Enviar artigo por via de e-mail On generalization of Sierpiński gasket in Lobachevskii plane
- Autores: Troshin P.1
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Afiliações:
- Kazan (Volga Region) Federal University
- Edição: Volume 38, Nº 4 (2017)
- Páginas: 751-762
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199754
- DOI: https://doi.org/10.1134/S1995080217040205
- ID: 199754
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Resumo
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.
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Sobre autores
P. Troshin
Kazan (Volga Region) Federal University
Autor responsável pela correspondência
Email: Paul.Troshin@gmail.com
Rússia, ul. Kremlevskaya 35, Kazan, 420008
