Invertidodecahedronary hecatonicosachoron

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Invertidodecahedronary hecatonicosachoron
Rank4
TypeNoble, Uniform
Notation
Bowers style acronymIdhi
Elements
Cells120 ditrigonary dodecadodecahedra
Faces720 pentagons, 720 pentagrams
Edges1200
Vertices120
Vertex figureDitrigonal icosahedron
Edge figure(ditdid 5/2 ditdid 5)×3
Measures (edge length 1)
Circumradius1
Hypervolume0
Dichoral anglesDitdid–5–ditdid: 144°
 Ditdid–5/2–ditdid: 72°
Number of external pieces8640
Level of complexity16
Related polytopes
ArmyEx, edge length
RegimentSishi
DualDitrigonal hecatonicosachoron
ConjugateInvertidodecahedronary hecatonicosachoron
Abstract & topological properties
Flag count28800
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits2
ConvexNo
NatureTame

The invertidodecahedronary hecatonicosachoron, or idhi, is a noble uniform polychoron in the small stellated hecatonicosachoron's regiment. It consists of 120 ditrigonary dodecadodecahedra, 20 of which meet each of its 120 vertices.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of the small stellated hecatonicosachoron, its regiment colonel.

External links[edit | edit source]