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Natural Computing

10-05-2025

Polygonal corona limit on multigrid dual tilings

Authors: Victor Lutfalla, Kévin Perrot

Published in: Natural Computing

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Abstract

The article explores the fascinating world of edge-to-edge tilings, with a particular focus on the emergence of regular decagons in Penrose tilings. It introduces the concept of corona limits, which describe the growth patterns of these tilings as they expand from an initial patch of tiles. The study delves into the geometric and combinatorial properties of these tilings, revealing the underlying structures that give rise to their unique aesthetic and mathematical properties. The article provides a detailed analysis of the corona limits of multigrid dual tilings, offering a novel perspective on the growth forms of periodic and non-periodic structures. It also discusses the implications of these findings for the study of quasicrystals and other aperiodic structures, highlighting the potential for further research in this area. The article concludes with a discussion of the potential applications of these findings in the field of crystallography, as well as the broader implications for the study of geometric tilings and their growth patterns.
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Metadata
Title
Polygonal corona limit on multigrid dual tilings
Authors
Victor Lutfalla
Kévin Perrot
Publication date
10-05-2025
Publisher
Springer Netherlands
Published in
Natural Computing
Print ISSN: 1567-7818
Electronic ISSN: 1572-9796
DOI
https://doi.org/10.1007/s11047-025-10017-w

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