Wildest SL2-tilings

Tame SL 2 -tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL 2 -tilings. In this note, we demonstrate SL 2 -tilings that are maximally wild: we prove that the maximum wild density of an integer SL 2 -tiling is 2 5 and present SL 2 -tilings over Z / N Z with wild density 1.

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Publication Details

Journal
Examples and Counterexamples
Published
2025-11-05
DOI
https://doi.org/10.1016/j.exco.2025.100206
Primary Topic
Cellular Automata and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Wildest SL2-tilings

Andrei Zabolotskii
Examples and Counterexamples
Cellular Automata and Applications
article

Wildest SL2-tilings

Andrei Zabolotskii
article en

Abstract

Tame SL 2 -tilings are related to Farey graph and friezes; much less is known about wild (not tame) SL 2 -tilings. In this note, we demonstrate SL 2 -tilings that are maximally wild: we prove that the maximum wild density of an integer SL 2 -tiling is 2 5 and present SL 2 -tilings over Z / N Z with wild density 1.

Examples and CounterexamplesVol. 8
The Open University (GB)
Openalex Percentile: Top 66%
Cellular Automata and Applications
DOIOpen Access PDFOpenAlex
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Wildest SL2-tilings — Andrei Zabolotskii · Examples and Counterexamples (2025) | TGRS Research Map | TGRS