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.
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