Inversions and Fractal Patterns in Alpha Plane

Year 2023, , 398 - 411, 30.04.2023

Özcan Gelişgen , Temel Ermiş

https://doi.org/10.36890/iejg.1244520

Cited By: 3

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

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