Skew triangle

Skew triangle
Rank	2
Type	Regular
Space	3D Euclidean space
Notation
Schläfli symbol	$\{3\}\#\{\}$ $\{3\}\#\{2\}$ $\left\{\dfrac{6}{2,3}\right\}$
Elements
Edges	6
Vertices	6
Related polytopes
Army	Trip
Convex hull	Triangular prism
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	A2×A1, order 12
Convex	No
Dimension vector	(2,1)

The skew triangle is a regular skew polygon in 3D Euclidean space. Despite its name it has 6 sides and 6 vertices. It is the result of blending a triangle with a digon. Since the triangle is not 2-colorable the result has twice as many vertices and edges as the triangle.

Its edges form the diagonals of the rectangular faces of a general triangular prism.

Related polytopes

Other skew hexagons

The skew triangle is one of five regular hexagons in Euclidean space:

Hexagons in Euclidean space

Name	Extended Schläfli symbol	Dimensions
hexagon	$\left\{\dfrac{6}{1}\right\}$	2
hexagonal-triangular coil	$\left\{\dfrac{6}{1,2}\right\}$	4
skew hexagon	$\left\{\dfrac{6}{1,3}\right\}$	3
skew triangle	$\left\{\dfrac{6}{2,3}\right\}$	3
skew hexagonal-triangular coil	$\left\{\dfrac{6}{1,2,3}\right\}$	5