Antitruncated great dodecahedron

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

Vertex coordinates
The coordinates of the antitruncated great dodecahedron are the same as the small rhombicosidodecahedron, being

all permutations of along with all even permutations of
 * $$\left(±\frac{2+\sqrt5}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(0,\,±\frac{3+\sqrt5}{4},\,±\frac{5+\sqrt5}{4}\right),$$
 * $$\left(±\frac{1+\sqrt5}{4},\,±\frac{1+\sqrt5}{2},\,±\frac{3+\sqrt5}{4}\right).$$

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