Small dishecatonicosacoincidic hecatonicosachoron

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Small dishecatonicosacoincidic hecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSid hichi
Elements
Cells120 icosahedra
120 great dodecahedra
120 small rhombicosidodecahedra
Faces2400 triangles
1800 squares
1440 pentagons
Edges3600
Vertices720
Vertex figureFaceting of pentagonal prism
Edge figureike.srid.srid.gad.srid.srid
Measures (edge length 1)
Circumradius
Hypervolume
Related polytopes
ArmyRox
RegimentRox
ConjugateGrand retroinverted dishecatonicosacoincidic hecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureExotic

The small dishecatonicosacoincidic hecatonicosachoron is an ECC uniform polychoron that consists of 120 icosahedra, 120 great dodecahedra, and 120 small rhombicosidodecahedra. 2 icosahedra, 2 great dodecahedra, and 10 small rhombicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.