Skew decagram

Skew decagram
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{10/3\}\#\{\}$ $\{10/3\}\#\{2\}$ $\left\{\dfrac{10}{3,5}\right\}$
Elements
Edges	10
Vertices	10
Related polytopes
Army	Pap
Convex hull	Pentagonal antiprism
Abstract & topological properties
Euler characteristic	0
Schläfli type	{10}
Orientable	Yes
Properties
Symmetry	(I2(10)×A1)/2, order 16
Convex	No
Net count	1
Dimension vector	(2,1)

The skew decagram is a regular skew polygon in 3D Euclidean space. It is the result of blending a decagram with a digon. It consists of the 10 lateral edges of a pentagrammic retroprism.

Related polytopes

There are 4 regular skew polygons with 10 sides in 3D Euclidean space:

• $\left\{\dfrac{10}{1,5}\right\}$, the skew decagon
• $\left\{\dfrac{10}{2,5}\right\}$, the skew pentagon
• $\left\{\dfrac{10}{3,5}\right\}$, the skew decagram
• $\left\{\dfrac{10}{4,5}\right\}$, the skew pentagram