Great sphenoidal heptachiliadiacosichoron

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Great sphenoidal heptachiliadiacosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramm5m3m3o ()
Elements
Cells7200 sphenoids
Faces3600+3600 isosceles triangles, 7200 scalene triangles
Edges720+2400+2400+3600
Vertices120+600+1200
Vertex figure1200 triangular bipyramids, 600 triakis tetrahedra, 120 disdyakis triacontahedra
Measures (edge length 1)
Central density1
Related polytopes
DualGreat rhombated hecatonicosachoron
Abstract & topological properties
Flag count172800
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The great sphenoidal heptachiliadiacosichoron is a convex isochoric polychoron with 7200 sphenoids as cells. It can be obtained as the dual of the great rhombated hecatonicosachoron.

It can also be constructed as the convex hull of a hecatonicosachoron, a hexacosichoron, and a rectified hecatonicosachoron. If the hecatonicosachoron has edge length 1, the hexacosichoron has edge length and the rectified hecatonicosachoron has edge length .