Legacy of the luoshu : the 4,000 year search for the meaning of the magic square of order three /
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| Author / Creator: | Swetz, Frank J., 1937- |
|---|---|
| Imprint: | Chicago : Open Court, c2002. |
| Description: | xiii, 214 p. : ill. ; 23 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4555686 |
Table of Contents:
- Acknowledgments
- Prologue
- 1.. The Journey Begins
- 2.. On the Banks of the Luo River: The Chinese Origins of the Luoshu
- Mystical Beginnings on the Shell of a Tortoise
- The Earliest References to the Luoshu
- The Traditional Method of Constructing the Luoshu
- 3.. Yinyang, Wuxing, and Key Numbers in the Luoshu
- "Nineness" and "Fiveness" in the Luoshu
- Yinyang: The Potential to Become
- Wuxing: Directions for Change
- 4.. The Luoshu in Cosmic Ritual, Fortune-Telling, and Fengshui
- Talking to the Sky God in Mingtang Temples
- Taiyi and the Daoist Dance
- Divination Enters the Picture: The Eight Trigrams
- Cycles of Time and the Flying Star System of Fengshui
- Fortune-Telling with the Luoshu
- Variations on the Luoshu
- 5.. Chinese Variations on the Luoshu Theme
- Other Magic Squares of Order Three?
- Higher Order Magic Squares
- Later Work with Magic Number Arrangements
- 6.. The Magic Square of Order Three in Other Cultures
- Who Didn't Know about Magic Squares?
- Babylonia
- Greece
- Egypt
- Who Else Knew about Magic Squares?
- India
- Tibet
- Japan
- The Islamic World
- Magic Squares in Latin Europe
- A Mathematical Interest in Magic Squares
- 7.. Luoshu Miscellanea
- Some Mathematical Considerations
- Luoshu Puzzles
- Another Time, Another Place, Another Legend
- Mr. Browne's Illustrious Magic Square
- Feel the Rhythm
- Taijiquan, the Luoshu, and Immortality
- 8.. Some Final Thoughts
- Why Did the Magic Square Originate and Flourish in China Rather Than in the West?
- What Happened to the Luoshu as a Visible Symbol of Harmony?
- What is the Ultimate Significance of the Luoshu?
- Epilogue
- Notes
- Bibliography
- Illustration Acknowledgments
- Index
