The Newton Fractal’s Leonardo Sequence Study with the Google Colab
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Francisco Regis Vieira Alves 1 * , Renata Passos Machado Vieira 1
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1 Federal Institute of Science and Technology of Ceara - IFCE, BRAZIL* Corresponding Author

Abstract

The work deals with the study of the roots of the characteristic polynomial derived from the Leonardo sequence, using the Newton fractal to perform a root search. Thus, Google Colab is used as a computational tool to facilitate this process. Initially, we conducted a study of the Leonardo sequence, addressing it fundamental recurrence, characteristic polynomial, and its relationship to the Fibonacci sequence. Following this study, the concept of fractal and Newton’s method is approached, so that it can then use the computational tool as a way of visualizing this technique. Finally, a code is developed in the Phyton programming language to generate Newton’s fractal, ending the research with the discussion and visual analysis of this figure. The study of this subject has been developed in the context of teacher education in Brazil.

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

INT ELECT J MATH ED, Volume 15, Issue 2, May 2020, Article No: em0575

https://doi.org/10.29333/iejme/6440

Publication date: 26 Dec 2019

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