Pseudoinversion Fractals

Gdawiec, Krzysztof

doi:10.1007/978-3-319-46418-3_3

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2021

2023

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Cited by 2 publications

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References 7 publications

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“…The Euclidean circle inversion mapping is used in all of the mentioned studies of circle inversion mappings. In 2016, Gdawiec [12] introduced new technique for obtaining new and diverse fractal patterns. Accordding to this tecnique is based on the use of different metrics in the inversion mapping and a switching process between different metric spaces.…”

Section: Introductionmentioning

confidence: 99%

Inversions and Fractal Patterns in Alpha Plane

Gelişgen

Ermiş

2023

International Electronic Journal of Geometry

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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.

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Section: Introductionmentioning

confidence: 99%