Great retroditetrahedronary prismatotrishecatonicosachoron

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

The great retroditetrahedronary prismatotrishecatonicosachoron, or girdtapthi, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 120 dodecadodecahedra, 720 pentagrammic prisms, and 120 rhombicosahedra. Four dodecahedra, six dodecadodecahedra, twelve pentagrammic 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]