Non-Euclidean Symmetry and Indra’s Pearls

Year: 2006 Authors: Caroline Series; David Wright

Core claim

Hyperbolic tilings and their boundary “shadows” can be generated and visualized through Möbius symmetries, yielding intricate fractal images and limit sets.

Topics

hyperbolic symmetry, Möbius maps, fractal limit sets, Apollonian gasket

Domains

hyperbolic geometry, complex analysis, group actions, fractal geometry, mathematical visualization, generative art, pattern design, print illustration

Methods

tiling analysis, circle inversion, stereographic projection, iterated reflection

Media

computer-generated images, boundary projections, solid ball model, printed figures

Source status

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