The Zen of magic squares, circles, and stars: an exhibition of surprising structures across dimensions
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
c2002
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| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index 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 |
| Beschreibung: | 1 Online-Ressource (xx, 405 p.) |
| ISBN: | 0691070415 0691115974 1400841518 9780691115979 9781400841516 |
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| 100 | 1 | |a Pickover, Clifford A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The Zen of magic squares, circles, and stars |b an exhibition of surprising structures across dimensions |c Clifford A. Pickover |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c c2002 | |
| 300 | |a 1 Online-Ressource (xx, 405 p.) | ||
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |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. | ||
| 500 | |a 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. | ||
| 500 | |a 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 | ||
| 650 | 7 | |a MATHEMATICS / Combinatorics |2 bisacsh | |
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| 650 | 7 | |a Magic squares |2 fast | |
| 650 | 7 | |a Mathematical recreations |2 fast | |
| 650 | 4 | |a Magic squares | |
| 650 | 4 | |a Mathematical recreations | |
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Datensatz im Suchindex
| _version_ | 1804175646105010176 |
|---|---|
| any_adam_object | |
| author | Pickover, Clifford A. |
| author_facet | Pickover, Clifford A. |
| author_role | aut |
| author_sort | Pickover, Clifford A. |
| author_variant | c a p ca cap |
| building | Verbundindex |
| bvnumber | BV043168467 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)774285469 (DE-599)BVBBV043168467 |
| dewey-full | 511/.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.64 |
| dewey-search | 511/.64 |
| dewey-sort | 3511 264 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:19:35Z |
| institution | BVB |
| isbn | 0691070415 0691115974 1400841518 9780691115979 9781400841516 |
| language | English |
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| spelling | Pickover, Clifford A. Verfasser aut The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions Clifford A. Pickover Princeton, N.J. Princeton University Press c2002 1 Online-Ressource (xx, 405 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 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 MATHEMATICS / Combinatorics bisacsh MATHEMATICS / Recreations & Games bisacsh Magic squares fast Mathematical recreations fast Magic squares Mathematical recreations http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=408687 Aggregator Volltext |
| spellingShingle | Pickover, Clifford A. The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions MATHEMATICS / Combinatorics bisacsh MATHEMATICS / Recreations & Games bisacsh Magic squares fast Mathematical recreations fast Magic squares Mathematical recreations |
| title | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions |
| title_auth | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions |
| title_exact_search | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions |
| title_full | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions Clifford A. Pickover |
| title_fullStr | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions Clifford A. Pickover |
| title_full_unstemmed | The Zen of magic squares, circles, and stars an exhibition of surprising structures across dimensions Clifford A. Pickover |
| title_short | The Zen of magic squares, circles, and stars |
| title_sort | the zen of magic squares circles and stars an exhibition of surprising structures across dimensions |
| title_sub | an exhibition of surprising structures across dimensions |
| topic | MATHEMATICS / Combinatorics bisacsh MATHEMATICS / Recreations & Games bisacsh Magic squares fast Mathematical recreations fast Magic squares Mathematical recreations |
| topic_facet | MATHEMATICS / Combinatorics MATHEMATICS / Recreations & Games Magic squares Mathematical recreations |
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