Great intercepted invertipental trishecatonicosachoron

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Great intercepted invertipental trishecatonicosachoron
Gipathi-slices.gif
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGanipathi
Elements
Cells120 gike, 120 gaddid, 120 gid
Faces3600 triangles, 1440 pentagrams, 720 decagrams
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces98640
Level of complexity226
Related polytopes
ArmyRox
RegimentRigfix
ConjugateSmiffipathi
Convex coreHecatonicosachoron
Abstract & topological properties
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great intercepted invertipental trishecatonicosachoron, or ganipathi, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 great dodecicosidodecahedra, and 120 great icosidodecahedra. Two great icosahedra, ten great dodecicosidodecahedra, and five great icosidodecahedra join at each vertex.

It is superficially identical to the great invertipental trishecatonicosachoron, differing only internally.

Gallery[edit | edit source]

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

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.

External links[edit | edit source]