Small skewverted dishexacositetrishecatonicosachoron

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Small skewverted dishexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSkiv dixathi
Elements
Cells120 gidditdid, 600 co, 120 srid, 120 idtid, 120 grid, 600 toe
Faces4800 triangles, 7200 squares, 1440 pentagons, 4800 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200+7200
Vertices7200
Vertex figureInverted skewed wedge, base edge lengths 1, 2, 1, 2; lateral edge lengths 2, (1+5)/2, (5–5)/2
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prix
RegimentSkiv datapixady
ConjugateGikkiv dixathi
Abstract & topological properties
Euler characteristic5040
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small skewverted dishexacositetrishecatonicosachoron, or skiv dixathi, is a nonconvex uniform polychoron that consists of 120 great ditrigonal dodecicosidodecahedra, 600 cuboctahedra, 120 small rhombicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, 120 great rhombicosidodecahedra, and 600 truncated octahedra. One great ditrigonal dodecicosidodecahedron, one cuboctahedron, one small rhombicosidodecahedron, two icosidodecatruncated icosidodecahedra, two great rhombicosidodecahedra, and two truncated octahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]