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On the structure of Ammann A2 tilings

Durand, Bruno...

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On the structure of Ammann A2 tilings by Durand, Bruno ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-07-2023
Summary	We establish a structure theorem for the family of Ammann A2 tilings of the plane. Using that theorem we show that every Ammann A2 tiling is self-similar in the sense of [B. Solomyak, Nonperiodicity implies unique composition for self-similar translationally finite tilings, Discrete and Computational Geometry 20 (1998) 265-279]. By the same techniques we show that Ammann A2 tilings are not robust in the sense of [B. Durand, A. Romashchenko, A. Shen. Fixed-point tile sets and their applications, Journal of Computer and System Sciences, 78:3 (2012) 731--764].
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1112.2896

Citation

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AMA 11th EditionReferences

Durand, Bruno. On the structure of Ammann A2 tilings. Australian National University. July 04, 2023. Accessed November 10, 2024. https://online.provdatabase.com/cite/5234

APA 7th EditionReferences

Durand, Bruno. (2023). On the structure of Ammann A2 tilings. Australian National University. https://online.provdatabase.com/cite/5234

Chicago 17th EditionReferences

Durand, Bruno. On the structure of Ammann A2 tilings. Australian National University. 2023. https://online.provdatabase.com/cite/5234

HarvardReferences

Durand, Bruno. (2023). On the structure of Ammann A2 tilings. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/5234. (Accessed 10 November 2024).

Harvard AustraliaReferences

Durand, Bruno, 2023, On the structure of Ammann A2 tilings, Australian National University, viewed 10 November 2024, <https://online.provdatabase.com/cite/5234>

MLA 9th EditionWorks Cited

Durand, Bruno. On the structure of Ammann A2 tilings. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/5234.

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