Great tritrigonary tetrishecatonicosihexacosichoron

Great tritrigonary tetrishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit tuhix
Elements
Cells	120 sidtid, 120 gird, 600 cho, 120 quit gissid, 120 tiggy
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 tuhix
Abstract & topological properties
Euler characteristic	1800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary tetrishecatonicosihexacosichoron, or getit tuhix, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 great rhombidodecahedra, 600 cubohemioctahedra, 120 quasitruncated great stellated dodecahedra, and 120 truncated great icosahedra. One small ditrigonary icosidodecahedron, three great rhombidodecahedra, three cubohemioctahedra, three quasitruncated great stellated dodecahedra, and three truncated great icosahedra 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" (#1410).