Great tritrigonary hexacosicubitrishecatonicosachoron

Great tritrigonary hexacosicubitrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit xacthi
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 120 truncated great icosahedra, 120 great dodecicosidodecahedra, 120 great quasitruncated icosidodecahedra
Faces	2400 triangles, 3600 squares, 1440 pentagrams, 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 xacthi
Abstract & topological properties
Euler characteristic	1320
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary hexacosicubitrishecatonicosachoron, or getit xacthi, 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, 120 truncated great icosahedra, 120 great dodecicosidodecahedra, and 120 great quasitruncated icosidodecahedra. Two cubes (one compound), one tetrahedron, three truncated great icosahedra, three great dodecicosidodecahedra, 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" (#1429).