Hyperbolic tilings and formal language theory
Maurice Margenstern (Universit\'e de Lorraine), K.G. Subramamian, (Universiti Sains Malaysia)
TL;DR
This paper explores the relationship between hyperbolic tilings and formal language theory, aiming to classify languages related to hyperbolic tessellations.
Contribution
It introduces a framework for associating formal languages with hyperbolic tessellations, bridging geometry and language theory.
Findings
Identifies classes of languages linked to hyperbolic tilings
Provides a formal classification of tessellation-related languages
Establishes connections between hyperbolic geometry and formal language classes
Abstract
In this paper, we try to give the appropriate class of languages to which belong various objects associated with tessellations in the hyperbolic plane.
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Taxonomy
Topicssemigroups and automata theory · Advanced Combinatorial Mathematics · Mathematical Dynamics and Fractals