# Skew triangle

Skew triangle Rank2
TypeRegular
Space3D Euclidean space
Notation
Schläfli symbol$\{3\}\#\{\}$ $\{3\}\#\{2\}$ $\left\{\dfrac{6}{2,3}\right\}$ Elements
Edges6
Vertices6
Related polytopes
ArmyTrip
Convex hullTriangular prism
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryA2×A1, order 12
ConvexNo
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