Asymmetry vs. Symmetry in a New Class of Space-Filling Curves

Year: 2006 Authors: Douglas M. McKenna

Core claim

Pattern D is a self-referential, asymmetric generator that recursively builds a space-filling Peano curve while yielding stronger visual intrigue than more symmetric alternatives.

Topics

space-filling curves, symmetry and asymmetry, recursive tiling, mathematical aesthetics

Domains

Peano curves, geometry, recursive constructions, fractal limits, mathematical art, tiling design, visual composition, aesthetic theory

Methods

iterated geometric substitution, square dissection analysis, self-similarity comparison, visual aesthetic argument

Media

line segments, square tilings, framed print, thin-line drawings

Source status

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