Small disnub hexacosihexacosihexacosichoron

From Polytope Wiki
Jump to navigation Jump to search
Small disnub hexacosihexacosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidsaxixox
Elements
Cells600 great dodecahedra, 600 truncated dodecahedra, 600 small rhombicosidodecahedra, 2400 golden hexagrammic antiprisms
Faces12000+14400 triangles, 9000 squares, 7200 pentagons, 2400 golden hexagrams, 3600 decagons
Edges7200+7200+14400
Vertices3600
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Srix
RegimentSadsadox
ConjugateGidsaxixox
Abstract & topological properties
Euler characteristic19200
OrientableYes
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small disnub hexacosihexacosihexacosichoron, or sidsaxixox, is a nonconvex uniform polychoron that consists of 600 great dodecahedra, 600 truncated dodecahedra, 600 small rhombicosidodecahedra, and 4800 octahedra (some of which lie in the same hyperplanes, forming 2400 golden hexagrammic antiprisms). Two great dodecahedra, ten truncated dodecahedra, ten small rhombicosidodecahedra, and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 5 rixhi and 5 nipixady. In the process, some of the octahedron cells blend out.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small disnub dishexacosichoron.

External links[edit | edit source]