Fractal Images from Multiple Inversion in Circles

Year: 2019 Authors: Peter Stampfli

Core claim

Multiple inversions in intersecting circles and lines generate symmetric tilings, fractal boundaries, and self-similar decorations across several geometries.

Topics

circle inversion, fractal tilings, hyperbolic geometry, limit sets

Domains

Möbius transformations, hyperbolic geometry, spherical geometry, dynamical systems, mathematical visualization, kaleidoscopic imagery, generative art, decorative symmetry

Methods

iterative mapping, one-way mappings, browser apps, pixel coloring

Media

digital images, circle and line constructions, Poincaré disc projection, stereographic projection

Source status

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