Square Decompositions with Hyperbolic Consequences in Art, Chemical Physics and Mathematics

Year: 2003 Authors: Robert G. Smits

Core claim

Discrete square decompositions provide a practical Euclidean way to reveal hyperbolic structure in art and physical interfaces.

Topics

discrete hyperbolic geometry, square decompositions, reflection geometry, art-science interfaces

Domains

hyperbolic geometry, graph theory, complex analysis, harmonic analysis, modern art, abstract art, visual geometry, grid composition

Methods

Poincaré half-plane model, circle inversions, Whitney decomposition, quasi-geodesics

Media

squares, grids, polymer chains, Matlab-generated geometry

Source status

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