Small swirlprismatic pyrihecatonicosachoron

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Small swirlprismatic pyrihecatonicosachoron
Rank4
TypeScaliform
Notation
Bowers style acronymSispyphi
Elements
Cells
Faces
Edges
  • 600 3-fold
  • 600 5-fold
Vertices120
Measures (edge length 1)
Circumradius
Volume
Related polytopes
ArmyEx
RegimentSishi
ConjugateGreat swirlprismatic pyrihecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count19200
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
Flag orbits16
ConvexNo
NatureTame

The small swirlprismatic pyrihecatonicosachoron (OBSA: sispyphi) is a scaliform polychoron. It consists of 120 pentagonal antiprisms, and 240 pentagrammic pyramids (falling into pairs in the same hyperplanes, forming 120 compounds of 2). Ten pentagonal antiprisms and twelve pentagrammic pyramids meet at each vertex.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the general of its army, the hexacosichoron.

External links[edit | edit source]