Small dipentary hecatonicosihexacosidishecatonicosihexacosichoron

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Small dipentary hecatonicosihexacosidishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSidphixdahix
Elements
Cells120 gad, 600 tut, 600 co, 120 raded, 120 siid
Faces4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges3600+3600
Vertices1440
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Tex
RegimentPadohi
ConjugateGreat dipentary hecatonicosihexacosidishecatonicosihexacosichoron
Abstract & topological properties
Flag count230400
Euler characteristic6360
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small dipentary hecatonicosihexacosidishecatonicosihexacosichoron, or sidphixdahix, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, 600 cuboctahedra, 120 rhombidodecadodecahedra, and 120 small icosicosidodecahedra. One great dodecahedron, five truncated tetrahedra, five cuboctahedra, five rhombidodecadodecahedra, and five small icosicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]