# Skew hexagon

Skew hexagon Rank2
TypeRegular
Space3D Euclidean space
Notation
Schläfli symbol$\{6\}\#\{\}$ $\{6\}\#\{2\}$ $\left\{\dfrac{6}{1,3}\right\}$ Elements
Edges6
Vertices6
Related polytopes
ArmyTrap
DualFlat hexagon
Convex hullTriangular antiprism
Abstract & topological properties
Euler characteristic0
Schläfli type{6}
OrientableYes
Properties
Symmetry(G2×A1)/2, order 12
ConvexNo
Dimension vector(2,1)

The skew hexagon is a regular skew polygon in 3D Euclidean space. It is the result of blending a hexagon with a digon.

## Related polytopes

Its edges are the side edges of a triangular antiprism.

The cube and octahedron each have four skew hexagons as Petrie polygons.

### Other skew hexagons

The skew hexagon 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