Great hexacosifaceted hexacosidishecatonicosachoron

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Great hexacosifaceted hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGix fixady
Elements
Cells600 truncated tetrahedra, 120 dodecahedra, 120 great icosicosidodecahedra
Faces2400 triangles, 1440 pentagons, 2400 hexagons
Edges3600+3600
Vertices2400
Vertex figureTriangular hemipodium, edge lengths (1+5)/2 (top triangle), 1 (base pseudo-triangle), and 3 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesGiid–5–doe: 144°
 Giid–3–tut:
 Giid–6–tut:
Number of external pieces107160
Level of complexity349
Related polytopes
ArmyThi, edge length
RegimentGidthixhi
ConjugateSmall hexacosifaceted hexacosidishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The great hexacosifaceted hexacosidishecatonicosachoron, or gix fixady, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 120 dodecahedra, and 600 truncated tetrahedra. Three great icosicosidodecahedra, one dodecahedron, and three truncated tetrahedra join at each vertex.

It also has 120 truncated icosahedra and 600 tetrahedra as pseudofacets.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great ditrigonal hecatonicosihexacosihecatonicosachoron.

External links[edit | edit source]