Great diretroditetrahedronary prismatodishecatonicosachoron

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Great diretroditetrahedronary prismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidard tipady
Elements
Cells120 doe, 720 stip, 120 raded
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentDattady
ConjugateDiretroditetrahedronary prismatodishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic2520
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

The great diretroditetrahedronary prismatodishecatonicosachoron, or gidard tipady, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 720 pentagrammic prisms, and 120 rhombidodecadodecahedra. Four dodecahedra, twelve pentagrammic prisms, and twelve rhombidodecadodecahedra 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]