Topological substitutions and Rauzy fractals Auteur(s): Bedaride N., Hilion A., Jolivet Timo
Ref HAL: hal-01322691_v1 Ref Arxiv: 1603.02790 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote Résumé: We consider two families of planar self-similar tilings of different nature: the tilings consisting of translated copies of the fractal sets defined by an iterated function system, and the tilings obtained as a geometrical realization of a topological substitution (an object of purely combinatorial nature). We establish a link between the two families in a specific case, by defining an explicit topological substitution and by proving that it generates the same tilings as those associated with the Tribonacci Rauzy fractal. Commentaires: 27 pages, 13 figures. arXiv admin note: text overlap with arXiv:1101.3905 |