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Configurations of Points and Lines
Branko Grünbaum, University of Washington, Seattle, WA
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Graduate Studies in Mathematics
2009; 399 pp; hardcover
Volume: 103
ISBN-10: 0-8218-4308-7
ISBN-13: 978-0-8218-4308-6
List Price: US$75
Member Price: US$60
Order Code: GSM/103
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See also:

Arrangements and Spreads - B Grunbaum

Lectures in Geometric Combinatorics - Rekha R Thomas

The Coxeter Legacy: Reflections and Projections - Chandler Davis and Erich W Ellers

This is the only book on the topic of geometric configurations of points and lines. It presents in detail the history of the topic, with its surges and declines since its beginning in 1876. It covers all the advances in the field since the revival of interest in geometric configurations some 20 years ago. The author's contributions are central to this revival. In particular, he initiated the study of 4-configurations (that is, those that contain four points on each line, and four lines through each point); the results are fully described in the text. The main novelty in the approach to all geometric configurations is the concentration on their symmetries, which make it possible to deal with configurations of rather large sizes. The book brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as entice them to try their hand at expanding it.

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Readership

Undergraduate students, graduate students, and research mathematicians interested in an active field of visually accessible geometry and the applicability of computer graphics.

Reviews

"...the book is almost entirely self-contained, and the author has a tone that is extremely readable... I think many authors could learn a thing or two about readability from Grünbaum, and reading his book was a real pleasure."

-- MAA Reviews

"This is the only book on the topic of geometric configurations of points and lines. [It] brings the readers to the limits of present knowledge in a leisurely way, enabling them to enjoy the material as well as enticing them to try their hand at expanding it."

-- Mathematical Reviews

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