Small skewverted disprismatotetrishecatonicosachoron

Small skewverted disprismatotetrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sik vadipthi
Elements
Cells	120 gaddid, 120 raded, 120 srid, 120 idtid, 720 dip, 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	Inverted skewed wedge, base edge lengths 1, (√5–1)/2, (1+√5)/2; lateral edge lengths √2, √2, √(5–√5)/2
Measures (edge length 1)
Circumradius	$2{\sqrt {2}}\approx 2.82843$
Related polytopes
Army	Semi-uniform Prix
Regiment	Sik vipathi
Conjugate	Gik vadipthi
Abstract & topological properties
Euler characteristic	4560
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small skewverted disprismatotetrishecatonicosachoron, or sik vadipthi, is a nonconvex uniform polychoron that consists of 120 great dodecicosidodecahedra, 120 rhombidodecadodecahedra, 120 small rhombicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, 720 decagonal prisms, and 1200 hexagonal prisms. One great dodecicosidodecahedron, one rhombidodecadodecahedron, one small rhombicosidodecahedron, 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" (#593).