Quasitruncated great stellated dodecahedron

The quasitruncated great stellated dodecahedron, or quit gissid, is a uniform polyhedron. It consists of 20 triangles and 12 decagrams. Each vertex joins one triangle and two decagrams. As the name suggests, it can be obtained by quasitruncation of the great stellated dodecahedron.

Vertex coordinates
A quasitruncated great stellated dodecahedron of edge length 1 has vertex coordinates given by all even permutations of:
 * (0, ±1/2, ±(3$\sqrt{(37–15√5)/8}$–5)/4),
 * (±1/2, ±(3–$\sqrt{5}$)/4, ±(3–$\sqrt{(5–√5)/2}$)/2),
 * (±(3–$\sqrt{(5–√5)/2}$)/4, ±($\sqrt{(5+2√5)/15}$–1)/2, ±($\sqrt{5}$–2)/2).