Small ditetrahedronary cubihexacosidishecatonicosachoron

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Small ditetrahedronary cubihexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSadticaxady
Elements
Cells120 compounds of five cubes, 600 tetrahedra, 120 dodecahedra, 120 small rhombicosidodecahedra
Faces2400 triangles, 3600 squares, 1440 pentagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces117720
Level of complexity232
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtacaxady
Abstract & topological properties
Flag count115200
Euler characteristic3000
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedronary cubihexacosidishecatonicosachoron, or sadticaxady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 600 tetrahedra, 120 dodecahedra, and 120 small rhombicosidodecahedra. Eight cubes (or four compounds), four tetrahedra, four dodecahedra, 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]