- International Electronic Journal of Geometry
- Vol: 16 Issue: 1
- Inversions and Fractal Patterns in Alpha Plane
Inversions and Fractal Patterns in Alpha Plane
Authors : Özcan Gelişgen, Temel Ermiş
Pages : 398-411
Doi:10.36890/iejg.1244520
View : 7 | Download : 4
Publication Date : 2023-04-30
Article Type : Research
Abstract :In this paper, we introduce the alpha circle inversion by using alpha distance function instead of Euclidean distance in definition of classical inversion. We give some proporties of alpha circle inversion. Also this new transformation is applied to well known fractals. Then new fractal patterns are obtained. Moreover we generalize the method called circle inversion fractal be means of the alpha circle inversion. In alpha plane, we give a generalization of alpha circle inversion fractal by using the concept of star-shaped set inversion which is a generalization of circle inversion fractal.Keywords : Alpha circle inverion, Alpha distance, Limit set, Fractal, Star-shaped set, Star-shaped set inversion, Alpha distance, Limit set, Fractal, Star-shaped set, Star-shaped set inversion