Chirorhombicosahedron

The chirorhombicosahedron, kri, or compound of ten triangular prisms is a uniform polyhedron compound. It consists of 30 squares and 20 triangles, with one triangle and two squares joining at a vertex.

Its quotient prismatic equivalent is the triangular prismatic decayottoorthowedge, which is twelve-dimensional.

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

Related polyhedra
This compound is chiral. The compound of the two enantiomorphs is the disrhombicosahedron.