Grand ditetrahedronary hexacosihecatonicosachoron

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Grand ditetrahedronary hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtaxhi
Coxeter diagramo3o3o5x3/2*b ()
Elements
Cells600 tetrahedra, 120 great ditrigonary icosidodecahedra
Faces2400 triangles, 720 pentagons
Edges3600
Vertices600
Vertex figureQuasitruncated tetrahedron, edge lengths 1 (triangle edges) and (1+5)/2 (other edges)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesGidtid–3–tet:
 Gidtid–5–gidtid: 72°
Central density218
Number of external pieces78000
Level of complexity261
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary hexacosihecatonicosachoron
Abstract & topological properties
Euler characteristic–600
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The grand ditetrahedronary hexacosihecatonicosachoron, or gadtaxhi, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra and 120 great ditrigonary icosidodecahedra. 4 great ditrigonary icosidodecahedra and 4 tetrahedra 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]