Great tesseractifaceted cubitesseractihexadecachoron

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Great tesseractifaceted cubitesseractihexadecachoron
Rank4
TypeUniform
Notation
Bowers style acronymGittifcoth
Coxeter diagram
Elements
Cells16 tetrahedra, 24 cubes, 8 quasirhombicuboctahedra
Faces64 triangles, 48+96 squares
Edges96+96
Vertices64
Vertex figureTriangular hemipodium, edge lengths 1 (top triangle) and 2 (base pseudo-triangle and sides)
Measures (edge length 1)
Circumradius
Dichoral anglesQuerco–3–tet: 120°
 Querco–4–cube #1: 90°
 Querco–4–cube #2: 45°
Number of external pieces2968
Level of complexity361
Related polytopes
ArmyTat, edge length
RegimentGittith
ConjugateSmall tesseractifaceted cubitesseractihexadecachoron
Abstract & topological properties
Flag count3072
Euler characteristic32
OrientableNo
Properties
SymmetryB4, order 384
ConvexNo
NatureTame

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[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]