CREATING FRACTAL PATTERNS FROM GEOMETRIC SHAPES USING THE IFS METHOD

Geometric models and recursive algorithms for fractal patterns were developed using basic concepts and forms of geometry. Using L-systems and the IFS method, the equation of fractal-like forms, namely the Harter-Hateway Dragon, Yang-Xi Luo chain, and Serpin triangle fractals, was constructed and algorithms were developed. In constructing complex fractal-structured forms using geometric permutations, the equation of complex fractal-structured fractals was constructed based on scaling and rotation geometric permutations using L-systems and the IFS method, and an algorithm was developed. Key Keywords: Fractal, IFS, geometric substitution, L- systems, Harter-Hateway Dragon, Yang-Xi Luo chain

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-28
DOI
https://doi.org/10.5281/zenodo.15760688
Primary Topic
Quasicrystal Structures and Properties
Type
article
Field-Weighted Citation Impact
0.00
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article

CREATING FRACTAL PATTERNS FROM GEOMETRIC SHAPES USING THE IFS METHOD

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
article

CREATING FRACTAL PATTERNS FROM GEOMETRIC SHAPES USING THE IFS METHOD

article en

Abstract

Geometric models and recursive algorithms for fractal patterns were developed using basic concepts and forms of geometry. Using L-systems and the IFS method, the equation of fractal-like forms, namely the Harter-Hateway Dragon, Yang-Xi Luo chain, and Serpin triangle fractals, was constructed and algorithms were developed. In constructing complex fractal-structured forms using geometric permutations, the equation of complex fractal-structured fractals was constructed based on scaling and rotation geometric permutations using L-systems and the IFS method, and an algorithm was developed. Key Keywords: Fractal, IFS, geometric substitution, L- systems, Harter-Hateway Dragon, Yang-Xi Luo chain

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 62%
Quasicrystal Structures and Properties
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CREATING FRACTAL PATTERNS FROM GEOMETRIC SHAPES USING THE IFS METHOD · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS