Grand inverted ditetrahedronary trishecatonicosachoron

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Grand inverted ditetrahedronary trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGaid tathi
Elements
Cells120 gissid, 120 gid, 120 gidtid
Faces2400 triangles, 720 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces115320
Level of complexity279
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall retroinverted ditetrahedronary trishecatonicosachoron
Abstract & topological properties
Flag count72000
Euler characteristic1200
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand inverted ditetrahedronary trishecatonicosachoron, or gaid tathi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great icosidodecahedra, and 120 great ditrigonary icosidodecahedra. Four great stellated dodecahedra, six great icosidodecahedra, and four great ditrigonary icosidodecahedra 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]