Small invertifrustary tetrishecatonicosihexacosichoron

Small invertifrustary tetrishecatonicosihexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Sifuthix
Elements
Cells	120 did, 600 oct, 120 gaddid, 120 saddid, 120 quitdid
Faces	4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 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	None
Abstract & topological properties
Euler characteristic	480
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The small invertifrustary tetrishecatonicosihexacosichoron, or sifuthix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great dodecicosidodecahedra, 120 small dodecicosidodecahedra, and 120 quasitruncated dodecadodecahedra. One dodecadodecahedron, one octahedron, two great dodecicosidodecahedra, two small dodecicosidodecahedra, and four quasitruncated dodecadodecahedra 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" (#719).