BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE
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.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
CTU Central Library
2015-02-01
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| Series: | Acta Polytechnica |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2064 |
| _version_ | 1818853472497303552 |
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| author | José Luis Ramírez Gustavo Nevardo Rubiano |
| author_facet | José Luis Ramírez Gustavo Nevardo Rubiano |
| author_sort | José Luis Ramírez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-19T07:37:22Z |
| format | Article |
| id | doaj.art-8f5b0629c31a4c28b7c0e70069842237 |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-19T07:37:22Z |
| publishDate | 2015-02-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-8f5b0629c31a4c28b7c0e700698422372022-12-21T20:30:33ZengCTU Central LibraryActa Polytechnica1210-27091805-23632015-02-01551505810.14311/AP.2015.55.00502127BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVEJosé Luis Ramírez0Gustavo Nevardo Rubiano1Universidad Sergio ArboledaUniversidad Nacional de ColombiaIn 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.https://ojs.cvut.cz/ojs/index.php/ap/article/view/2064 |
| spellingShingle | José Luis Ramírez Gustavo Nevardo Rubiano BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE Acta Polytechnica |
| title | BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE |
| title_full | BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE |
| title_fullStr | BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE |
| title_full_unstemmed | BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE |
| title_short | BIPERIODIC FIBONACCI WORD AND ITS FRACTAL CURVE |
| title_sort | biperiodic fibonacci word and its fractal curve |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/2064 |
| work_keys_str_mv | AT joseluisramirez biperiodicfibonacciwordanditsfractalcurve AT gustavonevardorubiano biperiodicfibonacciwordanditsfractalcurve |