Designing Symmetric Peano Curve Tiling Patterns with Escher-esque Foreground/Background Ambiguity
Inhaltsverzeichnis
Reference
Douglas McKenna: Designing Symmetric Peano Curve Tiling Patterns with Escher-esque Foreground/Background Ambiguity. In: Bridges 2008. Pages 123–130
DOI
Abstract
By generalizing Peano’s original space-filling curve construction, one can design out of simple square tiles modular, two-color tiling patterns whose foreground and background are “self-negative” under 180° rotation. The resultant abstract geometric tiling patterns have an “Escher-esque” quality due to the attendant ambiguity that arises when the visual system cannot tell which connected area is foreground and which is background.
Extended Abstract
Bibtex
Used References
[1] Peano, G., “Sur Une Courbe Qui Remplit Toute Une Aire Plaine”, Math. Annalen 36 (1890), pp. 157-160.
[2] Sagan, H., Space-Filling Curves, Springer-Verlag (1994), ch. 1–3.
[3] Mandelbrot, B. B., The Fractal Geometry of Nature, W. H. Freeman (1982), p. 62.
[4] See <http://en.wikipedia.org/wiki/Space filling curve> (last accessed 02/04/08)
Links
Full Text
http://archive.bridgesmathart.org/2008/bridges2008-123.pdf
