent a regular zig-zag skew quadrilateral.
A uniform n -gonal antiprism has a 2 n -sided regular skew polygon defined along its side edges.