On functions which are limits of domino tilings

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.
Document type :
Reports
Complete list of metadatas

https://hal-lara.archives-ouvertes.fr/hal-02101982
Contributor : Colette Orange <>
Submitted on : Wednesday, April 17, 2019 - 9:11:20 AM
Last modification on : Wednesday, May 8, 2019 - 1:34:30 AM

File

RR1999-51.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02101982, version 1

Collections

Citation

Eric Remila. On functions which are limits of domino tilings. [Research Report] LIP RR-1999-51, Laboratoire de l'informatique du parallélisme. 1999, 2+13p. ⟨hal-02101982⟩

Share

Metrics

Record views

15

Files downloads

36