Great skewverted disprismatotetrishecatonicosachoron

Great skewverted disprismatotetrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gik vadipthi
Elements
Cells	120 qrid, 120 raded, 120 saddid, 720 stiddip, 120 idtid, 1200 hip
Faces	2400 triangles, 10800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200+7200
Vertices	7200
Vertex figure	Windowed skewed wedge
Measures (edge length 1)
Circumradius	$2{\sqrt {2}}\approx 2.82843$
Related polytopes
Army	Semi-uniform Prix
Regiment	Sik vipathi
Conjugate	Sik vadipthi
Abstract & topological properties
Euler characteristic	4560
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great skewverted disprismatotetrishecatonicosachoron, or gik vadipthi, is a nonconvex uniform polychoron that consists of 120 quasirhombicosidodecahedra, 120 rhombidodecadodecahedra, 120 small dodecicosidodecahedra, 720 decagrammic prisms, 120 icosidodecatruncated icosidodecahedra, and 1200 hexagonal prisms. One quasirhombicosidodecahedron, one rhombidodecadodecahedron, one small dodecicosidodecahedron, two decagrammic prisms, two icosidodecatruncated icosidodecahedra, 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" (#595).