Great ditrigonary hexacosihecatonicosachoron

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Great ditrigonary hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidtixhi
Coxeter diagramx3o3o3/2o5*b ()
Elements
Cells600 tetrahedra, 120 icosahedra
Faces2400 triangles
Edges1200
Vertices120
Vertex figureGreat ditrigonary icosidodecahedron, edge length 1
Edge figure(tet 3 ike 3)×3
Measures (edge length 1)
Circumradius1
Hypervolume
Dichoral angle
Central density39
Number of external pieces57600
Level of complexity154
Related polytopes
ArmyEx, edge length
RegimentSishi
CompanySidtixhi
DualGreat triambic icosahedral hecatonicosachoron
ConjugateSmall ditrigonary hexacosihecatonicosachoron
Abstract & topological properties
Flag count28800
Euler characteristic600
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits2
ConvexNo
NatureTame

The great ditrigonary hexacosihecatonicosachoron, or gidtixhi, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra and 120 regular icosahedra. 12 icosahedra and 20 tetrahedra join at each vertex, with a great ditrigonary icosidodecahedron as the vertex figure.

It has the same set of triangular faces as the small ditrigonary hexacosihecatonicosachoron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

External links[edit | edit source]