Retroprismatorhombisnub hecatonicosachoron

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Retroprismatorhombisnub hecatonicosachoron
Rank4
TypeScaliform
Notation
Bowers style acronymRaprishi
Coxeter diagram
Elements
Cells2400 triangular prisms as 1200 hexagrammic prisms, 1440 pentagrammic cupolae, 120 small snub icosicosidodecahedra
Faces4800 triangles as 2400 hexagrams, 7200 triangles, 7200 squares, 1440 pentagrams, 720 decagrams
Edges7200+14400
Vertices3600
Related polytopes
ArmySemi-uniform Prix
RegimentRaprishi
ConjugateRetroprismatorhombiretrosnub hecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The retroprismatorhombisnub hecatonicosachoron, or raprishi, is a scaliform polychoron. It consists of 120 small snub icosicosidodecahedra, 2400 triangular prisms combining into hexagrammic prisms, and 1440 pentagrammic cupolae. It can be formed by expanding the snub hecatonicosachoron to fit retrograde hexagrammic prisms between the small snub icosicosidodecahedron cells and expanding the pentagrammic pyramids into pentagrammic cupolae. It is notable for having icosahedral snub polyhedra as cells.

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