Beyond the Dragon: A Novel Class of Fractal Curves

Year: 2024 Authors: Sarah Bricault

Core claim

Sequentially applying a repeating fold-command list across line segments produces novel semi-self-similar fractal families beyond standard L-system Dragon Curve behavior.

Topics

fractal curves, fold command lists, semi-self-similarity, binary sequences, cross-stitch

Domains

fractal geometry, L-systems, iterative algorithms, binary sequences, generative art, textile art, pattern design, visualization

Methods

iterative folding, parametric variation, square initialization, physical cross-stitching

Media

line segments, grid-based curves, cross-stitch, backstitch

Source status

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