[Submitted on 20 Feb 2025 (v1), last revised 23 Jul 2026 (this version, v3)]

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Abstract:We provide a bijection between a class of 3-dimensional pattern avoiding permutations and triangle bases, special sets of integer points arising from the theory of tilings and TEP subshifts. This answers a conjecture of Bonichon and Morel.

Submission history

From: Juliette Schabanel [view email]
[v1] Thu, 20 Feb 2025 15:52:07 UTC (277 KB)
[v2] Thu, 17 Apr 2025 08:12:30 UTC (277 KB)
[v3] Thu, 23 Jul 2026 10:23:48 UTC (492 KB)

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