Email this article On generalization of Sierpiński gasket in Lobachevskii plane
- Authors: Troshin P.I.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 38, No 4 (2017)
- Pages: 751-762
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199754
- DOI: https://doi.org/10.1134/S1995080217040205
- ID: 199754
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Abstract
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.
About the authors
P. I. Troshin
Kazan (Volga Region) Federal University
Author for correspondence.
Email: Paul.Troshin@gmail.com
Russian Federation, ul. Kremlevskaya 35, Kazan, 420008
