Legacy of the Luoshu: The 4,000 Year Search for the 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 Luoshu is key to feng shui, cosmology, the occult, numerology, and mathematical puzzles. Professor Swetz explores its historical and present-day uses.
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THE JOURNEY BEGINS
YINYANG WUXING AND KEY NUMBERS IN THE LUOSHU
THE LUOSHUIN COSMIC RITUAL FORTUNETELLING
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amulets ancient Chinese associated astrological became believed cell central century China Chinese mathematics circle column concept construction cosmic cosmological cultures cycle Daoist Daoist priests David Singmaster diagonal diagram digits discussion divination Dynasty early Chinese Earth emperor entries example fengshui Ferdinand Verbiest fire Five Phases four elements Fuxi grid harmony Heaven heterosquare hetu hexagrams History Indian Magic Squares Islamic Kabbala Leibniz luoshu luoshu configuration magic constant magic sum Martin Gardner mathematical mathematician metal metaphysical method Mingtang temple mystical natural square Nine Halls number square numbers numerology occult odd numbers order four order three palace Peng Yoke Philosophy planets Pythagorean represented result ritual River Saturn scholars Schuyler Cammann Science seven shown in figure square of order star subsquare symbol talisman technique tetractys theory third-order magic square tion traditional Trigrams University Press wuxing Yijing yin numbers yinyang and wuxing York Zhou dynasty Zou Yan