Great skewverted prismatohecatonicosidishexacosichoron

Great skewverted prismatohecatonicosidishexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gik vaphiddix
Elements
Cells	600 cho, 120 siddy, 720 dip, 600 toe
Faces	7200 squares, 4800 hexagons, 720 decagons
Edges	7200+7200+7200
Vertices	7200
Measures (edge length 1)
Circumradius	${\sqrt {13-4{\sqrt {5}}}}\approx 2.01388$
Related polytopes
Army	Semi-uniform Grix
Regiment	Gik vixathi
Conjugate	Sik vaphiddix
Abstract & topological properties
Euler characteristic	–3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great skewverted prismatohecatonicosidishexacosichoron, or gik vaphiddix, is a nonconvex uniform polychoron that consists of 600 cubohemioctahedra, 120 small dodecicosahedra, 720 decagonal prisms, and 600 truncated octahedra. One cubohemioctahedron, one small dodecicosahedron, two decagonal prisms, and two truncated octahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great skewverted hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 14: Skewverts" (#575).