Great tesseractifaceted cubitesseractihexadecachoron

Great tesseractifaceted cubitesseractihexadecachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gittifcoth
Coxeter diagram
Elements
Cells	16 tetrahedra, 24 cubes, 8 quasirhombicuboctahedra
Faces	64 triangles, 48+96 squares
Edges	96+96
Vertices	64
Vertex figure	Triangular hemipodium, edge lengths 1 (top triangle) and √2 (base pseudo-triangle and sides)
Measures (edge length 1)
Circumradius	$\sqrt{\frac{3-\sqrt2}{2}} ≈ 0.89045$
Dichoral angles	Querco–3–tet: 120°
	Querco–4–cube #1: 90°
	Querco–4–cube #2: 45°
Number of external pieces	2968
Level of complexity	361
Related polytopes
Army	Tat
Regiment	Gittith
Conjugate	Small tesseractifaceted cubitesseractihexadecachoron
Abstract & topological properties
Euler characteristic	32
Orientable	No
Properties
Symmetry	B4, order 384
Convex	No
Nature	Tame

The great tesseractifaceted cubitesseractihexadecachoron, or gittifcoth, is a nonconvex uniform polychoron that consists of 8 quasirhombicuboctahedra, 16 tetrahedra, and 24 cubes. Three quasirhombicuboctahedra, one tetrahedron, and three cubes join at each vertex.

It also has 8 cubes and 32 triangular prisms as pseudofacets.

Gallery

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great tesseractitesseractihexadecachoron.

External links

• Bowers, Jonathan. "Category 12: Podiumverts" (#487).

• Klitzing, Richard. "gittifcoth".