In black and white: how to create perfectly colored symmetric patterns

Abstract The use of isometries to create and “perfectly color” symmetric tilings and patterns is explained. The reader is not presumed to have knowledge of isometries, group theory, or computer science. A student, designer, teacher, or any other person interested in the interplay of geometry and art (particularly geometric symmetry), and the possibility of implementation using computer graphics, can learn from this paper.

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