Small ditetrahedronary prismatohecatonicosihexacosichoron

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Small ditetrahedronary prismatohecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSadtaphix
Elements
Cells600 tet, 1200 trip, 120 sird
Faces2400 triangles, 3600 squares, 720 decagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces540600
Level of complexity1207
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGadtaphix
Abstract & topological properties
Flag count115200
Euler characteristic1800
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedronary prismatohecatonicosihexacosichoron, or sadtaphix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 1200 triangular prisms, and 120 small rhombidodecahedra. Four tetrahedra, twelve triangular 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]