Small rhombated hexacosichoron

The small rhombated hexacosichoron, or srix, also commonly called the cantellated 600-cell, is a convex uniform polychoron that consists of 600 cuboctahedra, 720 pentagonal prisms, and 120 icosidodecahedra. 1 icosidodecahedron, 2 pentagonal prisms, and 2 cuboctahedra join at each vertex. As one of its names suggests, it can be obtained by cantellating the hexacosichoron.

Vertex coordinates
The vertices of a small rhombated hexacosichoron of edge length 1 are given by all permutations of: Plus even permutations of:
 * (0, 0, ±(1+$\sqrt{2}$)/2, ±(5+3$\sqrt{5}$)/2)
 * (0, ±1, ±(2+$\sqrt{19+8√5}$), ±(2+$\sqrt{5}$))
 * (±1/2, ±1/2, ±(3+2$\sqrt{(5+2√5)/10}$)/2, ±(5+2$\sqrt{3}$)/2)
 * (±(2+$\sqrt{7+3√5}$)/2, ±(2+$\sqrt{5}$)/2, ±(3+2$\sqrt{5}$)/2, ±(3+2$\sqrt{5}$)/2)
 * (0, ±1/2, ±3(1+$\sqrt{5}$)/4, ±(11+5$\sqrt{5}$)/4)
 * (0, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$), ±(3+$\sqrt{5}$)/2)
 * (0, ±(4+$\sqrt{5}$)/2, ±(7+3$\sqrt{5}$)/4, ±3(3+$\sqrt{5}$)/4)
 * (±1/2, ±(1+$\sqrt{5}$)/4, ±(5+3$\sqrt{5}$)/2, ±·3+$\sqrt{5}$)/4)
 * (±1/2, ±(1+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$), ±(5+3$\sqrt{5}$)/4)
 * (±1/2, ±(1+$\sqrt{5}$)/2, ±(11+5$\sqrt{5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±1/2, ±(5+$\sqrt{5}$)/4, ±(2+$\sqrt{5}$), ±3(3+$\sqrt{5}$)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±(5+2$\sqrt{5}$)/2, ±(4+$\sqrt{5}$)/2)
 * (±·1+$\sqrt{5}$)/4, ±1, ±(2+$\sqrt{5}$)/2, ±(11+5$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/4, ±(3+$\sqrt{5}$)/2, ±(3+2$\sqrt{5}$)/2, ±3(3+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/4, ±5+3$\sqrt{5}$)/4, ±(2+$\sqrt{5}$), ±(4+$\sqrt{5}$)/2)
 * (±1, ±(3+$\sqrt{5}$)/4, ±(5+2$\sqrt{5}$)/2, ±(7+3$\sqrt{5}$)/4)
 * (±(3+$\sqrt{5}$)/4, ±(5+$\sqrt{5}$)/4, ±(2+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$))
 * (±(3+$\sqrt{5}$)/4, ±(5+$\sqrt{5}$)/4, ±(3+2$\sqrt{5}$)/2, ±(2+$\sqrt{5}$))
 * (±·3+$\sqrt{5}$)/4, ±3(1+$\sqrt{5}$)/4, ±(5+2$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/2)
 * (±(1+$\sqrt{5}$)/2, ±(5+$\sqrt{5}$)/4, ±(5+3$\sqrt{5}$)/4, ±(5+2$\sqrt{5}$)/2)
 * (±(1+$\sqrt{5}$)/2, ±(5+3$\sqrt{5}$)/4, ±(3+2$\sqrt{5}$)/2, ±(7+3$\sqrt{5}$)/4)
 * (±(2+$\sqrt{5}$)/2, ±3(1+$\sqrt{5}$)/4, ±(2+$\sqrt{5}$), ±(5+3$\sqrt{5}$)/4)