Circumfacetopental hexacosidishecatonicosachoron

Circumfacetopental hexacosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Mif pixady
Elements
Cells	120 small stellated dodecahedra 600 octahedra 120 quasirhombicosidodecahedra
Faces	1440 pentagrams 3600 triangles 1800 squares
Edges	3600
Vertices	720
Measures (edge length 1)
Circumradius	${\sqrt {5-2{\sqrt {5}}}}\approx 0.72654$
Central density	490
Number of external pieces	116640
Level of complexity	330
Related polytopes
Army	Rox
Regiment	Rigfix
Conjugate	Nipixady
Convex core	Hecatonicosachoron
Abstract & topological properties
Flag count	100800
Euler characteristic	3120
Orientable	Yes
Properties
Symmetry	H4, order 14400
Flag orbits	7
Convex	No
Nature	Wild

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

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#130).

• Klitzing, Richard. "mif pixady".