On generalization of Sierpiński gasket in Lobachevskii plane
- 作者: Troshin P.1
-
隶属关系:
- Kazan (Volga Region) Federal University
- 期: 卷 38, 编号 4 (2017)
- 页面: 751-762
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199754
- DOI: https://doi.org/10.1134/S1995080217040205
- ID: 199754
如何引用文章
详细
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.
作者简介
P. Troshin
Kazan (Volga Region) Federal University
编辑信件的主要联系方式.
Email: Paul.Troshin@gmail.com
俄罗斯联邦, ul. Kremlevskaya 35, Kazan, 420008