But also inﬁnitely often, much more on any interval of such an isocline than bases which succeed, the basis does not meet such legs.
About the domino problem in the hyperbolic plane, a new solution
Note that this is known by the seeds of the isocline 0.
About the domino problem in the hyperbolic plane, a new solution
If a seed of the isocline 0 receives the scent, it knows that it belongs to a branch which starts at least from the previous isocline 0.
About the domino problem in the hyperbolic plane, a new solution
But if the seed of the isocline 0 receives no scent, it knows that it starts a new branch. A covered basis goes on on each side of such a corner until it meets a corner, which must happen, as inﬁnitely many phantoms do exist within the considered latitude.
About the domino problem in the hyperbolic plane, a new solution
Moreover, the isocline number tells us also where we are.
About the domino problem in the hyperbolic plane, a new solution
It can be argued that the mantilla is not the single tiling where the isocline property occurs.
About the domino problem in the hyperbolic plane, a new solution
An isocline is inﬁnite and it splits the hyperbolic plane into two inﬁnite parts.
About the domino problem in the hyperbolic plane, a new solution: complement
The isoclines from the different trees match, even when the areas are disjoint.
About the domino problem in the hyperbolic plane, a new solution: complement
Lemma 5 Let the root of a tree of the mantil la T be on the isocline 0.
About the domino problem in the hyperbolic plane, a new solution: complement
Then, there is a seed in the area of T on the isocline 5.
About the domino problem in the hyperbolic plane, a new solution: complement
If an 8-centre A is on the isocline 0, starting from the isocline 4, there are seeds on al l the levels.
About the domino problem in the hyperbolic plane, a new solution: complement
From the isocline 10 there are seeds at a distance at most 20 from A.
About the domino problem in the hyperbolic plane, a new solution: complement
The basis is materialized by the trace of an isocline in the area of the trilateral.
About the domino problem in the hyperbolic plane, a new solution: complement
To synchronize the semi-inﬁnite models, bases of triangles which are on the same isocline merge.
About the domino problem in the hyperbolic plane, a new solution: complement
Note that inside a trilateral and between the same set of isoclines, there are several triangles of former generations.
About the domino problem in the hyperbolic plane, a new solution: complement
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