Substitution Tiling

Substitution Tiling

In geometry, a tile substitution is a useful method for constructing highly ordered tilings. Most importantly, some tile substitutions generate aperiodic tilings, which are tilings whose prototiles do not admit any tiling with translational symmetry. The most famous of these are the Penrose tilings.

Read more about Substitution Tiling:  Introduction, History, Mathematical Definition, See Also

Famous quotes containing the word substitution:

    Virtue is the adherence in action to the nature of things, and the nature of things makes it prevalent. It consists in a perpetual substitution of being for seeming, and with sublime propriety God is described as saying, I A—.
    Ralph Waldo Emerson (1803–1882)