0 present participle of tile
1 to cover a wall or floor with tiles:
We're going to tile the bathroom.
Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer-impedances.
Proposition 3.15 allows us to assume that the basic regions come equipped with an approximately alternating grid tiling.
Then by symmetry you get exactly half the possible tilings, so double the final answer.
Only the last one can be made into a genuine self-similar tiling, although all variants are closely related.
If a tiling is given, the atomic arrangement can be formed by placing atoms at the vertices.
To get an idea of what these tiling spaces look like, consider the substitution on two letters given by (1) = 12, (2) = 122.
We investigate the consequences of assuming one or the other of these notions of isomorphism for such tilings.
For substitution minimal systems, flow equivalence is equivalent to the existence of an orientation preserving homeomorphism of the associated tiling spaces.