On the 3-dimensional k-Fibonacci spirals

Sergio Falcón and Ángel Plaza

Chaos, Solitons & Fractals, 2008, vol. 38, issue 4, 993-1003

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 {Fk,n}n=0∞ 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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:4:p:993-1003

DOI: 10.1016/j.chaos.2007.02.009

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