Dodecahedronary prismatohecatonicosachoron

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Dodecahedronary prismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDophi
Elements
Cells120 gidtid, 1200 trip
Faces2400 triangles, 1800 squares, 720 pentagons
Edges1200
Vertices120
Edge figure(gidtid 5 gidtid 3 trip 4 trip 4 trip 3)×3
Measures (edge length 1)
Circumradius1
Number of external pieces68400
Level of complexity137
Related polytopes
ArmyEx
RegimentSishi
ConjugateRadophi
Abstract & topological properties
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The dodecahedronary prismatohecatonicosachoron, or dophi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 1200 triangular prisms. Twenty great ditrigonary icosidodecahedra and sixty triangular prisms join at each vertex.

It also has great icosahedra and tetrahedra as pseudofacets.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]