Abstract
Abstract “Design your own pattern, because of the Penrose Patterns” explores translational, rotational, and reflective symmetry common in wallpaper patterns, along with symmetry of scale evident in Sir Roger Penrose’s famous Penrose Pattern. The chapter is illustrated with numerous examples of mathematical patterns and recounts stories surrounding Penrose’s discovery, including the time the multinational corporation Kleenex attempted to use the Penrose Pattern on its “quilted” toilet paper—a decision that was not received well by Penrose. Mathematics students and enthusiasts are encouraged to design and treasure their own patterns in mathematics and life. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.
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