Retroditetrahedronary prismatotrishecatonicosachoron

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Retroditetrahedronary prismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRedtapthi
Elements
Cells120 gissid, 120 did, 720 pip, 120 ri
Faces3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentDattady
ConjugateGreat retroditetrahedronary prismatotrishecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The retroditetrahedronary prismatotrishecatonicosachoron, or redtapthi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 dodecadodecahedra, 720 pentagonal prisms, and 120 rhombicosahedra. Four great stellated dodecahedra, six dodecadodecahedra, twelve pentagonal prisms, and twelve rhombicosahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]