Canonical coordinates for the vertices of a truncated tetrahedron centered at the origin are (±3, ±1, ±1), (±1, ±3, ±1), (±1, ±1, ±3), where the ± has the same parity for each coordinate, that is, all coordinates have an even number of minuses (or all have an odd number).

It has 4 regular hexagonal faces, 4 regular triangular faces, 12 vertices and 18 edges.

See Tetrahedron.

- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra