Small retrofrustary pentishecatonicosihexacosichoron

Small retrofrustary pentishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sirfophix
Elements
Cells	120 did, 600 oct, 120 giddy, 120 saddid, 120 siid, 120 idtid
Faces	4800 triangles, 1440 pentagons, 1440 pentagrams, 3600 hexagons, 1440 decagons, 1440 decagrams
Edges	7200+7200
Vertices	3600
Vertex figure	Windowed rectangular frustrum
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Related polytopes
Army	Semi-uniform Xhi
Regiment	Affixthi
Conjugate	Sifophix
Abstract & topological properties
Euler characteristic	2160
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small retrofrustary pentishecatonicosihexacosichoron, or sirfophix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great dodecicosahedra, 120 small dodecicosidodecahedra, 120 small icosicosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. One dodecadodecahedron, one octahedron, two great dodecicosahedra, two small dodecicosidodecahedra, two small icosicosidodecahedra, and four icosidodecatruncated icosidodecahedra 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" (#726).