<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this family of words a family of curves with interesting patterns.</p></abstract>

In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this family of words a family of curves with interesting patterns.

On the k-Fibonacci words

Instituto de Matemáticas y sus Aplicaciones Universidad Sergio Arboleda, Colombia

Departamento de Matemáticas Universidad Nációnál de Colombia, Colombia

Acta Universitatis Sapientiae, Informatica

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

{"article-title":"On the k-Fibonacci words"}

In this paper we define the k-Fibonacci words in analogy with the definition of the k-Fibonacci numbers. We study their properties and we associate to this...

On the k-Fibonacci words

Published Online: May 30, 2014

Page range: 212 - 226

Received: Jun 12, 2013

DOI: https://doi.org/10.2478/ausi-2014-0011

Keywords
Fibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

On the k-Fibonacci words

Published Online: May 30, 2014

Page range: 212 - 226

Received: Jun 12, 2013

DOI: https://doi.org/10.2478/ausi-2014-0011

KeywordsFibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves

© 2014

This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Keywords
Fibonacci word, k-Fibonacci numbers, k-Fibonacci words, k- Fibonacci curves