Invertipental hexacosidishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Invertipental hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymIpixady
Elements
Cells
Faces
Edges3600
Vertices720
Edge figureoct.saddid.saddid.gad.saddid.saddid.oct
Measures (edge length 1)
Circumradius
Number of external pieces17520
Level of complexity33
Related polytopes
ArmyRox
RegimentRox
ConjugateOmnicircumfacetopental hexacosidishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count100800
Euler characteristic2040
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits7
ConvexNo
NatureWild

The invertipental hexacosidishecatonicosachoron, or ipixady, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 120 small dodecicosidodecahedra, and 600 octahedra. Two great dodecahedra, ten small dodecicosidodecahedra, and five octahedra join at each vertex.

It is superficially identical to the intercepted invertopental hexacosidishecatonicosachoron, differing only internally.

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 hexacosichoron.

External links[edit | edit source]