Skew pentagram

Skew pentagram
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{5/2\}\#\{\}$ $\{5/2\}\#\{2\}$ $\left\{{\dfrac {10}{4,5}}\right\}$
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)

The skew pentagram 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 pentagram with a digon. Since the pentagram is not 2-colorable the result has twice as many vertices and edges as the pentagram. It consists of the 10 lateral edges of a pentagonal retroprism.