Great cellated tesseractic tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Great cellated tesseractic tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGacotat
Coxeter diagramx4x3x3x4x ()
Elements
Tera3N octagonal duoprisms, 4N great rhombicuboctahedral prisms, N great disprismatotesseractihexadecachora
Cells24N cubes, 32N hexagonal prisms, 24N+24N octagonal prisms, 8N truncated octahedra, 8N great rhombicuboctahedra
Faces48N+48N+96N+96N squares, 64N hexagons, 48N octagons
Edges96N+192N+192N
Vertices192N
Vertex figurePhyllic disphenoidal pyramid, edge lengths 2 (6), 3 (2), and 2+2 (2)
Related polytopes
ArmyGacotat
RegimentGacotat
ConjugateQuasiquasicellated tesseractic tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryR5×2
ConvexYes
NatureTame

The great cellated tesseractic tetracomb or gacotat, also called the omnitruncated tesseractic tetracomb is a convex uniform tetracomb. 2 great disprismatotesseractihexadecachora, 2 great rhombicuboctahedral prisms, and 1 octagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the omnitruncation of the tesseractic tetracomb.

Vertex coordinates[edit | edit source]

The vertices of a great cellated 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]