Swirlprismatostellated joined hecatonicosachoron

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Swirlprismatostellated joined hecatonicosachoron
Rank4
TypeIsotopic
SpaceSpherical
Elements
Cells600 parabistellated pentagonal bipyramids
Faces600 isosceles triangles, 1200 irregular tetragons, 600 kites
Edges240+600+600+1200
Vertices120+120+600
Vertex figure600 square pyramids, 120 pentagonal tegums, 120 pentagonal antitegums
Measures (edge length 1)
Central density1
Related polytopes
DualSwirlprismatodiminished rectified hexacosichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexYes
NatureTame

The swirlprismatostellated joined hecatonicosachoron, also known as the tegmantitegmoidal transitional intersected rhombitriacontaswirlic hexacosichoron, is an isochoric polychoron with 600 parabistellated pentagonal bipyramids as cells. It can be obtained as the dual of the swirlprismatodiminished rectified hexacosichoron. It also appears as the convex core of spaxhi.

Each cell of this polychoron has bilateral symmetry, with 2 kites, 4 irregular tetragons, and 2 isosceles triangles for faces.