Small retrofrustary hexacosidishecatonicosachoron

Small retrofrustary hexacosidishecatonicosachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirfixady
Elements
Cells	120 giid, 120 srid, 600 toe
Faces	2400 triangles, 3600 squares, 1440 pentagons, 3600 hexagons
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Girfixady
Abstract & topological properties
Euler characteristic	–600
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small retrofrustary hexacosidishecatonicosachoron, or sirfixady, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 120 small rhombicosidodecahedra, and 600 truncated octahedra. Two great icosicosidodecahedra, two small rhombicosidodecahedra, and four truncated octahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 16: Affixthi Regiment" (#692).