Hexagonal-triangular coil

The hexagonal-triangular coil is a regular skew polygon in 4-dimensional Euclidean space, which can be obtained by blending a hexagon and a triangle ($$\{ 6 \} \# \{ 3 \}$$). It is one of five regular hexagons in Euclidean space.

Its edges form a subset of 6 edges of a 6-2 step prism, which is a variant of the more symmetrical triangular duotegum.

Vertex coordinates
The vertex coordinates of the hexagonal-triangular coil are the same as those found in a 6-2 step prism.

Related polytopes
The hexagonal-triangular coil is the second-smallest possible regular skew polygon in 4D Euclidean space, the smallest being the 5-sided pentagonal-pentagrammic coil.

It is appears as the face of $$\{ 6, 3 \} \# \{ 3 \}$$ and $$\{ 3, 6 \} \# \{ 6 \}$$, making it the smallest regular 4-dimensional polygon which appears as the face of a 4-dimensional skew polyhedron.

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