Small ditetrahedronary cubiprismatodishecatonicosachoron

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Small ditetrahedronary cubiprismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtacpady
Elements
Cells120 compounds of five cubes, 120 dodecahedra, 1200 triangular prisms, 120 small dodecicosidodecahedra
Faces2400 triangles, 3600 squares, 1440 pentagons, 720 decagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces104520
Level of complexity208
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtacapady
Abstract & topological properties
Flag count144000
Euler characteristic3120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedronary cubiprismatodishecatonicosachoron, or sidtacpady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, 1200 triangular prisms, and 120 small dodecicosidodecahedra. Eight cubes (or four compounds), four dodecahedra, twelve triangular prisms, and twelve small dodecicosidodecahedra 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]