Swirlprismatic hexacosihecatonicosachoron

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Swirlprismatic hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSpaxhi
Elements
Cells120 pentagrammic prisms, 600 pentagonal prisms
Faces1800 squares, 120 pentagrams, 600 pentagons
Edges1200
Vertices120
Vertex figureFaceted dodecahedron
Measures (edge length 1)
Circumradius1
Number of external pieces353640
Level of complexity14304
Related polytopes
ArmyEx
RegimentSishi
ConjugateSwirlprismatic hecatonicosihexacosichoron
Convex coreSwirlprismatostellated joined hexacosichoron
Abstract & topological properties
Flag count43200
Euler characteristic720
OrientableYes
Properties
SymmetryH3●I2(10), order 1200
ConvexNo
NatureFeral

The swirlprismatic hexacosihecatonicosichoron, or spaxhi, is a uniform polychoron in the small stellated hecatonicosachoron's regiment. Its cells are 120 pentagrammic prisms and 600 pentagonal prisms, with 10 and 50 of each, respectively, meeting each of the polychoron's 120 vertices.

Cross-sections[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.


Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

External links[edit | edit source]