Small retroditetrahedronary prismatodishecatonicosachoron

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Small retroditetrahedronary prismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSirdtapady
Elements
Cells120 doe, 1200 trip, 120 srid
Faces2400 triangles, 3600 squares, 1440 pentagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces1307400
Level of complexity2668
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadathiphi
Abstract & topological properties
Flag count115200
Euler characteristic3000
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

The small retroditetrahedronary prismatodishecatonicosachoron, or sirdtapady, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 1200 triangular prisms, and 120 small rhombicosidodecahedra. Four dodecahedra, twelve triangular prisms, and twelve small rhombicosidodecahedra 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]