Skew octagon

Skew octagon
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{8\}\#\{\}$ $\{8\}\#\{2\}$ $\left\{\dfrac{8}{1,4}\right\}$
Elements
Edges	8
Vertices	8
Related polytopes
Army	Squap
Convex hull	Square antiprism
Abstract & topological properties
Euler characteristic	0
Schläfli type	{8}
Orientable	Yes
Properties
Symmetry	(I2(8)×A1)/2, order 16
Convex	No
Net count	1
Dimension vector	(2,1)

The skew octagon is a regular skew polygon in 3D Euclidean space. It is the result of blending an octagon with a digon. It consists of the 8 lateral edges of a square antiprism.

Related polytopes

Other skew octagons

The Skew octagon is one of 12 regular polygons in Euclidean space.

Octagons in Euclidean space

Name	Extended Schläfli symbol	Dimensions
octagon	$\left\{\dfrac{8}{1}\right\}$	2
octagram	$\left\{\dfrac{8}{3}\right\}$	2
octagonal-square coil	$\left\{\dfrac{8}{1,2}\right\}$	4
octagonal-octagrammic coil	$\left\{\dfrac{8}{1,3}\right\}$	4
skew octagon	$\left\{\dfrac{8}{1,4}\right\}$	3
square-octagrammic coil	$\left\{\dfrac{8}{2,3}\right\}$	4
skew octagram	$\left\{\dfrac{8}{3,4}\right\}$	3
octagonal-square-octagrammic coil	$\left\{\dfrac{8}{1,2,3}\right\}$	6
skew octagonal-square coil	$\left\{\dfrac{8}{1,2,4}\right\}$	5
skew octagonal-octagrammic coil	$\left\{\dfrac{8}{1,3,4}\right\}$	5
skew square-octagrammic coil	$\left\{\dfrac{8}{2,3,4}\right\}$	5
skew octagonal-square-octagrammic coil	$\left\{\dfrac{8}{1,2,3,4}\right\}$	7