Affiliation:
1. Institute of Computer Science, University of Silesia, Bȩdzińska 39, 41-200 Sosnowiec, Poland
Abstract
In the paper, we generalized the idea of circle inversion to star-shaped sets and used the generalized inversion to replace the circle inversion transformation in the algorithm for the generation of the circle inversion fractals. In this way, we obtained the star-shaped set inversion fractals. The examples that we have presented show that we were able to obtain very diverse fractal patterns by using the proposed extension and that these patterns are different from those obtained with the circle inversion method. Moreover, because circles are star-shaped sets, the proposed generalization allows us to deform the circle inversion fractals in a very easy and intuitive way.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Geometry and Topology,Modeling and Simulation
Cited by
10 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Inversion and Stereographic Projection;Birkhäuser Advanced Texts Basler Lehrbücher;2024
2. ON THE MAXIMUM CIRCULAR INVERSES OF MAXIMUM CIRCLES;Eskişehir Technical University Journal of Science and Technology A - Applied Sciences and Engineering;2023-12-27
3. A Note on the Maximum Circle Inverses of Lines in the Maximum Plane;Ikonion Journal of Mathematics;2023-11-20
4. Inversions and Fractal Patterns in Alpha Plane;International Electronic Journal of Geometry;2023-04-30
5. Maksimum Küresel İnversiyonlar Üzerine;Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi;2022-03-27