Russian Federation
UDC 74
The article presents the results of a student research work performed within the practice-oriented approach used at the Department of Engineering Graphics of MIREA - Russian Technological University. The properties of the parameter space of the generative procedure known as the classical Martin's attractor (hopalong) are investigated. The results may be of interest to mathematicians, as well as artists and designers using generative art techniques.
algebraic fractals, Martin's attractors, hopalongs, generative art, graphic design
1. Boykov A. A., Boykova N. A. O hopalongah // Geometriya i grafika. 2025. №2. S. 3-15. DOI:https://doi.org/10.12737/2308-4898-2025-13-2-30-15 EDN: https://elibrary.ru/JJUJZU
2. Dewdney A.K. Computer recreations // Scientific American. 1986. Vol. 255, No. 3 (Sep tember). Pp. 14–23. DOI: https://doi.org/10.1038/scientificamerican0986-14
3. Martin B. Graphic Potential of Recursive Functions // Computers in Art, Design and Animation. New York: Springer-Verlag, 1989. e-ISBN-13: 978-1-4612-4538-4. Pp. 109–129. DOI: https://doi.org/10.1007/978-1-4612-4538-4_8
4. 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.
5. 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
6. Pickover C.A. Strange Attractors: Creating Patterns in Chaos // New York: M&T Books, 1993. Pp. 50-74.
7. 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
