Small pental dishecatonicosintercepted hecatonicosachoron

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Small pental dishecatonicosintercepted hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSpidhiny
Elements
Cells
Faces
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces41040
Level of complexity89
Related polytopes
ArmyRox
RegimentRagishi
ConjugateGreat inverted retropental hecatonicosintercepted dishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits8
ConvexNo
NatureWild

The small pental dishecatonicosintercepted hecatonicosachoron, or spidhiny, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 great icosicosidodecahedra and 120 quasitruncated small stellated dodecahedra. Two icosahedra, ten great icosicosidodecahedra, and ten quasitruncated small stellated dodecahedra join at each vertex.

Gallery[edit | edit source]

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]