descriptionPublicationkeyboard_double_arrow_right Article 01 Jul 2009 English Publisher:Elsevier BVJournal:Chaos, Solitons & Fractals, volume 41, pages 1-13 (issn: 0960-0779,

Authors: Ángel Plaza; Sergio Falcon;

doi: 10.1016/j.chaos.2007.11.011

handle: 10553/49155

The metallic ratios as limits of complex valued transformations

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Abstract

We study the presence of the metallic ratios as limits of two complex valued transformations. These complex variable functions are introduced and related with the two geometric antecedents for each triangle in a particular triangle partition, the four-triangle longest-edge (4TLE) partition. In this way, the fractality of a geometric diagram for the classes of dissimilar generated triangles is also explained.

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SCIE

Related Organizations

University of Las Palmas de Gran Canaria
Spain

Keywords

Fibonacci, 120504 Teoría elemental de los números, Triangular Grids, Golden Section

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