From Batik to Physics: Generating and Analyzing Fractal Patterns Inspired by Indonesian Textile Art

Abstract

This study explores the intersection of fractal geometry and traditional Indonesian batik patterns through computational analysis. By employing rational functions, specifically variants of the Julia set, we investigate how mathematical models can generate complex motifs that resemble traditional batik. The fractal dimensions of the generated patterns are calculated using the box-counting method, and the visual complexity is compared to selected batik motifs from Indonesia. Results show that certain parameter modifications produce fractal patterns similar to traditional designs, while others reveal unexpected analogies with natural and physical phenomena, such as atomic orbitals and Chladni resonance patterns. This work highlights the potential of combining mathematics and art to both preserve and innovate within cultural heritage, providing new pathways for contemporary batik design using generative algorithms.