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 : 78. 35 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.

Zen Of Magic Squares Circles And Stars Exhibition Of Surprising Structures Across Dimensions

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ISBN : OCLC:1000363276
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File Size : 53. 71 MB
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Before Sudoku

Author : Seymour S. Block
ISBN : STANFORD:36105131763257
Genre : Games
File Size : 66. 36 MB
Format : PDF, Docs
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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.

Magic Squares And Cubes

Author : William Symes Andrews
ISBN : OSU:32435002214864
Genre : Magic squares
File Size : 23. 15 MB
Format : PDF
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Legacy Of The Luoshu

Author : Frank Swetz
ISBN : 9781439865323
Genre : Mathematics
File Size : 83. 69 MB
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A symbol of the Divine, a good luck charm, a cosmogram of the world order, a template for fengshui —through the ages, the luoshu, or magic squre of order three, has fascinated people of many different cultures. In this riveting account of cultural detective work, renowned mathematics educator, Frank J. Swetz relates how he uncovered the previously hidden history of the luoshu, from its Chinese origins, shrouded in legend, through its eventual association with Chinese fortunetelling, Daoism, and fengshui, to its incorporation into Islamic astrology and alchemy and its migration into Kabbalistic lore and other occult traditions of the West.

Magic Squares

Author : Paul Calter
ISBN : UOM:39015056817300
Genre : Computer programming
File Size : 47. 11 MB
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Crux Mathematicorum With Mathematical Mayhem

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ISBN : UOM:39015057388921
Genre : Mathematics
File Size : 73. 91 MB
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The Australian Mathematics Teacher

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ISBN : UOM:39015060908798
Genre : Mathematics
File Size : 85. 83 MB
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The Loom Of God

Author : Clifford A. Pickover
ISBN : 1402764006
Genre : Mathematics
File Size : 47. 92 MB
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Previous ed. published in 1997 under the title: The loom of God: mathematical tapestries at the edge of time, by Plenum Press.

Before Sudoku

Author : Seymour S. Block
ISBN : STANFORD:36105131763257
Genre : Games
File Size : 32. 63 MB
Format : PDF, ePub, Mobi
Download : 400
Read : 1132

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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.

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