Nonperiodic Substitution Tiling of the Plane
Nonperiodic Substitution Tiling of the Plane
The substitution rule specified in this Demonstration enables filling and then inflation of a tile into four copies of itself. Iterating these rules forms larger and larger "supertiles" and ultimately defines substitution tilings, which are divisions of the plane into infinite hierarchies of supertiles. The inflation factor is four, and geometric transformations such as rotations and reflections are applied to define the supertiles.