Small tritrigonary hexacosidishecatonicosiprismatohexacosichoron

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Small tritrigonary hexacosidishecatonicosiprismatohexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymStut xidhipix
Elements
Cells600 tet, 120 tid, 600 co, 1200 hip, 120 grid
Faces4800 triangles, 7200 squares, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetit xidhipix
Abstract & topological properties
Euler characteristic4800
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tritrigonary hexacosidishecatonicosiprismatohexacosichoron, or stut xidhipix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 truncated dodecahedra, 600 cuboctahedra, 1200 hexagonal prisms, and 120 great rhombicosidodecahedra. One tetrahedron, three truncated dodecahedra, three cuboctahedra, six hexagonal prisms, and six great rhombicosidodecahedra join at each vertex.

It also has compound of five cubes as pseudofacets.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links[edit | edit source]