Faceted rectified great stellated hecatonicosachoron

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Faceted rectified great stellated hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymFrogshi
Elements
Cells120 did, 120 quit sissid
Faces1440 pentagons, 720 pentagrams, 720 decagrams
Edges3600
Vertices720
Vertex figurePentagrammic toroprism
Measures (edge length 1)
Circumradius
Number of external pieces137040
Level of complexity353
Related polytopes
ArmyRox
RegimentRagishi
ConjugateRidhi
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic–240
OrientableYes
Properties
SymmetryH4, order 14400
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

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

Vertex coordinates

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

External links