Russian Federation
The article presents the results of student research work, which may be of interest to researchers in the field of algebraic fractals, as well as developers of software for graphic and object design. From the perspective of multidimensional geometry, a variety of the power Julia-Mandelbrot fractal, known as Newton basins or the Newton fractal, of different orders is investigated.
algebraic fractals, Mandelbrot set, Julia set, Newton basins fractal
1. Boykov A.A., Orlova E.V., Chernova A.V., Shkilevich A.A. O sozdanii fraktal'nyh obrazov dlya dizayna i poligrafii i nekotoryh geometricheskih obobscheniyah, svyazannyh s nimi // Problemy kachestva graficheskoy podgotovki studentov v tehnicheskom vuze: tradicii i innovacii. Materialy VIII Mezhdunarodnoy nauchno-prakticheskoy internet-konferencii, fevral' – mart 2019 g. – Perm': PNIPU, 2019. – S. 325–339.
2. Boykov A.A., Efremov A.V., Rustamyan V.V. O studencheskoy nauchno-issledovatel'skoy rabote na geometro-graficheskih kafedrah // Geometriya i grafika. 2023. №. 4. S. 61-75. DOI:https://doi.org/10.12737/2308-4898-2024-11-4-61-75. EDN: https://elibrary.ru/ALMTNH
3. Vyshnepol'skiy V.I., Boykov A.A., Egiazaryan K.T., Kadykova N.S. Metodicheskaya sistema provedeniya zanyatiy na kafedre «Inzhenernaya grafika» RTU MIREA // Geometriya i grafika. 2023. №. 1. S. 23-34. DOI:https://doi.org/10.12737/2308-4898-2023-11-1-23-34. EDN: https://elibrary.ru/BCSTZQ
4. Vyshnepol'skiy V.I., Boykov A.A., Egiazaryan K.T., Efremov A.V. Nauchno-issledovatel'skaya rabota na kafedre «Inzhenernaya grafika» RTU MIREA // Geometriya i grafika. 2023. №. 1. S. 70-85. DOI:https://doi.org/10.12737/2308-4898-2023-11-1-70-85. EDN: https://elibrary.ru/TGIBWG
5. Orlova E.V., Chernova A.V. Issledovanie algebraicheskih fraktalov s pozicii mnogomernoy geometrii // Zhurnal estestvennonauchnyh issledovaniy. 2024. T.9, №4. S. 64–71. EDN: https://elibrary.ru/QTHAIE
6. Shkilevich A.A. K issledovaniyu fraktal'nyh obrazov mnozhestv Zhulia-Mandel'brota // Zhurnal estestvennonauchnyh issledovaniy. 2024. T. 9, №2. S. 31–37. EDN: https://elibrary.ru/YDBZJQ
