Russian Federation
UDC 517.9
The article presents the results of a student research work that may be of interest to researchers in the field of algebraic fractals, along with developers of software for graphic and industrial design. Power fractals of Julia-Mandelbrot of various orders are studied from the perspective of multidimensional geometry.
algebraic fractals, Mandelbrot set, Julia set, "burning ship" 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. Labut' A. Snova o mnogomernosti mnozhestva Mandel'brota–Zhyulia [Elektronnyy resurs]. – URL: http://www.sciteclibrary.ru/texsts/rus/stat/st2526.htm. – Zagl. s ekrana (Data obrascheniya: 23.06.2025).
6. 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
7. 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
