Great tritrigonary hexacosidishecatonicosihexacosichoron

Great tritrigonary hexacosidishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit xidhix
Elements
Cells	600 tet, 600 oho, 120 quit gissid, 120 giddy
Faces	4800 triangles, 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 xidhix
Abstract & topological properties
Euler characteristic	–1200
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary hexacosidishecatonicosihexacosichoron, or getit xidhix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 600 octahemioctahedra, 120 quasitruncated great stellated dodecahedra, and 120 great dodecicosahedra. One tetrahedron, three octahemioctahedra, 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" (#1399).