Great tritrigonary prismatotrishecatonicosicubihexacosichoron

Great tritrigonary prismatotrishecatonicosicubihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit pathicax
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 720 pentagonal prisms, 120 great rhombidodecahedra, 120 great icosicosidodecahedra, 120 great quasitruncated icosidodecahedra
Faces	2400 triangles, 7200 squares, 1440 pentagons, 2400 hexagons, 1440 decagrams
Edges	3600+7200
Vertices	2400
Measures (edge length 1)
Circumradius	${\sqrt {8-3{\sqrt {5}}}}\approx 1.13657$
Related polytopes
Army	Semi-uniform Sidpixhi
Regiment	Getit xethi
Conjugate	Stut pathicax
Abstract & topological properties
Euler characteristic	4200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatotrishecatonicosicubihexacosichoron, or getit pathicax, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 600 tetrahedra, 720 pentagonal prisms, 120 great rhombidodecahedra, 120 great icosicosidodecahedra, and 120 great quasitruncated icosidodecahedra. Two cubes (one compound), one tetrahedron, three pentagonal prisms, three great rhombidodecahedra, three great icosicosidodecahedra, and six great quasitruncated icosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 25: Getit Xethi Regiment" (#1434).