Great tritrigonary prismatohecatonicosihexacosihecatonicosachoron

Great tritrigonary prismatohecatonicosihexacosihecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit phixhi
Elements
Cells	600 tet, 720 pip, 120 gidditdid, 120 gird
Faces	2400 triangles, 3600 squares, 1440 pentagons, 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 phixhi
Abstract & topological properties
Euler characteristic	–1080
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatohecatonicosihexacosihecatonicosachoron, or getit phixhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagonal prisms, 120 great ditrigonal dodecicosidodecahedra, and 120 great rhombidodecahedra. One tetrahedron, three pentagonal prisms, three great ditrigonal dodecicosidodecahedra, and three great rhombidodecahedra 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" (#1397).