Small rhombic tesseractihexadecachoron

Small rhombic tesseractihexadecachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sirth
Elements
Cells	24 cubes, 16 cubohemioctahedra, 8 truncated octahedra
Faces	48+96 squares, 64 hexagons
Edges	96+192
Vertices	96
Vertex figure	Butterfly wedge, edge lengths √2 (bases and sides of outer triangles) and √3 (sides of inner triangles)
Measures (edge length 1)
Circumradius	$\sqrt3 ≈ 1.73205$
Dichoral angles	Cho–4–cube: 135°
	Cho–6–toe: 60°
	Toe–4–cube: 45°
Related polytopes
Army	Rico
Regiment	Rico
Conjugate	None
Convex core	Tesseract
Abstract properties
Euler characteristic	–32
Topological properties
Orientable	No
Properties
Symmetry	B4, order 384
Convex	No
Nature	Tame

The small rhombic tesseractihexadecachoron, or sirth, is a nonconvex uniform polychoron that consists of 8 truncated octahedra, 16 cubohemioctahedra, and 24 cubes. 2 of each type of cell 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" (#148).