Truncated cube

The truncated cube is one of the 13 Archimedean solids. It consists of 6 octagons and 8 triangles. Each vertex joins one triangle and two octagons. As the name suggests, it can be obtained by truncation of the cube.

Vertex coordinates
A truncated tetrahedron of edge length 1 has vertex coordinates given by all permutations and sign changes of
 * (±(1+$\sqrt{7+4√2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2).