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Coupling Patterns of External Arguments in the Multiple-Spiral Medallions of the Mandelbrot Set

AuthorsRomera, Miguel; Pastor, G.; Orúe, Amalia B.; Arroyo Guardeño, David ; Montoya Vitini, Fausto
Issue Date16-Nov-2009
PublisherHindawi Publishing Corporation
CitationDiscrete Dynamics in Nature and Society
Seriesvol. 2009
ID 135637
AbstractThe multiple-spiral medallions are beautiful decorations situated in the proximity of the small copies of the Mandelbrot set. They are composed by an infinity of babies Mandelbrot sets that have external arguments with known structure. In this paper we study the coupling patterns of the external arguments of the baby Mandelbrot sets in multiple-spiral medallions, that is, how these external arguments are grouped in pairs. Based on our experimental data, we obtain that the canonical nonspiral medallions have a nested pairs pattern, the canonical single-spiral medallions have an adjacent pairs pattern, and we conjecture that the canonical double, triple, quadruplespiral medallions have a 1-nested/adjacent pairs pattern.
Publisher version (URL)http://dx.doi.org/10.1155/2009/135637
Appears in Collections:(IFA) Artículos
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