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How to Free Your Inner MathematicianNotes on Mathematics and Life$
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Susan D'Agostino

Print publication date: 2020

Print ISBN-13: 9780198843597

Published to Oxford Scholarship Online: April 2020

DOI: 10.1093/oso/9780198843597.001.0001

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Design your own pattern, because of the Penrose Patterns

Design your own pattern, because of the Penrose Patterns

(p.143) 24 Design your own pattern, because of the Penrose Patterns
How to Free Your Inner Mathematician

Susan D'Agostino

Oxford University Press

“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.

Keywords:   Penrose Pattern, symmetry, wallpaper, Roger Penrose, math, student

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