Skewverted trisprismatohecatonicosachoron

Skewverted trisprismatohecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Kavitaphi
Elements
Cells	720 stiddip, 120 idtid, 720 dip, 1200 hip
Faces	10800 squares, 2400 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200+7200
Vertices	7200
Measures (edge length 1)
Circumradius	$2{\sqrt {2}}\approx 2.82843$
Related polytopes
Army	Semi-uniform Prix
Regiment	Sik vipathi
Conjugate	None
Abstract & topological properties
Euler characteristic	–1080
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The skewverted trisprismatohecatonicosachoron, or kavitaphi, is a nonconvex uniform polychoron that consists of 720 decagrammic prisms, 120 icosidodecatruncated icosidodecahedra, 720 decagonal prisms, and 1200 hexagonal prisms. Two decagrammic prisms, two icosidodecatruncated icosidodecahedra, two decagonal prisms, and two hexagonal prisms join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small skewverted prismatotrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 14: Skewverts" (#589).