Hexadecintercepted prismatotesseractihexadecachoron

Hexadecintercepted prismatotesseractihexadecachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Hinpith
Elements
Cells	24 cubes, 8 cuboctahedra, 16 octahemioctahedra, 16 truncated octahedra
Faces	32+64 triangles, 48+96 squares, 32+64 hexagons
Edges	96+192
Vertices	96
Vertex figure	Windowed wedge, edge lengths 1 (3), √2 (6), and √3 (6)
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Hypervolume	$\frac{49}{3} ≈ 16.33333$
Dichoral angles	Oho–3–oho: 120°
	Oho–3–co: 120°
	Co–4–toe: 90°
	Toe–6–toe: 60°
	Oho–6–toe: 60°
	Toe–4–cube: 45°
Related polytopes
Army	Rico
Regiment	Rico
Conjugate	None
Convex core	Hexadecachoron
Abstract properties
Euler characteristic	80
Topological properties
Orientable	Yes
Properties
Symmetry	B4, order 384
Convex	No
Nature	Wild

The hexadecintercepted prismatotesseractihexadecachoron, or hinpith, is a nonconvex uniform polychoron that consists of 8 cuboctahedra, 16 octahemioctahedra, 24 cubes, and 16 truncated octahedra. One cuboctahedron, two octahemioctahedra, two cubes, and four truncated octahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 6: Sphenoverts" (#150).