This tiling is called a hyperbolic soccerball for its similarity to the truncated icosahedron pattern used on soccer balls. Small portions of it as a hyperbolic surface can be constructed in 3-space.
A truncated icosahedron as a polyhedron and a ball |
Euclidean hexagonal tiling colored as truncated triangular tiling |
A paper construction of a hyperbolic soccerball |
Read more about this topic: Order-7 Truncated Triangular Tiling