Geodesic
Tilings of a Domain on a Hexagon Mesh with Balanced 3-Tiles
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001).

Voir la notice de l'article provenant de la source Episciences

In this article, we study the question of tilings on a hexagon mesh with balanced 3-tiles. This problem has been studied by Conway and Lagarias in [CL90], by studying the tiling groups, in fact a group containing the tiling-groups, and their Cayley graphs. We will use two different approaches. The first one is based on matchings in bipartite graphs, which in this case are in correspondance with tilings of domains by lozenges, and thus can be efficiently studied, using Thurston's algorithm (see [Thu90]). The second one is based on a color and balancing approach of Thurston's algorithm, exposed in [Fou96]. 
@article{DMTCS_2001_special_246_a10,
     author = {Radenne, Gilles},
     title = {Tilings of a {Domain} on a {Hexagon} {Mesh} with {Balanced} {3-Tiles}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)},
     year = {2001},
     doi = {10.46298/dmtcs.2287},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2287/}
}
TY  - JOUR
AU  - Radenne, Gilles
TI  - Tilings of a Domain on a Hexagon Mesh with Balanced 3-Tiles
JO  - Discrete mathematics & theoretical computer science
PY  - 2001
VL  - DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2287/
DO  - 10.46298/dmtcs.2287
LA  - en
ID  - DMTCS_2001_special_246_a10
ER  - 
%0 Journal Article
%A Radenne, Gilles
%T Tilings of a Domain on a Hexagon Mesh with Balanced 3-Tiles
%J Discrete mathematics & theoretical computer science
%D 2001
%V DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001)
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2287/
%R 10.46298/dmtcs.2287
%G en
%F DMTCS_2001_special_246_a10
Radenne, Gilles. Tilings of a Domain on a Hexagon Mesh with Balanced 3-Tiles. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001), DMTCS Proceedings vol. AA, Discrete Models: Combinatorics, Computation, and Geometry (DM-CCG 2001) (2001). doi : 10.46298/dmtcs.2287. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2287/

Cité par Sources :