Small retrofrustary prismatotetrishecatonicosachoron

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Small retrofrustary prismatotetrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirfupthi
Elements
Cells120 giid 120 gird, 120 saddid, 120 idtid, 1200 hip
Faces2400 triangles, 5400 squares, 1440 pentagons, 3600 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateRifupthi
Abstract & topological properties
Euler characteristic3240
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small retrofrustary prismatotetrishecatonicosachoron, or sirfupthi, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 120 great rhombidodecahedra, 120 small dodecicosidodecahedra, 120 icosidodecatruncated icosidodecahedra, and 1200 hexagonal prisms. Two great icosicosidodecahedra, two great rhombidodecahedra, two small dodecicosidodecahedra, four icosidodecatruncated icosidodecahedra, and four hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]