Hexadecintercepted tesseract

Hexadecintercepted tesseract
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Hinnit
Elements
Cells	16 truncated tetrahedra 8 cuboctahedra
Faces	64 triangles, 24 squares, 32 hexagons
Edges	96
Vertices	32
Vertex figure	Triangular toroprism, edge lengths 1 (base edges), √2 (sides of rectangles), and √3 (sides of triangles)
Edge figure	co 4 co 3 tut 6 tut 6 tut 3
Measures (edge length 1)
Circumradius	${\frac {\sqrt {6}}{2}}\approx 1.22475$
Hypervolume	${\frac {43}{6}}\approx 7.16667$
Dichoral angle	Co–4–co: 90° Co–3–tut: 60° Tut–6–tut: 60°
Central density	5
Number of external pieces	72
Level of complexity	6
Related polytopes
Army	Rit
Regiment	Rit
Conjugate	None
Convex core	Hexadecachoron
Abstract & topological properties
Flag count	1920
Euler characteristic	32
Orientable	Yes
Properties
Symmetry	B4, order 384
Flag orbits	5
Convex	No
Nature	Wild

The hexadecintercepted tesseract, or hinnit, is a nonconvex uniform polychoron that consists of 8 cuboctahedra and 16 truncated tetrahedra. 3 cuboctahedra and 6 truncated tetrahedra join at each vertex.

It is wild because it has cuboctahedra intercepted by hexagons.

It also has 16 tetrahedra as pseudofacets.

Gallery

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 3: Triangular Rectates" (#44).

• Klitzing, Richard. "hinnit".