Snubahedron

The snubahedron, snu, or compound of six tetrahedra is a uniform polyhedron compound. It consists of 24 triangles, with three faces joining at a vertex.

This is a special case of the more general small snubahedron, with double symmetry. It can be formed from the rhombihexahedron by replacing each of the cubes with the inscribed stella octangula.

Its quotient prismatic equivalent is the tetrahedral hexateroorthowedge, which is eight-dimensional.

Vertex coordinates
The vertices of a small snubahedron of edge length 1 are given by all permutations of:
 * $$\left(±\frac{\sqrt2}{4},\,±\frac12,\,0\right).$$