Small ditrigonary dishexacosicubidishecatonicosachoron

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Small ditrigonary dishexacosicubidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtid xacady
Elements
Cells120 compound of five cubes, 120 great icosidodecahedra, 600 octahedra, 120 small icosicosidodecahedra, 600 cubohemioctahedra
Faces4800 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGidtid xacady
Abstract & topological properties
Euler characteristic4200
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary dishexacosicubidishecatonicosachoron, or sidtid xacady, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplane, forming 120 compound of five cubes), 120 great icosidodecahedra, 600 octahedra, 120 small icosicosidodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), three great icosidodecahedra, three octahedra, six small icosicosidodecahedra, and six cubohemioctahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

External links[edit | edit source]