Ditrigonary trishecatonicosachoron

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Ditrigonary trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDittathi
Elements
Cells120 gid, 120 id, 120 raded
Faces2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDitrigonary trishecatonicosachoron
Abstract & topological properties
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The ditrigonary trishecatonicosachoron, or dittathi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, and 120 rhombidodecadodecahedra. Three great icosidodecahedra, three icosidodecahedra, and six rhombidodecadodecahedra 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]