Contractions of octagonal tilings with rhombic tiles.

Abstract : We prove that the space of rhombic tilings of a fixed octagon can be given a canonical order structure. We make a first study of this order, proving that it is a graded poset. As a consequence, we obtain the diameter of the space and a lower bound for the distance between tilings.
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Frédéric Chavanon, Eric Remila. Contractions of octagonal tilings with rhombic tiles.. [Research Report] LIP RR-2003-44, Laboratoire de l'informatique du parallélisme. 2003, 2+12p. ⟨hal-02101891⟩

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