Antitruncated great icosahedron

The antitruncated great icosahedron or inflected truncated great icosahedron is a semi-uniform polyhedron. It is both the antitruncation of the great icosahedron and a faceting of the truncated icosahedron. It consists of 20 propeller tripods and 12 pentagrams, with an isosceles triangle vertex figure and 1 pentagram and 2 propeller tripods at a vertex.

Vertex coordinates
The coordinates of the antitruncated great icosahedron are the same as the truncated icosahedron, being all permutations and changes of sign of
 * $$\left(0,\,±\frac12,\,±3\frac{1+\sqrt5}{4}\right),$$
 * $$\left(±\frac12,\,±\frac{5+\sqrt5}{4},\,±\frac{1+\sqrt5}{2}\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±1,\,±\frac{2+\sqrt5}{2}\right).$$

Variations
The antitruncated great icosahedron is part of a teepee where the great icosahedron is antitruncated by a different amount.