Great ditetrahedronary dishecatonicosachoron

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Great ditetrahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGiddatady
Coxeter diagramo3o3o3/2x5*b ()
Elements
Cells120 dodecahedra, 120 great ditrigonary icosidodecahedra
Faces1200 triangles, 1440 pentagons
Edges3600
Vertices600
Vertex figureHypertruncated tetrahedron, edge lengths (1+5)/2 (triangle edges) and 1 (other edges)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGidtid–3–gidtid: 120°
 Gidtid–5–doe: 72°
Central density–39
Number of external pieces22920
Level of complexity85
Related polytopes
ArmyHi, edge length
RegimentDattady
ConjugateDitetrahedronary dishecatonicosachoron
Abstract & topological properties
Flag count43200
Euler characteristic–600
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great ditetrahedronary dishecatonicosachoron, or giddatady, is a nonconvex uniform polychoron that consists of 120 regular dodecahedra and 120 great ditrigonary icosidodecahedra. 4 great ditrigonary icosidodecahedra and 4 dodecahedra 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]