Great tritrigonary prismatodishecatonicosicubidishexacosichoron

Great tritrigonary prismatodishecatonicosicubidishexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getitpid hicadox
Elements
Cells	120 compound of five cubes, 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, 600 octahemioctahedra, 120 great rhombidodecahedra, 1200 hexagonal prisms
Faces	4800 triangles, 7200 squares, 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	Statupid hicadox
Abstract & topological properties
Euler characteristic	4200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatodishecatonicosicubidishexacosichoron, or getitpid hicadox, 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 quasitruncated great stellated dodecahedra, 600 octahemioctahedra, 120 great rhombidodecahedra, and 1200 hexagonal prisms. Two cubes (one compound), one tetrahedron, three quasitruncated great stellated dodecahedra, three octahemioctahedra, three great rhombidodecahedra, and six hexagonal 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" (#1436).