Disicositetrintercepted disicositetrachoron

The disicositetrintercepted disicositetrachoron, or dindi, is a nonconvex uniform polychoron that consists of 24 cuboctahedra, 24 small rhombicuboctahedra, 24 truncated cubes, and 24 great rhombicuboctahedra. One cuboctahedron, two small rhombicuboctahedra, two truncated cubes, and four great rhombicuboctahedra join at each vertex.

Disicositetrintercepted disicositetrachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dindi
Elements
Cells	24 cuboctahedra, 24 truncated cubes, 24 small rhombicuboctahedra, 24 great rhombicuboctahedra
Faces	96+192 triangles, 144+288 squares, 96 hexagons, 144 octagons
Edges	288+576
Vertices	288
Vertex figure	Inverted wedge, edge lengths 1 (3), √2 (6), √3 (2), and √2+√2 94)
Measures (edge length 1)
Circumradius	$\sqrt{4+2\sqrt2} \approx 2.61313$
Hypervolume	$3(101+72\sqrt2) ≈ 408.47013$
Dichoral angles	Sirco–4–co: 135°
	Sirco–3–sirco: 120°
	Girco–6–girco: 120°
	Co–3–tic: 120°
	Tic–8–girco: 90°
	Sirco–4–girco: 90°
Related polytopes
Army	Srico
Regiment	Srico
Conjugate	Icositetrintercepted trisicositetrachoron
Convex core	Icositetrachoron
Abstract & topological properties
Euler characteristic	288
Orientable	Yes
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

Vertex coordinates

The vertices are the same as those of the regiment colonel, the small rhombated icositetrachoron.

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#156).