Small tritrigonary hexacositetrishecatonicosachoron

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Small tritrigonary hexacositetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymStut xuthi
Elements
Cells120 ditdid, 120 ti, 120 tid, 600 oho, 120 sidditdid
Faces4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetit xuthi
Abstract & topological properties
Euler characteristic2040
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small tritrigonary hexacositetrishecatonicosachoron, or stut xuthi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 truncated icosahedra, 120 truncated dodecahedra, 600 octahemioctahedra, and 120 small ditrigonal dodecicosidodecahedra. One ditrigonary dodecadodecahedron, three truncated icosahedra, three truncated dodecahedra, three octahemioctahedra, and three small ditrigonal dodecicosidodecahedra 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]