Toroidal ditrigonary hexacosidishecatonicosachoron

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Toroidal ditrigonary hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymTodtixady
Elements
Cells600 oct, 120 id, 120 gidditdid
Faces4800 triangles, 1440 pentagons, 720 decagrams
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDittixady
Abstract & topological properties
Euler characteristic120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The toroidal ditrigonary hexacosidishecatonicosachoron, or todtixady, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Three octahedra, three icosidodecahedra, and six great ditrigonal dodecicosidodecahedra 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]