Cuboctahedron

The cuboctahedron is a quasiregular polyhedron and one of the 13 Archimedian solids. It consists of 6 squares and 8 equilateral triangles, with two of each joining at a vertex. It can be derived as a rectified cube or octahedron.

Vertex coordinates
A cuboctahedron of side length 1 has vertex coordinates given by all permutations of (±$\sqrt{2}$/2, ±$\sqrt{2}$/2, 0).

Rhombitetratetrahedron
A cuboctahedron can also be constructed in A3 symmetry, as the cantellated tetrahedron. In this form, the 8 triangles split into 2 sets of 4, and the squares alternately join ot the two kinds of triangles.