Great tritrigonary tetrishecatonicosachoron

Great tritrigonary tetrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getituthi
Elements
Cells	120 sidtid, 120 tiggy, 120 quit gissid, 120 giddy
Faces	2400 triangles, 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	Stututhi
Abstract & topological properties
Euler characteristic	–1200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great tritrigonary tetrishecatonicosachoron, or getituthi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 truncated great icosahedra, 120 quasitruncated great stellated dodecahedra, and 120 great dodecicosahedra. One small ditrigonary icosidodecahedron, three truncated great icosahedra, three quasitruncated great stellated dodecahedra, and three great dodecicosahedra 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" (#1407).