Designing Symmetric Peano Curve Tiling Patterns with Escher-esque Foreground/Background Ambiguity

Year: 2008 Authors: Douglas McKenna

Core claim

Careful mirroring in higher-order Peano subdivisions produces many rotationally self-negative tiling patterns that are both constructible and visually rich.

Topics

space-filling curves, rotational symmetry, background ambiguity, tiling patterns

Domains

Peano curve, combinatorics, Hamiltonian paths, recursive subdivision, Escher-esque ornament, geometric design, pattern design, tiling art

Methods

recursive generalization, computer enumeration, bit-coded mirroring, visual selection

Media

square tiles, pen plotter drawing, India ink, diagrammatic figures

Source status

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