Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/49160
Title: On the 3-dimensional k-Fibonacci spirals
Authors: Falcón, Sergio 
Plaza, Ángel 
UNESCO Clasification: 120504 Teoría elemental de los números
Keywords: 2-Slit Experiment
Numbers
Dodecahedron
Particles
Spacetime, et al
Issue Date: 2008
Project: Mtm2005-08441-C02-02. Particiones Triangulares y Algoritmos de Refinamiento 
Journal: Chaos, Solitons and Fractals 
Abstract: The 3-dimensional k-Fibonacci spirals are studied from a geometric point of view. These curves appear naturally from studying the k-Fibonacci numbers {F-k,F-n}(n=0)(infinity) and the related hyperbolic k-Fibonacci functions. In this paper, after a summary of the main properties for the k-Fibonacci numbers, we focus on the geometry features (curvature and torsion) of the 3-dimensional k-Fibonacci spirals. Finally, the Metallic Shofars and their projections on the coordinate planes are also given.
URI: http://hdl.handle.net/10553/49160
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2007.02.009
Source: Chaos, Solitons and Fractals [ISSN 0960-0779], v. 38 (4), p. 993-1003
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