Pentagons and Pentagrams

An Illustrated History

Eli Maor, Eugen Jost

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Paperback

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English

Princeton University Press
04 November 2025

Philosophy of mathematics; Algebra; Geometry

A fascinating exploration of the pentagon and its role in various cultures.

The pentagon and its close cousin, the pentagram, have inspired individuals for the last two and half millennia, from mathematicians and philosophers to artists and naturalists. Despite the pentagon's wide-ranging history, no single book has explored the important role of this shape in various cultures, until now. Richly illustrated, Pentagons and Pentagrams offers a sweeping view of the five-sided polygon, revealing its intriguing geometric properties and its essential influence on a variety of fields.

Traversing time, Eli Maor narrates vivid stories, both celebrated and unknown, about the pentagon and pentagram. He discusses the early Pythagoreans, who ascribed to the pentagon mythical attributes, adopted it as their emblem, and figured out its construction with a straightedge and compass. Maor looks at how a San Diego housewife uncovered four previously unknown types of pentagonal tilings, and how in 1982 a scientist's discovery of fivefold symmetries in certain alloys caused an uproar in crystallography and led to a Nobel Prize. Maor also discusses the pentagon's impact on many buildings, from medieval fortresses to the Pentagon in Washington, D.C. Eugen Jost's superb illustrations provide sumptuous visual context, and the book's puzzles and mazes offer fun challenges for readers, with solutions given in an appendix.

By: Eli Maor, Eugen Jost
Imprint: Princeton University Press
Country of Publication: United States
Dimensions: Height: 216mm, Width: 140mm,
ISBN: 9780691257297
ISBN 10: 0691257299
Pages: 200
Publication Date: 04 November 2025
Audience: College/higher education , Professional and scholarly , General/trade , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

Eli Maor is a former professor of the history of mathematics at Loyola University Chicago. His books include the internationally acclaimed To Infinity and Beyond, e: The Story of a Number, The Pythagorean Theorem: A 4,000-Year History, Music by the Numbers, and with Eugen Jost, Beautiful Geometry (all Princeton). Eugen Jost is a well-known Swiss artist whose work is strongly influenced by mathematics.