BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE

Authors

  • José Luis Ramírez Universidad Sergio Arboleda, Instituto de Matemáticas y sus Aplicaciones
  • Gustavo Nevardo Rubiano Universidad Nacional de Colombia, Departamento de Matemáticas

DOI:

https://doi.org/10.14311/AP.2015.55.0050

Abstract

In this paper, we introduce a word-combinatorial interpretation of the biperiodic Fibonacci sequence. We study some properties of this new family of infinite words. Moreover,  we associate to this family of words a family of curves with interesting patterns.

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Published

2015-02-28

Issue

Vol. 55 No. 1 (2015)

Section

Articles

How to Cite

Ramírez, J. L., & Rubiano, G. N. (2015). BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE. Acta Polytechnica, 55(1), 50-58. https://doi.org/10.14311/AP.2015.55.0050
Received 2014-04-01
Accepted 2015-01-08
Published 2015-02-28