Abstract: It is possible to cover a surface with a multitude of different patterns that are all created by the same tile. The tile has a design on it that follows the rules of expired U.S. Pat. No. 5,011,411. Whereby that patent describes the ability to achieve a non-repetitive surface cover design by placing the tiles side-by-side in a random configuration, this improvement allows for different patterns to be achieved depending on the rotations of the tiles in a predefined group that is repeated over the target surface.