Ditrigonal hecatonicosachoron

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Ditrigonal hecatonicosachoron
Rank4
TypeUniform dual, semi-uniform, noble
Elements
Cells120 ditrigonal icosahedra
Faces1200 propeller tripods
Edges720+720
Vertices120
Vertex figureMedial triambic icosahedron
Related polytopes
ArmyHexacosichoron
DualInvertidodecahedronary hecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count28800
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits2
ConvexNo
NatureTame

The ditrigonal hecatonicosachoron is a nonconvex noble polychoron that consists of 120 ditrigonal icosahedra. 20 cells join at each vertex, with the vertex figure being a medial triambic icosahedron.

It is the dual of the invertidodecahedronary hecatonicosachoron.

Vertex coordinates[edit | edit source]

A ditrigonal hecatonicosachoron with dual edge length 1, centered at the origin, has vertex coordinates given by all permutations of:

  • ,
  • ,

and all even permutations of:

  • .