Circumfacetopental hexacosidishecatonicosachoron

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Circumfacetopental hexacosidishecatonicosachoron
Mif pixady-slices.gif
Rank4
TypeUniform
SpaceSpherical
Bowers style acronymMif pixady
Elements
Cells120 sissid, 600 oct, 120 qrid
Faces3600 triangles, 1800 squares, 1440 pentagrams
Edges3600
Vertices720
Measures (edge length 1)
Circumradius
Euler characteristic3120
Number of pieces116640
Level of complexity330
Related polytopes
ArmyRox
RegimentRigfix
ConjugateNipixady
Convex coreHecatonicosachoron
Topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The circumfacetopental hexacosidishecatonicosachoron, or mif pixady, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 octahedra, and 120 quasirhombicosidodecahedra. Two small stellated dodecahedra, five octahedra, and ten quasirhombicosidodecahedra join at each vertex.

It also has great icosidodecahedra as pseudofacets.

Gallery[edit | edit source]

Rigfix-reg.png

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.

External links[edit | edit source]