Inverted retropental prismatointercepted dishecatonicosachoron

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Inverted retropental prismatointercepted dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymIrp panady
Elements
Cells
Faces
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Central density989
Number of external pieces140640
Level of complexity356
Related polytopes
ArmyRox
RegimentRigfix
ConjugatePaphiny
Convex coreJoined hexacosichoron
Abstract & topological properties
Flag count115200
Euler characteristic2520
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits8
ConvexNo
NatureWild

The inverted retropental prismatointercepted dishecatonicosachoron, or irp panady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagrammic prisms, and 120 great dodecicosidodecahedra. Two great icosahedra, ten pentagrammic prisms, and ten great 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 faceted hexacosichoron.

External links[edit | edit source]