TY - BOOK UR - http://lib.ugent.be/catalog/ebk01:2550000000065918 ID - ebk01:2550000000065918 ET - Core Textbook. LA - eng TI - The Zen of Magic Squares, Circles, and Stars : An Exhibition of Surprising Structures across Dimensions PY - 2002 SN - 9781400841516 AU - Pickover, Clifford A., author. AB - 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. ER -Download RIS file
05540nam a2200769 i 4500 | |||
001 | 9781400841516 | ||
003 | DE-B1597 | ||
005 | 20151027175706.0 | ||
006 | m||||||||||||||||| | ||
007 | cr |n||||||||n | ||
008 | 151027s2002||||||||||||o|||||||||||eng|| | ||
020 | a 9781400841516 | ||
024 | 7 | a 10.1515/9781400841516 2 doi | |
035 | a (DE-B1597)447254 | ||
035 | a (OCoLC)774285469 | ||
040 | a IN-ChSCO b eng c IN-ChSCO e rda | ||
041 | a eng | ||
050 | 4 | a QA165 | |
050 | 4 | a QA165 b .P53 2002eb | |
072 | 7 | a MAT x 025000 2 bisacsh | |
072 | 7 | a MAT025000 2 bisacsh | |
082 | 4 | a 511/.64 2 21 | |
082 | 4 | a 511/.64 2 23 | |
100 | 1 | a Pickover, Clifford A., e author. | |
245 | 1 | 4 | a The Zen of Magic Squares, Circles, and Stars : b An Exhibition of Surprising Structures across Dimensions / c Clifford A. Pickover. |
250 | a Core Textbook. | ||
264 | 1 | a Princeton, N.J. : b Princeton University Press, c [2002] | |
264 | 4 | c Â©2002 | |
300 | a 1 online resource (432 pages) : b illustrations. | ||
336 | a text 2 rdacontent | ||
337 | a computer 2 rdamedia | ||
338 | a online resource 2 rdacarrier | ||
347 | a text file b PDF 2 rda | ||
505 | t Frontmatter -- t Contents -- t Preface -- t Acknowledgments -- t Introduction -- t CHAPTER ONE. Magic Construction -- t CHAPTER TWO. Classification -- t CHAPTER THREE. Gallery 1: Squares, Cubes, and Tesseracts -- t CHAPTER FOUR. Gallery 2: Circles and Spheres -- t CHAPTER FIVE. Gallery 3: Stars, Hexagons, and Other Beauties -- t Some Final Thoughts -- t Notes -- t Index -- t About the Author. | ||
520 | a 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. | ||
533 | a Electronic reproduction. b Princeton, N.J. : c Princeton University Press, d 2002. n Mode of access: World Wide Web. n System requirements: Web browser. n Access may be restricted to users at subscribing institutions. | ||
538 | a Mode of access: Internet via World Wide Web. | ||
546 | a In English. | ||
588 | a Description based on online resource; title from PDF title page (publisherâ€™s Web site, viewed October 27 2015) | ||
650 | a Magic squares. | ||
650 | a Mathematical recreations. | ||
650 | a MATHEMATICS v Combinatorics. | ||
650 | a MATHEMATICS v Recreations & x Games. | ||
650 | 4 | a Applied Mathematics. | |
650 | 4 | a Magic squares. | |
650 | 4 | a Mathematical recreations. | |
650 | 4 | a Mathematics. | |
650 | 4 | a Mathematik. | |
773 | 8 | i Title is part of eBook package: d De Gruyter t Princeton eBook Package Backlist 2000-2013 z 978-3-11-044250-2 | |
773 | 8 | i Title is part of eBook package: d De Gruyter t Princeton eBook Package Backlist 2000-2014 z 978-3-11-045953-1 | |
773 | 8 | i Title is part of eBook package: d De Gruyter t Princeton Univ. Press eBook Package 2000-2013 z 978-3-11-041343-4 | |
856 | 4 | u https://www.degruyter.com/doi/book/10.1515/9781400841516 | |
856 | 4 | 2 | 3 Cover u https://www.degruyter.com/doc/cover/9781400841516.jpg |
912 | a 978-3-11-041343-4 Princeton Univ. Press eBook Package 2000-2013 | ||
912 | a 978-3-11-044250-2 Princeton eBook Package Backlist 2000-2013 | ||
912 | a 978-3-11-045953-1 Princeton eBook Package Backlist 2000-2014 | ||
912 | a GBV-deGruyter-alles | ||
912 | a GBV-deGruyter-PDA12STME | ||
912 | a GBV-deGruyter-PDA13ENGE | ||
912 | a GBV-deGruyter-PDA14ALL | ||
912 | a GBV-deGruyter-PDA15STM | ||
912 | a GBV-deGruyter-PDA18STMEE | ||
912 | a GBV-deGruyter-PDA1ALL | ||
912 | a GBV-deGruyter-PDA3STM | ||
912 | a GBV-deGruyter-PDA5EBK | ||
912 | a GBV-deGruyter-PDA7ENG | ||
912 | a GBV-deGruyter-PDA9PRIN |
All data below are available with an Open Data Commons Open Database License. You are free to copy, distribute and use the database; to produce works from the database; to modify, transform and build upon the database. As long as you attribute the data sets to the source, publish your adapted database with ODbL license, and keep the dataset open (don't use technical measures such as DRM to restrict access to the database).
The datasets are also available as weekly exports.