Small skewverted prismatohexacosidishecatonicosachoron

Small skewverted prismatohexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Skiv pixady
Elements
Cells	600 cho, 120 sird, 720 stiddip, 120 idtid
Faces	7200 squares, 2400 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200+7200
Vertices	7200
Vertex figure	Butterfly skewed wedge, base edge lengths √2, √3, √2, √3; side edge lengths √2, √(5–√5)/2
Measures (edge length 1)
Circumradius	${\sqrt {13+4{\sqrt {5}}}}\approx 4.68447$
Related polytopes
Army	Semi-uniform Prix
Regiment	Skiv datapixady
Conjugate	Gikkiv pixady
Abstract & topological properties
Euler characteristic	–3480
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small skewverted prismatohexacosidishecatonicosachoron, or skiv pixady, is a nonconvex uniform polychoron that consists of 600 cubohemioctahedra, 120 small rhombidodecahedra, 720 decagrammic prisms, and 120 icosidodecatruncated icosidodecahedra. One cubohemioctahedron, one small rhombidodecahedron, two decagrammic prisms, and two icosidodecatruncated icosidodecahedra 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" (#601).