Small skewverted prismatodishexacositrishecatonicosachoron

Small skewverted prismatodishexacositrishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Skiv padixathi
Elements
Cells	120 giid, 600 co, 120 saddid, 720 stiddip, 120 idtid, 600 toe
Faces	4800 triangles, 7200 squares, 1440 pentagons, 4800 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200+7200
Vertices	7200
Vertex figure	Windowed skewed wedge
Measures (edge length 1)
Circumradius	${\sqrt {13+4{\sqrt {5}}}}\approx 4.68447$
Related polytopes
Army	Semi-uniform Prix
Regiment	Skiv datapixady
Conjugate	Gikkiv padixathi
Abstract & topological properties
Euler characteristic	4440
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small skewverted prismatodishexacositrishecatonicosachoron, or skiv padixathi, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 600 cuboctahedra, 120 small dodecicosidodecahedra, 720 decagrammic prisms, 120 icosidodecatruncated icosidodecahedra, and 600 truncated octahedra. One great icosicosidodecahedron, one cuboctahedron, one small dodecicosidodecahedron, two decagrammic prisms, two icosidodecatruncated icosidodecahedra, and two truncated octahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 14: Skewverts" (#610).