Similarity Dimension of Fractal Curves with Multiple Generators
Stefan Pautze
TL;DR
This paper introduces a new way to measure the similarity dimension of complex fractal curves that are generated using multiple methods, enhancing understanding of their geometric properties.
Contribution
It proposes a novel definition for the similarity dimension applicable to fractal curves with multiple generators, expanding theoretical frameworks.
Findings
Provides a formal definition for multi-generator fractal similarity dimension
Enhances mathematical understanding of complex fractal structures
Lays groundwork for future fractal analysis methods
Abstract
We propose a definition for the similarity dimension of fractal curves with multiple generators.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Theoretical and Computational Physics · Topological and Geometric Data Analysis