Fun with Newton’s Method

Year: 2019 Authors: Kerry Mitchell

Core claim

Modified Newton-style iterations can produce diverse fractal images with rich chaotic structures and artistic variation.

Topics

fractal art, chaos, iterative methods, root finding, visual exploration

Domains

Newton’s method, nonlinear equations, complex dynamics, Julia sets, fractal art, generative art, visualization

Methods

adjustment factor iteration, Mandelbrot-type rendering, alternating equations, complex-plane iteration

Media

digital images, grayscale rendering, color mapping

Source status

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