Inversions and Fractal Patterns in Alpha Plane

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International Electronic Journal of Geometry
Volume:16 Issue:1
Inversions and Fractal Patterns in Alpha Plane

Inversions and Fractal Patterns in Alpha Plane

Authors : Özcan GELİŞGEN, Temel ERMİŞ

Pages : 398-411

Doi:10.36890/iejg.1244520

View : 129 | Download : 6

Publication Date : 2023-04-30

Article Type : Research Paper

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

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