Truncated tetrahedron

The truncated tetrahedron is one of the 13 Archimedian solids. It consists of 4 hexagons 4 triangles. Each vertex joins one triangle and two hexagons. As the name suggests, it can be obtained by the truncation of the tetrahedron.

Vertex coordinates
A truncated tetrahedron of edge length 1 has vertex coordinates given by all even permutations of (±3$\sqrt{3}$/4, ±$\sqrt{3}$/4, ±$\sqrt{22}$/4).