New fractals as images of classic fractals under a complex polynomial transformation

Segundo Basilio Correa-Erazo; Ricardo Velezmoro-Leon; Robert Ipanaque-Chero

doi:10.1109/INTERCON59652.2023.10326077

New fractals as images of classic fractals under a complex polynomial transformation

Segundo Basilio Correa-Erazo, Ricardo Velezmoro-Leon, Robert Ipanaque-Chero

Departamento Académico de Matemática

Universidad Nacional de Piura

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

Resumen

This paper proposes a new way of generating fractal sets using classic fractal sets and complex polynomial transformations. This study maps a classic fractal using a complex polynomial transformation, giving rise to a new fractal set. It is important to note that from a classic fractal, you can obtain different images that have the behavior of a fractal set, depending on the transformation used. The box count dimension method shows that the new images can be located within the Fractal Geometry since they are dimensioned fractional. This proposal generates a new class of fractal sets and opens up the possibility of new applications, considering the applications offered by classic fractal sets.

Idioma original	Inglés
Título de la publicación alojada	Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023
Editorial	Institute of Electrical and Electronics Engineers Inc.
ISBN (versión digital)	9798350315578
DOI	https://doi.org/10.1109/INTERCON59652.2023.10326077
Estado	Publicada - 2023
Evento	30th IEEE International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023 - Lima, Perú Duración: 2 nov. 2023 → 4 nov. 2023

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Nombre	Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023

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Conferencia	30th IEEE International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023
País/Territorio	Perú
Ciudad	Lima
Período	2/11/23 → 4/11/23

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10.1109/INTERCON59652.2023.10326077

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Correa-Erazo, S. B., Velezmoro-Leon, R., & Ipanaque-Chero, R. (2023). New fractals as images of classic fractals under a complex polynomial transformation. En Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023 (Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INTERCON59652.2023.10326077

Correa-Erazo, Segundo Basilio ; Velezmoro-Leon, Ricardo ; Ipanaque-Chero, Robert. / New fractals as images of classic fractals under a complex polynomial transformation. Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023).

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title = "New fractals as images of classic fractals under a complex polynomial transformation",

abstract = "This paper proposes a new way of generating fractal sets using classic fractal sets and complex polynomial transformations. This study maps a classic fractal using a complex polynomial transformation, giving rise to a new fractal set. It is important to note that from a classic fractal, you can obtain different images that have the behavior of a fractal set, depending on the transformation used. The box count dimension method shows that the new images can be located within the Fractal Geometry since they are dimensioned fractional. This proposal generates a new class of fractal sets and opens up the possibility of new applications, considering the applications offered by classic fractal sets.",

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Correa-Erazo, SB, Velezmoro-Leon, R & Ipanaque-Chero, R 2023, New fractals as images of classic fractals under a complex polynomial transformation. En Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023. Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023, Institute of Electrical and Electronics Engineers Inc., 30th IEEE International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023, Lima, Perú, 2/11/23. https://doi.org/10.1109/INTERCON59652.2023.10326077

New fractals as images of classic fractals under a complex polynomial transformation. / Correa-Erazo, Segundo Basilio; Velezmoro-Leon, Ricardo ; Ipanaque-Chero, Robert.
Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023. Institute of Electrical and Electronics Engineers Inc., 2023. (Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023).

Producción científica: Capítulo del libro/informe/acta de congreso › Contribución a la conferencia › revisión exhaustiva

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AB - This paper proposes a new way of generating fractal sets using classic fractal sets and complex polynomial transformations. This study maps a classic fractal using a complex polynomial transformation, giving rise to a new fractal set. It is important to note that from a classic fractal, you can obtain different images that have the behavior of a fractal set, depending on the transformation used. The box count dimension method shows that the new images can be located within the Fractal Geometry since they are dimensioned fractional. This proposal generates a new class of fractal sets and opens up the possibility of new applications, considering the applications offered by classic fractal sets.

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Correa-Erazo SB, Velezmoro-Leon R , Ipanaque-Chero R. New fractals as images of classic fractals under a complex polynomial transformation. En Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023. Institute of Electrical and Electronics Engineers Inc. 2023. (Proceedings of the 2023 IEEE 30th International Conference on Electronics, Electrical Engineering and Computing, INTERCON 2023). doi: 10.1109/INTERCON59652.2023.10326077

New fractals as images of classic fractals under a complex polynomial transformation

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