Tilings from graph directed iterated function systems

Author:

Barnsley Michael,Vince AndrewORCID

Funder

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference43 articles.

1. Akiyama, S., Sadahiro, T.: A self-similar tiling generated by the minimal Pisot number. In: Proceedings of the 13th Czech and Slovak International Conference on Number Theory, Ostravice, 1997. Acta Mathematica Informatica Universitatis Ostraviensis 6, 9–26 (1998)

2. Anderson, J.E., Putnam, I.F.: Topological invariants for substitution tilings and their associated C$$^{\ast }$$-algebras. Ergod. Theory Dyn. Syst. 18, 509–537 (1998)

3. Bandt C.: Self-Similar Sets 5. Integer Matrices and fractal tilings of $${\mathbb{R}}^{n}$$. In: Proceedings of the AMS, 112 549–562, (1991)

4. Bandt, C., Gummelt, P.: Fractal Penrose tilings I: construction and matching rules. Aequ. Math. 53, 295–307 (1997)

5. Barnsley, M.F.: Fractals Everywhere, 2nd edn. Academic Press, Boston (1993)

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Tiling iterated function systems;Chaos, Solitons & Fractals;2024-05

2. An application of Edelstein’s contraction principle: the attractor of a graph-directed generalized iterated function system;Journal of Fixed Point Theory and Applications;2022-09

3. Multiscale substitution tilings;Proceedings of the London Mathematical Society;2021-04-19

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