Faceted rectified great stellated hecatonicosachoron

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Faceted rectified great stellated hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymFrogshi
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Measures (edge length 1)
Circumradius
Central density–12
Number of external pieces137040
Level of complexity353
Related polytopes
ArmyRox
RegimentRagishi
ConjugateRidhi
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic–240
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits5
ConvexNo
NatureTame

The faceted rectified great stellated hecatonicosachoron, or frogshi, also known as the facetorectified great stellated hecatonicosachoron, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra and 120 quasitruncated small stellated dodecahedra. Five dodecadodecahedra and ten quasitruncated small stellated dodecahedra join at each vertex.

It also has great dodecahedra and great dodecahemidodecahedra as pseudofacets.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]