Great tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron

Great tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit phixacady
Elements
Cells	120 compound of five cubes, 120 truncated great icosahedra, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great dodecicosidodecahedra, 1200 hexagonal prisms
Faces	4800 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	Stut phixacady
Abstract & topological properties
Euler characteristic	6120
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatohecatonicosihexacosicubidishecatonicosachoron, or getit phixacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 120 truncated great icosahedra, 120 quasitruncated great stellated dodecahedra, 600 cuboctahedra, 120 great dodecicosidodecahedra, and 1200 hexagonal prisms. Two cubes (one compound), three truncated great icosahedra, three quasitruncated great stellated dodecahedra, three cuboctahedra, three great dodecicosidodecahedra, 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" (#1443).