%0 Journal Article %T An optimal algorithm to generate tilings %A S¨¦bastien Desreux %A Eric R¨¦mila %J Mathematics %D 2003 %I arXiv %X This article builds on Thurston's height functions. His tiling algorithm is reinterpreted using lattice theory and then generalized in order to generate any tiling of a hole-free region. Combined with a natural encoding of tilings by words, this allows the generation of a linear extension of the lattice of the tilings. %U http://arxiv.org/abs/math/0301188v1