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Title: The metallic ratios as limits of complex valued transformations
Authors: Falcón, Sergio 
Plaza, Ángel 
UNESCO Clasification: 120504 Teoría elemental de los números
Keywords: Triangular Grids
Golden Section
Issue Date: 2009
Project: Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento 
Journal: Chaos, Solitons and Fractals 
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.
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2007.11.011
Source: Chaos, Solitons and Fractals [ISSN 0960-0779], v. 41 (1), p. 1-13
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