Disrhombicosahedron

The disrhombicosahedron, dri, or compound of twenty triangular prisms is a uniform polyhedron compound. It consists of 60 squares and 40 triangles (pairs of which are in the same plane, combining to 20 hexagrams), with two triangles and four squares joining at a vertex.

It can be formed by combining the two chiral forms of the chirorhombicosahedron, which results in vertices pairing up and two components joining per vertex.

Its quotient prismatic equivalent is the triangular prismatic icosayodakoorthowedge, which is 22-dimensional.

Vertex coordinates
The vertices of a disrhombicosahedron of edge length 1 are given by all permutations of: plus all even permutations of:
 * $$\left(\pm\frac{\sqrt{15}}{6},\,\pm\frac{\sqrt3}{6},\,\pm\frac{\sqrt3}{6}\right),$$
 * $$\left(0,\,\pm\frac{3\sqrt3+\sqrt{15}}{12},\,\pm\frac{3\sqrt3-\sqrt{15}}{12}\right),$$
 * $$\left(\pm\frac{\sqrt3}{3},\,\pm\frac{\sqrt{15}-\sqrt3}{12},\,\pm\frac{\sqrt3+\sqrt{15}}{12}\right).$$