Small retroditetrahedronary hecatonicosiprismatodishecatonicosachoron

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Small retroditetrahedronary hecatonicosiprismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSard thipady
Elements
Cells120 ditdid, 120 id, 1200 trip, 120 sird
Faces2400 triangles, 3600 squares, 1440 pentagons, 720 pentagrams, 720 decagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtad hiphi
Abstract & topological properties
Flag count158400
Euler characteristic4320
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small retroditetrahedronary hecatonicosiprismatodishecatonicosachoron, or sard thipady, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four ditrigonary dodecadodecahedra, six icosidodecahedra, twelve triangular prisms, and twelve small rhombidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

External links[edit | edit source]