Bending Hyperbolic Kaleidoscopes

Year: 2011 Authors: Vladimir Bulatov

Core claim

Bending a hyperbolic kaleidoscope’s fundamental polygon in 3D produces new visual tilings and complex boundary behavior beyond planar examples.

Topics

hyperbolic tilings, kaleidoscope symmetry, 3D visualization, fundamental polyhedra

Domains

hyperbolic geometry, orbifold notation, symmetry groups, polyhedra, mathematical art, pattern design, visualization

Methods

Poincaré disk model, Klein-Beltrami model, stereographic projection, reflection tilings

Media

woodcut references, computer-generated diagrams, tiling illustrations

Source status

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