Small skewverted ditrigonal hexacositrishecatonicosachoron

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Small skewverted ditrigonal hexacositrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSkiv datixathi
Coxeter diagramx3x3o5x5*a3/2*c *b5/3*d
Elements
Cells600 octahemioctahedra, 120 small dodecicosidodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra
Faces2400+2400 triangles, 1440 pentagons, 2400 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200+7200
Vertices7200
Vertex figureCrossed skewed wedge, base edge lengths 1, 1, (1+5)/2; lateral edge lengths 3, (5+5)/2, (5+5)/2
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGidditdid–3–oho:
 Gidditdid–5–saddid: 144°
 Gidditdid–10/3–idtid: 144°
 Saddid–10–idtid: 144°
 Saddid–3–oho:
 Oho–6–iddtid:
Related polytopes
ArmySemi-uniform Prix, edge lengths (truncated dodecahedra), 1 (bases of triangular prisms)
RegimentSkiv datapixady
ConjugateGreat skewverted ditrigonal hexacositrishecatonicosachoron
Abstract & topological properties
Flag count259200
Euler characteristic–3840
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small skewverted ditrigonal hexacositrishecatonicosachoron, or skiv datixathi, is a nonconvex uniform polychoron that consists of 600 octahemioctahedra, 120 small dodecicosidodecahedra, 120 great ditrigonal icosidodecahedra, and 120 icosidodecatruncated dodecicosidodecahedra. 1 octahemioctahedron, 1 small dodecicosidodecahedron, 1 great ditrigonal dodecicosidodecahedron, and 2 icosidodecatruncated icosidodecahedra 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]