The metallic ratios as limits of complex valued transformations

Sergio Falcón and Ángel Plaza

Chaos, Solitons & Fractals, 2009, vol. 41, issue 1, 1-13

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.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:1:p:1-13

DOI: 10.1016/j.chaos.2007.11.011

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