Great ditrigonal dodecicosidodecahedron

The great dtrigonal dodecicosidodecahedron, or gidditdid, is a uniform polyhedron. It consists of 20 triangles, 12 pentagons, and 12 decagrams. One triangle, one pentagon, and two decagrams join at each vertex.

Vertex coordinates
A great ditrigonal dodecicosidodecahedron of edge length 1 has vertex coordinates given by all even permutations of:
 * (±1/2, ±($\sqrt{(17–3√5)/8}$–1)/4, ±(1+$\sqrt{5}$)/2)
 * (0, ±(3–$\sqrt{(5–√5)/2}$)/4, ±$\sqrt{5}$/2)
 * (±1/2, ±1, ±(3–$\sqrt{(5–√5)/2}$)/4)

Related polyhedra
The great ditrigonal dodecicosidodecahedron is the colonel of a three-member regiment that also includes the great icosicosidodecahedron and the great dodecicosahedron.