Grand ditetrahedronary dishecatonicosachoron

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Grand ditetrahedronary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadatady
Coxeter diagramo3o3o5x5/3*b ()
Elements
Cells120 great stellated dodecahedra, 120 ditrigonary dodecadodecahedra
Faces720 pentagons, 1440 pentagrams
Edges3600
Vertices600
Vertex figureAntitruncated tetrahedron, edge lengths (5–1)/2 (triangle edges) and (1+5)/2 (other edges)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesDitdid–5–ditdid: 72°
 Ditdid–5/2–gissid: 72°
Central density115
Number of external pieces60120
Level of complexity233
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary dishecatonicosachoron
Abstract & topological properties
Euler characteristic–1080
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The grand ditetrahedronary dishecatonicosachoron, or gadatady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra and 120 ditrigonary dodecadodecahedra. 4 ditrigonary dodecadodecahedra and 4 great stellated dodecahedra 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]