Small swirlprismatic hexacositrishecatonicosicupolidishecatonicosachoron

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

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

It can be created by diminishing the prismatodishecatonicosachoron, specifically by removing 240 vertices. As a result, every icosahedral cell of the prismatodishecatonicosachoron gets diminished down to a pentagonal antiprism, while every small stellated dodecahedral cell becomes a pentagrammic retroprism. Some of the pre-existing prismatic cells are lost.

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]