Skew pentagon

Skew pentagon
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{5\}\#\{\}$ $\{5\}\#\{2\}$ $\left\{{\dfrac {10}{2,5}}\right\}$
Elements
Edges	10
Vertices	10
Related polytopes
Army	Pip
Convex hull	Pentagonal prism
Abstract & topological properties
Euler characteristic	0
Schläfli type	{10}
Orientable	Yes
Properties
Symmetry	H2×A1, order 20
Convex	No
Dimension vector	(1,2)

This article is about the pentagon blended with a digon. For the skew polygon with 5 vertices, see Pentagonal-pentagrammic coil.

The skew pentagon is a regular skew polygon in 3D Euclidean space. Despite its name it has 10 sides and 10 vertices. It is the result of blending a pentagon with a digon. Since the pentagon is not 2-colorable the result has twice as many vertices and edges as the pentagon. It consists of the 10 lateral edges of a pentagrammic antiprism.