Kaleidoscopes for Non-Euclidean Space

Year: 2018 Authors: Peter Stampfli

Core claim

Using circle arcs and inversions instead of straight mirrors allows efficient iterative generation of kaleidoscopic images with non-Euclidean geometries and otherwise impossible rotational symmetries.

Topics

kaleidoscopic symmetry, hyperbolic tessellation, circle inversion, iterative image generation

Domains

group theory, geometry, hyperbolic geometry, spherical geometry, generative art, pattern design, mathematical visualization, symmetry art

Methods

dihedral-group mapping, triangle-group tiling, Poincaré disc model, stereographic projection

Media

digital images, circle arcs, mirror lines, input-image pixels

Source status

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