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| Acknowledgments | ix | |
| Prologue | xi | |
| 1. | The Journey Begins | 1 |
| 2. | On the Banks of the Luo River: The Chinese Origins of the Luoshu | 9 |
| Mystical Beginnings on the Shell of a Tortoise | 9 | |
| The Earliest References to the Luoshu | 12 | |
| The Traditional Method of Constructing the Luoshu | 16 | |
| 3. | Yinyang, Wuxing, and Key Numbers in the Luoshu | 19 |
| "Nineness" and "Fiveness" in the Luoshu | 20 | |
| Yinyang: The Potential to Become | 27 | |
| Wuxing: Directions for Change | 31 | |
| 4. | The Luoshu in Cosmic Ritual, Fortune-Telling, and Fengshui | 39 |
| Talking to the Sky God in Mingtang Temples | 40 | |
| Taiyi and the Daoist Dance | 48 | |
| Divination Enters the Picture: The Eight Trigrams | 53 | |
| Cycles of Time and the Flying Star System of Fengshui | 56 | |
| Fortune-Telling with the Luoshu | 59 | |
| Variations on the Luoshu | 61 | |
| 5. | Chinese Variations on the Luoshu Theme | 65 |
| Other Magic Squares of Order Three? | 65 | |
| Higher Order Magic Squares | 68 | |
| Later Work with Magic Number Arrangements | 77 | |
| 6. | The Magic Square of Order Three in Other Cultures | 79 |
| Who Didn't Know about Magic Squares? | 79 | |
| Babylonia | 79 | |
| Greece | 80 | |
| Egypt | 82 | |
| Who Else Knew about Magic Squares? | 82 | |
| India | 83 | |
| Tibet | 89 | |
| Japan | 90 | |
| The Islamic World | 93 | |
| Magic Squares in Latin Europe | 107 | |
| A Mathematical Interest in Magic Squares | 116 | |
| 7. | Luoshu Miscellanea | 121 |
| Some Mathematical Considerations | 121 | |
| Luoshu Puzzles | 128 | |
| Another Time, Another Place, Another Legend | 134 | |
| Mr. Browne's Illustrious Magic Square | 135 | |
| Feel the Rhythm | 140 | |
| Taijiquan, the Luoshu, and Immortality | 145 | |
| 8. | Some Final Thoughts | 151 |
| Why Did the Magic Square Originate and Flourish in China Rather Than in the West? | 152 | |
| What Happened to the Luoshu as a Visible Symbol of Harmony? | 155 | |
| What is the Ultimate Significance of the Luoshu? | 156 | |
| Epilogue | 161 | |
| Notes | 165 | |
| Bibliography | 193 | |
| Illustration Acknowledgments | 207 | |
| Index | 209 |
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Add Legacy of the Luoshu: The Mystical, Mathematical Meaning of the Magic Square of Order Three, A magic square is an arrangement of numbers where the rows, columns, and two main diagonals add up to the same number. One of the most important squares, the Luoshu, has been studied and revered for its magical properties for centuries. Even today, the Lu, Legacy of the Luoshu: The Mystical, Mathematical Meaning of the Magic Square of Order Three to the inventory that you are selling on WonderClubX
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Add Legacy of the Luoshu: The Mystical, Mathematical Meaning of the Magic Square of Order Three, A magic square is an arrangement of numbers where the rows, columns, and two main diagonals add up to the same number. One of the most important squares, the Luoshu, has been studied and revered for its magical properties for centuries. Even today, the Lu, Legacy of the Luoshu: The Mystical, Mathematical Meaning of the Magic Square of Order Three to your collection on WonderClub |