Small ditetrahedronary prismatodishecatonicosihexacosichoron

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Small ditetrahedronary prismatodishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadtipdohix
Elements
Cells600 tet, 120 id, 720 pip, 120 sird
Faces2400 triangles, 3600 squares, 1440 pentagons, 720 decagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces1273680
Level of complexity2491
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtapdahix
Abstract & topological properties
Flag count144000
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedronary prismatodishecatonicosihexacosichoron, or sadtipdohix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 icosidodecahedra, 720 pentagonal prisms, and 120 small rhombidodecahedra. Four tetrahedra, six icosidodecahedra, twelve pentagonal prisms, and twelve small rhombidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]