Russian Federation
Russian Federation
The article presents the results of student scientific work, which may be of interest to researchers in the field of algebraic fractals, as well as graphic and object design software developers. From the perspective of multidimensional geometry, some well-known fractal formulas are studied and new ones are proposed.
algebraic fractals, Mandelbrot set, Julia set
1. Orlova E.V., Chernova A.V. Geometricheskoe obobschenie nekotoryh algebraicheskih fraktal'nyh algoritmov // Energiya–2019 Materialy Chetyrnadcatoy vserossiyskoy (mezhdunarodnoy) nauchno–tehnicheskoy konferencii studentov, aspirantov i molodyh uchenyh. V 6–ti tomah. – Ivanovo, 2019. – T. 5. – S. 99.
2. 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.
3. Shkilevich A.A. Graficheskoe issledovanie funkciy kompleksnogo peremennogo // Trinadcataya mezhdunarodnaya nauch.–tehn. konferenciya studentov, aspirantov i molodyh uchenyh «Energiya–2018»: Materialy konferencii. T. 5. Ivanovo: FGBOU VO «Ivanovskiy gosudarstvennyy energeticheskiy universitet im. V.I. Lenina», 2018. S. 135.
4. Shkilevich A. A. K issledovaniyu fraktal'nyh obrazov mnozhestv Zhulia-Mandel'brota // Zhurnal estestvennonauchnyh issledovaniy. 2024. T. 9, №2. S. 31–37.
5. Boykov A.A. O fraktal'nyh setkah // Innovacionnye tehnologii v inzhenernoy grafike: problemy i perspektivy : sbornik trudov Mezhdunarodnoy nauchno-prakticheskoy konferencii 24 aprelya 2024 goda Brest, Respublika Belarus' Novosibirsk, Rossiyskaya Federaciya. Brest : BrGTU, 2024. S. 17–20.
6. 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
7. 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
8. 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.