Bending Circle Limits

Year: 2013 Authors: Vladimir Bulatov

Core claim

Hyperbolic polygon tilings can be continuously deformed in 3D by bending chimneys while preserving kaleidoscopic angle conditions, yielding new fractal circle-limit images.

Topics

hyperbolic tessellations, circle limits, fractal limit sets, 3D bending deformation

Domains

hyperbolic geometry, reflection groups, kaleidoscopic tilings, stereographic projection, mathematical art, generative visualization, Escher-inspired imagery, ornamental design

Methods

reflection tiling construction, chimney extrusion, geometric deformation, GPU rendering

Media

hyperbolic space models, computer-generated images, stereographic projections, woodcut-inspired patterns

Source status

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