Great tritrigonary prismatohecatonicositrishecatonicosachoron

Great tritrigonary prismatohecatonicositrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Getit phithi
Elements
Cells	120 ditdid, 120 qrid, 120 giid, 720 stiddip, 120 gaquatid
Faces	2400 triangles, 7200 squares, 1440 pentagons, 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 phithi
Abstract & topological properties
Euler characteristic	6720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great tritrigonary prismatohecatonicositrishecatonicosachoron, or getit phithi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 quasirhombicosidodecahedra, 120 great icosicosidodecahedra, 720 decagrammic prisms, and 120 great quasitruncated icosidodecahedra. One ditrigonary dodecadodecahedron, three quasirhombicosidodecahedra, three great icosicosidodecahedra, six decagrammic prisms, and six great quasitruncated icosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

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" (#1461).