The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions

The Zen of Magic Squares, Circles, and Stars: An Exhibition of Surprising Structures across Dimensions

5.0 1
by Clifford A. Pickover
     
 

ISBN-10: 0691115974

ISBN-13: 9780691115979

Pub. Date: 12/29/2003

Publisher: Princeton University Press

Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the

…  See more details below

Overview

Humanity's love affair with mathematics and mysticism reached a critical juncture, legend has it, on the back of a turtle in ancient China. As Clifford Pickover briefly recounts in this enthralling book, the most comprehensive in decades on magic squares, Emperor Yu was supposedly strolling along the Yellow River one day around 2200 B.C. when he spotted the creature: its shell had a series of dots within squares. To Yu's amazement, each row of squares contained fifteen dots, as did the columns and diagonals. When he added any two cells opposite along a line through the center square, like 2 and 8, he always arrived at 10. The turtle, unwitting inspirer of the ''Yu'' square, went on to a life of courtly comfort and fame.

Pickover explains why Chinese emperors, Babylonian astrologer-priests, prehistoric cave people in France, and ancient Mayans of the Yucatan were convinced that magic squares--arrays filled with numbers or letters in certain arrangements--held the secret of the universe. Since the dawn of civilization, he writes, humans have invoked such patterns to ward off evil and bring good fortune. Yet who would have guessed that in the twenty-first century, mathematicians would be studying magic squares so immense and in so many dimensions that the objects defy ordinary human contemplation and visualization?

Readers are treated to a colorful history of magic squares and similar structures, their construction, and classification along with a remarkable variety of newly discovered objects ranging from ornate inlaid magic cubes to hypercubes. Illustrated examples occur throughout, with some patterns from the author's own experiments. The tesseracts, circles, spheres, and stars that he presents perfectly convey the age-old devotion of the math-minded to this Zenlike quest. Number lovers, puzzle aficionados, and math enthusiasts will treasure this rich and lively encyclopedia of one of the few areas of mathematics where the contributions of even nonspecialists count.

Read More

Product Details

ISBN-13:
9780691115979
Publisher:
Princeton University Press
Publication date:
12/29/2003
Pages:
432
Sales rank:
1,057,067
Product dimensions:
5.96(w) x 9.24(h) x 1.01(d)

Table of Contents


Preface xi

Acknowledgments xix

Introduction 1

CHAPTER ONE: Magic Construction 37

CHAPTER TWO: Classification 65

CHAPTER THREE: Gallery I : Squares, Cubes, and Tesseracts 147

CHAPTER FOUR: Gallery 2: Circles and Spheres 297

CHAPTER FIVE: Gallery 3: Stars, Hexagons, and Other Beauties 325

Some Final Thoughts 369

Notes 375

For Further Reading 395

Index 397

About the Author 403

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >