Disicositetraquasitruncated disicositetrachoron

Disicositetraquasitruncated disicositetrachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Diquitdi
Coxeter diagram	x3x4/3x3o4/3*a4*c ()
Elements
Cells	24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, 24 cuboctatruncated cuboctahedra
Faces	192 triangles, 144 squares, 192 hexagons, 144 octagons, 144 octagrams
Edges	288+576+576
Vertices	576
Vertex figure	Crossed isosceles trapezoidal pyramid, base edge lengths 1, √2+√2, √2, √2+√2; lateral edge lengths √3, √3, √2–√2, √2–√2
Measures (edge length 1)
Circumradius	$\sqrt{4-\sqrt2} ≈ 1.60804$
Hypervolume	$168\sqrt2-139 ≈ 98.58788$
Dichoral angles	Socco–8–cotco: 135°
	Socco–3–quith: 120°
	Toe–6–cotco: 120°
	Socco–4–toe: 45°
	Quith–8/3–cotco: 45°
Related polytopes
Army	Semi-uniform Prico
Regiment	Suti
Conjugate	Disicositetratruncated disicositetrachoron
Abstract & topological properties
Euler characteristic	–144
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Tame

The disicositetraquasitruncated disicositetrachoron, or diquitdi, is a nonconvex uniform polychoron that consists of 24 truncated octahedra, 24 quasitruncated hexahedra, 24 small cubicuboctahedra, and 24 cuboctatruncated cuboctahedra. 1 quasitruncated hexahedron, 1 truncated octahedron, 1 small cubicuboctahedron, and 2 cuboctatruncated cuboctahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small tetrisicositetrachoron.

External links

• Bowers, Jonathan. "Category 10: Prismatorhombates" (#410).

• Klitzing, Richard. "diquitdi".