An optimal algorithm to generate tilings

Details An optimal algorithm to generate tilings An optimal algorithm to generate tilings

2003-01-17

arxiv.org/abs/math/0301188v1

Mathematics

Dynamical Systems

15 pages, presented at ALICE'03 (Baltimore)

Scientific paper

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.

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