0 present participle of tile --
1 to cover a wall or floor with tiles: --
We're going to tile the bathroom.
Limits and boundaries of word and tiling substitutions.
How does the tiling behavior of astrocytes contribute to their interconnectivity?
We might want a tree of tilings or some other structure to represent the set of possible tilings.
A point in the inverse limit is then a consistent prescription for constructing a tiling out to infinity.
That means finding a way to generate each possible tiling just once.
We therefore have to show that a real set of steps can't be built by tiling according to our rules.
Roughly speaking, two tilings are close if they have the same pattern in a large neighborhood of the origin, up to a small translation.
For substitution minimal systems, flow equivalence is equivalent to the existence of an orientation preserving homeomorphism of the associated tiling spaces.
