Celligreatorhombated tesseractic tetracomb

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Celligreatorhombated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCagratit
Coxeter diagramx4x3x3o4x ()
Elements
Tera6N square-octagonal duoprisms, 4N small rhombicuboctahedral prisms, 4N great rhombicuboctahedral prisms, N great rhombated tesseracts, N prismatorhombated tesseracts
Cells32N triangular prisms, 24N+24N+48N cubes, 32N hexagonal prisms, 16N truncated tetrahedra, 24N octagonal prisms, 8N small rhombicuboctahedra, 8N great rhombicuboctahedra
Faces64N triangles, 48N+96N+96N+96N+96N squares, 64N hexagons, 24N octagons
Edges96N+96N+192N+192N
Vertices192N
Vertex figureIsosceles trapezoidal pyramidal pyramid, base edge lengths 1, 2, 2, 2, remaining edge lengths 2 (6), 3 (2), and 2+2 (1)
Related polytopes
ArmyCagratit
RegimentCagratit
ConjugateQuasicelligreatoquasirhombated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5
ConvexYes
NatureTame

The celligreatorhombated tesseractic tetracomb or cagratit, also called the stericantitruncated tesseractic tetracomb, is a convex uniform tetracomb. 1 great rhombated tesseract, 1 prismatorhombated tesseract, 1 small rhombicuboctahedral prism, 2 great rhombicuboctahedral prisms, and 1 square-octagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the stericantitruncation of the tesseractic tetracomb.

Vertex coordinates[edit | edit source]

The vertices of a celligreatorhombated tesseractic tetracomb of edge length 1 are given by all permutations of:

  • ,

where i , j , k , and l  range over the integers.

External links[edit | edit source]