On generalization of Sierpiński gasket in Lobachevskii plane
- Авторлар: Troshin P.1
-
Мекемелер:
- Kazan (Volga Region) Federal University
- Шығарылым: Том 38, № 4 (2017)
- Беттер: 751-762
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199754
- DOI: https://doi.org/10.1134/S1995080217040205
- ID: 199754
Дәйексөз келтіру
Аннотация
We construct an analogue of Sierpiński gasket in Lobachevskii plane by means of iterated function system with maps from a transformation group of this space. The investigation of a new family of attractors and a Mandelbrot set associated with it reveals higher capacity of Lobachevskii geometry compared to that of Euclid.
Негізгі сөздер
Авторлар туралы
P. Troshin
Kazan (Volga Region) Federal University
Хат алмасуға жауапты Автор.
Email: Paul.Troshin@gmail.com
Ресей, ul. Kremlevskaya 35, Kazan, 420008