Small tritrigonary prismatodishexacosihecatonicosachoron

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Small tritrigonary prismatodishexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymStut padixhi
Elements
Cells600 tet, 120 siid, 720 stip, 600 cho
Faces2400 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetit padixhi
Abstract & topological properties
Euler characteristic–600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tritrigonary prismatodishexacosihecatonicosachoron, or stut padixhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 small icosicosidodecahedra, 720 pentagrammic prisms, and 600 cubohemioctahedra. One tetrahedron, three small icosicosidodecahedra, three pentagrammic prisms, and three cubohemioctahedra join at each vertex.

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]