Great swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron

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Great swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron
Rank4
TypeScaliform
Notation
Bowers style acronymGispaxthiccudy
Elements
Cells120 pap
120 starp
120 pip
600 trip
240 rastacu (as 120 compounds of 2)
Faces1200+1200 triangles
600+1200 squares
240 pentagons
240 pentagrams
120 decagrams
Edges600+1200 3-fold
600+600+1200 4-fold
600 5-fold
Vertices1200
Vertex figurePartial faceting of gidipthi verf
Measures (edge length 1)
Circumradius
Hypervolume
Related polytopes
ArmyBhidtex
RegimentGispaxthiccudy
ConjugateSmall swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron
Abstract & topological properties
Flag count72000
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureTame

The great swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron or gispaxthiccudy is a scaliform polychoron. It consists of 120 pentagonal antiprisms, 120 pentagrammic retroprisms, 120 pentagonal prisms, 600 triangular prisms, and 240 retrograde pentagrammic cupolae (falling into pairs in the same hyperplanes, forming 120 compounds of 2 each).

It can be created by diminishing the great dipentary trishecatonicosachoron, specifically by removing 240 vertices. As a result, every icosahedral cell of the great dipentary trishecatonicosachoron gets diminished down to a pentagonal antiprism, while every small stellated dodecahedral cell becomes a pentagrammic retroprism.

Vertex coordinates[edit | edit source]

Its vertex coordinates are the same as those of the general of its army, the bi-hecatonicosadiminished truncated hexacosichoron.

External links[edit | edit source]