Dodecahedronary prismatohecatonicosachoron

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Dodecahedronary prismatohecatonicosachoron
Dophi card Bowers.jpeg
Rank4
TypeUniform
SpaceSpherical
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 pieces68400
Level of complexity137
Related polytopes
ArmyEx
RegimentSishi
ConjugateRadophi
Abstract properties
Euler characteristic2520
Topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild
Discovered by{{{discoverer}}}

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]