On Functions Which are Limits of Domino Tilings

Eric Rémila ()
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Eric Rémila: ENS Lyon, LIP, umr 5668 CNRS

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 320-331 from Springer

Abstract: Abstract In this paper, we study domino tilings of polygons. We are especially interested in what happens when the domino prototiles become smaller and smaller. This study is done using tiling height functions, which are a numerical way to encode tilings. The main result of this paper is an analytic characterization of functions which are limits of height functions when the size of dominoes converges to 0. It is obtained from lattice properties of sets of tilings induced by height functions.

Keywords: Lattice Structure; Pairwise Disjoint; Lipschitz Condition; Height Difference; Height Function (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_29

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DOI: 10.1007/978-3-662-04166-6_29

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