Great tritrigonary dishecatonicosiprismatocubidishexacosichoron

Great tritrigonary dishecatonicosiprismatocubidishexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getitid hipcadex
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 120 truncated great icosahedra, 600 cubohemioctahedra, 120 great dodecicosidodecahedra, 720 decagrammic prisms
Faces	2400 triangles, 7200 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	Stutted hipcadex
Abstract & topological properties
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary dishecatonicosiprismatocubidishexacosichoron, or getitid hipcadex, 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, 600 cubohemioctahedra, 120 great dodecicosidodecahedra, and 720 decagrammic prisms. Two cubes (one compound), one tetrahedron, three truncated great icosahedra, three cubohemioctahedra, three great dodecicosidodecahedra, and six decagrammic prisms 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" (#1433).