Antitruncated octahedron

The antitruncated octahedron or inflected truncated octahedron is a semi-uniform polyhedron. It consists of 6 squares and 8 tripods. It has 1 square and 2 tripods at a vertex, and an isosceles triangle as a vertex. It is both the anitruncation (or inflected truncation) of the octahedron and a faceting of the truncated octahedron.

Vertex coordinates
The coordinates of the antitruncated octahedron are the same as the truncated octahedron, being all permutations of


 * $$\left(±\sqrt2,\,±\frac{\sqrt2}{2},\,0\right).$$

Variations
The antitruncated octahedron is part of a teepee where the squares are resized.