Great spinohexacosidishecatonicosachoron

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Great spinohexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGanxady
Elements
Cells600 tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 great dodecicosahedron
Faces2400 triangles, 1200 hexagons, 1440 decagrams
Edges3600+3600
Vertices2400
Vertex figureTriangular crown, edge lengths 1 (top triangle), (5–5)/2 (side edges of triangles), and 3 (edges between butterflies)
Measures (edge length 1)
Circumradius
Dichoral anglesGiddy–6–giddy: 120°
 Giddy–10/3–quit gissid: 108°
 Tet–3–quit gissid:
Number of external pieces27960
Level of complexity89
Related polytopes
ArmySemi-uniform Sidpixhi
RegimentGixhidy
ConjugateSmall spinohexacosidishecatonicosachoron
Abstract & topological properties
Euler characteristic–600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great spinohexacosidishecatonicosachoron, or ganxady, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, and 120 great dodecicosahedra. One tetrahedron, three quasitruncated great stellated dodecahedra, and three great dodecicosahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]