Splitting Tilings
Inhaltsverzeichnis
Reference
Rinus Roelofs: Splitting Tilings. In: Bridges 2012. Pages 111–118
DOI
Abstract
In this paper I will investigate some properties of a special group of tilings. Namely those tiling’s that can be coloured with only two different colours in such a way that every set of two tiles which have a common edge have a different colour. In the works of M.C. Escher these tiling’s play an important role. In his book Regelmatige Vlakverdeling [1] M.C. Escher writes about the foreground-background phenomenon of this group of tilings. In fact these 2-colorable tilings can be seen as a compound of two groups of tiles. And so we can split a 2-colorable tiling in two sets of tiles and we can concentrate on only one of these sets.
Extended Abstract
Bibtex
Used References
M.C. Escher, Regelmatige Vlakverdeling, Stichting de Roos, 1958.
Greg N. Frederickson, Hinged Dissections: Swinging and Twisting, Cambridge University Press, 2002.
Wentzel Jamnitzer, Perspectiva corporum regularium, Ediciones Siruela, 1993, 2006.
R. Buckminster Fuller, Synergetics, Macmillan Publishing, 1975.
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-111.pdf
