Ditrigonary hecatonicosihecatonicosihecatonicosachoron

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Ditrigonary hecatonicosihecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDithihihy
Elements
Cells120 raded, 120 giid, 120 siid
Faces2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons
Edges7200
Vertices1200
Measures (edge length 1)
Circumradius
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateDitrigonary hecatonicosihecatonicosihecatonicosachoron
Abstract & topological properties
Euler characteristic3120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditrigonary hecatonicosihecatonicosihecatonicosachoron, or dithihihy, is a nonconvex uniform polychoron that consists of 120 rhombidodecadodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. Six of each 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]