Great tritrigonary prismatodishecatonicosihecatonicosihexacosichoron

Great tritrigonary prismatodishecatonicosihecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit pidhihix
Elements
Cells	120 gidtid, 720 pip, 120 tiggy, 120 qrid, 600 oho
Faces	4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
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 pidhihix
Abstract & topological properties
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatodishecatonicosihecatonicosihexacosichoron, or getit pidhihix, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagonal prisms, 120 truncated great icosahedra, 120 quasirhombicosidodecahedra, and 600 octahemioctahedra. One great ditrigonary icosidodecahedron, three pentagonal prisms, three truncated great icosahedra, three quasirhombicosidodecahedra, and three octahemioctahedra 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" (#1402).