Small antifrustary trishecatonicosachoron

Small antifrustary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Safthi
Elements
Cells	120 great dodecicosidodecahedra, 120 great dodecicosahedra, 120 small icosicosidodecahedra
Faces	2400 triangles, 1440 pentagrams, 2400 hexagons, 1440 decagrams
Edges	7200+7200
Vertices	3600
Measures (edge length 1)
Circumradius	${\sqrt {5}}\approx 2.23607$
Dichoral angle	Gaddid–10/3–giddy: 144°
	Gaddid–3–siid: 120°
	Giddy–6–siid: 60°
Related polytopes
Army	Semi-uniform Xhi, edge lengths ${\sqrt {5}}-2$ (pentagons), ${\frac {3-{\sqrt {5}}}{2}}$ (triangles)
Regiment	Affixthi
Conjugate	Great retrofrustary trishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	–3480
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The small antifrustary trishecatonicosachoron, or safthi, is a nonconvex uniform polychoron that consists of 120 great dodecicosidodecahedra, 120 great dodecicosahedra, and 120 small icosicosidodecahedra. Two great dodecicosidodecahedra, two great dodecicosahedra, and two small icosicosidodecahedra 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" (#674).