Disphenoidal trischiliahexacosichoron

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Disphenoidal trischiliahexacosichoron
Rank4
TypeUniform dual
Notation
Coxeter diagramo5m3m3o ()
Elements
Cells3600 digonal disphenoids
Faces3600+3600 isosceles triangles
Edges720+1200+2400
Vertices120+600
Vertex figure600 triakis tetrahedra, 120 pentakis dodecahedra
Measures (edge length 1)
Central density1
Related polytopes
DualHexacosihecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexYes
NatureTame

The disphenoidal trischiliahexacosichoron is a convex isochoric polychoron with 3600 digonal disphenoids as cells. It can be obtained as the dual of the hexacosihecatonicosachoron.

It can also be obtained as the convex hull of a hecatonicosachoron and a hexacosichoron, where the edges of the hexacosichoron are times the length of those of the hecatonicosachoron. Varying the hexacosichoron's edge length to be anything between and times that of the hecatonicosachoron gives a fully symmetric variant of this polychoron.