the zen of magic squares circles and stars an exhibition of surprising structures across dimensions

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The Zen Of Magic Squares Circles And Stars

Author : Clifford A. Pickover
ISBN : 9781400841516
Genre : Mathematics
File Size : 29. 58 MB
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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.

The Zen Of Magic Squares Circles And Stars

Author : M K Joseph
ISBN : 8173714665
Genre :
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The Australian Mathematics Teacher

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ISBN : UOM:39015060908798
Genre : Mathematics
File Size : 73. 85 MB
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Crux Mathematicorum With Mathematical Mayhem

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ISBN : UOM:39015057388921
Genre : Mathematics
File Size : 73. 66 MB
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Before Sudoku

Author : Seymour S. Block
ISBN : STANFORD:36105131763257
Genre : Games
File Size : 66. 20 MB
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Sudoku has become a vastly popular and even addictive game. But fans may not know that Sudoku is a recent offshoot of the venerable Magic Square, which dates back over 4,000 years to ancient China, where it was literally considered magical. Indeed, Magic Squares have fascinated centuries of mystics, astrologers, and some of the world's most brilliant thinkers, including Ben Franklin. In Sudoku and Magic Squares, Seymour Block and Santiago Tavares offer a crystal clear and engagingtour tour of Magic Squares, tracing their footsteps through through ancient and medieval history and illuminating their uses in art and design, statistics and electronics. The book provides a delightful account of a mind-boggling variety of magical squares, ranging from simple 3 x 3 and squares, to magic cubes, magic circles, magic pyramids, and even "the Beastly Magical Square," whose magic sum is 666. Of course, the authors also cover Sudoku, describing how the game became a world-wide phenomenon and revealing various strategies for solving the puzzles. And along the way, the book offers readers many fascinating facts - for instance, Sudoku was invented in 1979 by an American architect living in Indianapolis and was originally called Number Place. Oddly enough, though the puzzle is known around the world by its Japanese name (which means "single numbers"), many Japanese still call it Number Place. We also learn that in a 4 x 4 magic square, there are 880 different solutions that will yield the magic sum of 34 - a surprisingly large number until you remember that there are over 2.6 trillion possible combinations. Filled with lots of original puzzles for gamers to solve, Sudoku and Magic Squares is an entertaining book that will delight anyone who loves a challenge, including all fans of Sudoku.

Complex Systems

Author :
ISBN : UCSC:32106018049533
Genre : Cellular automata
File Size : 56. 55 MB
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Choice

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ISBN : UOM:39015079402304
Genre : Best books
File Size : 45. 13 MB
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Author : H.W. Wilson Company
ISBN : UOM:39015057977368
Genre : Books
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Mathematics Today

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ISBN : UOM:39015059069339
Genre : Mathematics
File Size : 80. 72 MB
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Author : Rose Arny
ISBN : UOM:39015054037059
Genre : American literature
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