Inverted retropental hexacosintercepted dishecatonicosachoron

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Inverted retropental hexacosintercepted dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymIrp xanady
Elements
Cells
Faces
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Number of external pieces243840
Level of complexity606
Related polytopes
ArmyRox
RegimentRagishi
ConjugatePental hexacosihecatonicosintercepted hecatonicosachoron
Convex coreHexacosichoron
Abstract & topological properties
Flag count115200
Euler characteristic2040
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits8
ConvexNo
NatureWild

The inverted retropental hexacosintercepted dishecatonicosachoron, or irp xanady, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, and 120 great ditrigonal dodecicosidodecahedra. Two great dodecahedra, ten truncated tetrahedra, and ten great ditrigonal dodecicosidodecahedra join at each vertex.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]