Great tritrigonary hexacositrishecatonicosachoron

The great tritrigonary hexacositrishecatonicosachoron, or getit xethi, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 great dodecicosidodecahedra, and 120 small ditrigonary icosidodecahedra. 1 tetrahedron, 3 quasitruncated great stellated dodecahedra, 3 great dodecicosidodecahedra, and 1 small ditrigonary icosidodecahedron join at each vertex.

The great tritrigonary hexacositrishecatonicosachoron contains the vertices of an inscribed great quasitruncated icosidodecahedral prism.

Related polychora
The great tritrigonary hexacositrishecatonicosachoron is the colonel of a regiment that contains 79 uniform members as well as 30 fissary uniforms.