Small ditetrahedronary prismatocubidishecatonicosachoron

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Small ditetrahedronary prismatocubidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSadtipacady
Elements
Cells120 compounds of five cubes, 120 dodecahedra, 120 icosidodecahedra, 1200 triangular prisms
Faces2400 triangles, 3600 squares, 1440 pentagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces104520
Level of complexity208
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtapacady
Abstract & topological properties
Flag count115200
Euler characteristic2400
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

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