Exploring a Taxicab-based Mandelbrot-like Set

Year: 2019 Authors: Loe Feijs; Marina Toeters

Core claim

Replacing complex multiplication with a Taxicab-based operation yields a novel Mandelbrot-like fractal with distinct aesthetics useful for an attractive fashion item.

Topics

fractal geometry, Taxicab metric, fashion design, visual aesthetics

Domains

complex numbers, Mandelbrot set, metric spaces, fractal dynamics, fashion design, textile patterning, aesthetic exploration, garment design

Methods

mathematical definition, algorithmic coding, visual exploration, fashion prototyping

Media

sublimation printing, fabric garment, moulage, digital fractal images

Source status

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