Inversions and Fractal Patterns in Alpha Plane

DOI10.36890/IEJG.1244520zbMath1515.28009OpenAlexW4367325809MaRDI QIDQ6158754

Temel Ermiş, Özcan Gelişgen

Publication date: 20 June 2023

Published in: International Electronic Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.36890/iejg.1244520

zbMATH Keywords

limit setfractalstar-shaped setalpha distancealpha circle inverionstar-shaped set inversion

Mathematics Subject Classification ID

Metric geometry (51F99) Fractals (28A80) Absolute planes in metric geometry (51F05)

Cites Work

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• Fractal geometry derived from geometric inversion
• ``Fractal architecture: Late twentieth century connections between architecture and fractal geometry
• Alpha-distance -- a generalization of Chinese checker distance and taxicab distance
• A budget of inversions
• Mathematical and Computational Approaches in Advancing Modern Science and Engineering
• FRACTAL GEOMETRY OF RESTRICTED SETS OF CIRCLE INVERSIONS
• The Origins of the Geometric Principle of Inversion
• An Introduction to Inversion in an Ellipse
• Inversion with Respect to the Central Conics
• GENERATING FRACTAL PATTERNS BY USING p-CIRCLE INVERSION

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