Small tritrigonary cubidishecatonicosachoron

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Small tritrigonary cubidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymStutacady
Elements
Cells120 compound of five cubes, 120 small dodecicosahedra, 120 great rhombicosidodecahedra
Faces3600 squares, 2400 hexagons, 1440 decagons
Edges3600+7200
Vertices2400
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentStut phiddix
ConjugateGetitacady
Abstract & topological properties
Euler characteristic–1800
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small tritrigonary cubidishecatonicosachoron, or stutacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 120 small dodecicosahedra, and 120 great rhombicosidodecahedra. Two cubes (or one compound), three small dodecicosahedra, and six great rhombicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links[edit | edit source]