Small ditrigonary hexacosicubitrishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Small ditrigonary hexacosicubitrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidtoxicathi
Elements
Cells120 compound of five cubes, 120 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, 600 cubohemioctahedra
Faces2400 triangles, 5400 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGidtoxicathi
Abstract & topological properties
Euler characteristic6240
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditrigonary hexacosicubitrishecatonicosachoron, or sidtoxicathi, 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 rhombidodecadodecahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small icosicosidodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six rhombidodecadodecahedra, six great ditrigonal dodecicosidodecahedra, 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]