Retroditetrahedronary disprismatohecatonicosachoron

The retroditetrahedronary disprismatohecatonicosachoron, or raddit diphi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 720 pentagrammic prisms, and 720 pentagonal prisms. Six dodecadodecahedra, twelve pentagrammic prisms, and twelve pentagonal prisms join at each vertex.

Retroditetrahedronary disprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRaddit diphi
Elements
Cells120 did, 720 stip, 720 pip
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces564480
Level of complexity1531
Related polytopes
ArmyHi
RegimentDattady
ConjugateRetroditetrahedronary disprismatohecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic1920
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

Vertex coordinates edit

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

External links edit