Great swirlprismatic pyrihecatonicosachoron

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Great swirlprismatic pyrihecatonicosachoron
Rank4
TypeScaliform
Notation
Bowers style acronymGispyphi
Elements
Cells120 pentagrammic retroprisms
240 pentagonal pyramids (as 120 compounds of 2)
Faces1200 triangles
120 pentagons
120 pentagrams
Edges600 3-fold
600 5-fold
Vertices120
Measures (edge length 1)
Circumradius
Volume
Related polytopes
ArmyEx
RegimentSishi
ConjugateSmall swirlprismatic pyrihecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count19200
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureTame

The great swirlprismatic pyrihecatonicosachoron or gispyphi is a scaliform polychoron. It consists of 120 pentagrammic retroprisms and 240 pentagonal pyramids (falling into pairs in the same hyperplanes, forming 120 compounds of 2). Ten pentagrammic retroprisms and twelve pentagonal 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]