Small diacositetracontatriacosihexacontaswirlprismatic hecatonicosatriacosihexacontachoron

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Small diacositetracontatriacosihexacontaswirlprismatic hecatonicosatriacosihexacontachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidditsphit
Elements
Cells360 tetrahedra, 120+360 triangular prisms, 240 tetrahemihexahedra
Faces240+720+720 triangles, 360+720 squares
Edges120+360+720
Vertices120
Related polytopes
ArmyEx
RegimentSishi
Abstract & topological properties
Euler characteristic600
OrientableNo
Properties
SymmetryH3●G2, order 720
ConvexNo
NatureWild

The small diacositetracontatriacosihexacontaswirlprismatic hecatonicosatriacosihexacontachoron, abbreviated as the small 240-360 swirlprismatic 120-360choron or simply sidditsphit, is a nonconvex uniform polychoron. It is made out of 240 tetrahemihexahedra, 480 triangular prisms of two kinds, and 360 tetrahedra.

Along with the great diacositetracontatriacosihexacontaswirlprismatic hecatonicosatriacosihexacontachoron, it is one of the first two new uniform polychora to be discovered since 2006. It was found in September 2020 by _Geometer, a member of the Hi.gher Space forum.[1]

References[edit | edit source]

  1. _Geometer (2020). "Uniform Polychoron #1850".

External links[edit | edit source]