Blended tetrahedron

The blended tetrahedron or skew tetrahedron is a regular skew polyhedron in 4D Euclidean space. It is the result of blending a tetrahedron with a digon.

Vertex coordinates
The vertex coordinates for the blended tetrahedron of unit edge length and skew distance can be given by all permutations of:
 * $$\left(\pm\dfrac{\sqrt{2}}{2},\,0,\,0,\,0\right)$$

Related polytopes
The blended tetrahedron is abstractly equivalent to the Petrial cube.