Small rhombated icositetrachoron

The small rhombated icositetrachoron, or srico, also commonly called the cantellated 24-cell, is a convex uniform polychoron that consists of 96 triangular prisms, 24 cuboctahedra and 24 small rhombicuboctahedra. 2 triangular prisms, 1 cuboctahedron, and 2 small rhombicuboctahedra join at each vertex. As one of its names suggests, it can be obtained by cantellating the icositetrachoron.

Vertex coordinates
The vertices of a small rhombated icositetrachoron of edge length 1 are given by all permutations of:
 * (±(1+$\sqrt{2}$), ±$\sqrt{4+2√2}$/2, ±$\sqrt{2}$/2, 0),
 * (±(1+2$\sqrt{6}$)/2, ±(1+$\sqrt{2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2).

The second set of vertices are identical to those of an inscribed prismatorhombated hexadecachoron.

The cantellation of the dual icositetrachoron has vertex coordinates given by:
 * (±(2+$\sqrt{2}$)/2, ±(2+$\sqrt{2}$)/2, ±1, 0),
 * (±(3+$\sqrt{2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2, ±1/2).