Great rhombated icositetrachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Great rhombated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymGricot
Coxeter diagramx3x4x3o3o ()
Elements
Tera24N tetrahedral prisms, 3N truncated tesseracts, N [[[great rhombated icositetrachoron|great rhombated icositetrachora]]
Cells48N tetrahedra, 96N triangular prisms, 24N truncated cubes, 12N great rhombicuboctahedra
Faces192N triangles, 144N squares, 32N hexagons, 72N octagons
Edges96N+96N+288N
Vertices192N
Vertex figureTriangular pyramidal pyramid, edge lengths 1 (base), 2 (sides of pyramid 1), 2+2 (sides of pyramid 2), and 3 (lacing between apices)
Related polytopes
ArmyGricot
RegimentGricot
ConjugateGreat quasirhombated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The great rhombated icositetrachoric tetracomb or gricot, also called the cantitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 3 great rhombated icositetrachora, 1 truncated tesseract, and 1 tetrahedral prism join at each vertex of this tessellation. As the name suggests, it is the cantitruncation of the icositetrachoric tetracomb.

External links[edit | edit source]