Grand retroditetrahedronary prismatotrishecatonicosachoron

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Grand retroditetrahedronary prismatotrishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGardtapthi
Elements
Cells120 gissid, 120 sidtid, 1200 trip, 120 gird
Faces2400 triangles, 3600 squares, 1440 pentagrams, 720 decagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary prismatotrishecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand retroditetrahedronary prismatotrishecatonicosachoron, or gardtapthi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 small ditrigonary icosidodecahedra, 1200 triangular prisms, and 120 great rhombidodecahedra. Four great stellated dodecahedra, four small ditrigonary icosidodecahedra, twelve triangular prisms, and twelve great rhombidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]