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

M. Romera | Zendy; G. Pastor | Zendy; Amalia B. Orúe | Zendy; David Arroyo | Zendy; F. Montoya | Zendy

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

Author(s) -

M. Romera,

G. Pastor,

Amalia B. Orúe,

David Arroyo,

F. Montoya

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/135637

Subject(s) - mandelbrot set , spiral (railway) , coupling (piping) , mathematics , infinity , pure mathematics , combinatorics , geometry , physics , fractal , mathematical analysis , materials science , metallurgy

The 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, quadruple-spiral medallions have a 1-nested/adjacent pairs pattern

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