Grand retroditetrahedronary dishecatonicosihexacosichoron

From Polytope Wiki
(Redirected from Gard tadhix)
Jump to navigation Jump to search
Grand retroditetrahedronary dishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGard tadhix
Elements
Cells600 tet, 120 ditdid, 120 gaddid
Faces2400 triangles, 720 pentagons, 1440 pentagrams, 720 decagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces62880
Level of complexity162
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall retroditetrahedronary dishecatonicosihexacosichoron
Abstract & topological properties
Flag count100800
Euler characteristic1440
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand retroditetrahedronary dishecatonicosihexacosichoron, or gard tadhix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 ditrigonary dodecadodecahedra, and 120 great dodecicosidodecahedra. Four tetrahedra, four ditrigonary dodecadodecahedra, and twelve great dodecicosidodecahedra 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]