Intercepted invertipental hexacosidishecatonicosachoron

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Intercepted invertipental hexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymNipixady
Elements
Cells600 octahedra, 120 great dodecahedra, 120 small rhombicosidodecahedra
Faces1200+2400 triangles, 1800 squares, 1440 pentagons
Edges3600
Vertices720
Edge figureoct.srid.srid.gad.srid.srid.oct
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesOct–3–oct:
 Srid–4–srid: 90°
 Oct–3–srid:
 Gad–5–srid: 36°
Number of external pieces17520
Level of complexity33
Related polytopes
ArmyRox
RegimentRox
ConjugateCircumfacetopental hexacosidishecatonicosachoron
Convex coreHecatonicosachoron
Abstract & topological properties
Flag count100800
Euler characteristic3120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The intercepted invertopental hexacosidishecatonicosachoron, or nipixady, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 120 small rhombicosidodecahedra, and 600 octahedra. 2 great dodecahedra, 5 octahedra, and 10 small rhombicosidodecahedra join at each vertex.

It is superficially identical to the 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 the regiment colonel, the rectified hexacosichoron.

External links[edit | edit source]