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Lo Shu Square
The Luoshu (pinyin), Lo Shu ( Wade-Giles), or Nine Halls Diagram is an ancient Chinese diagram and named for the Luo River near Luoyang, Henan. The Luoshu appears in myths concerning the invention of writing by Cangjie and other culture heroes. It is a unique normal magic square of order three. It is usually paired with the River Map or Hetunamed in reference to the Yellow Riverand used with the River Map in various contexts involving Chinese geomancy, numerology, philosophy, and early natural science. Traditions The Lo Shu is part of the legacy of ancient Chinese mathematical and divinity (cf. the I Ching ) traditions, and is an important emblem in '' Feng Shui'' ()—the art of geomancy concerned with the placement of objects in relation to the flow of qi (), or "natural energy". History A Chinese legend concerning the pre-historic Emperor Yu () tells of the Lo Shu, often in connection with the ''Yellow River Map'' (Hetu) and the eight trigrams. In ancient China there i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Magic Square
In recreational mathematics, a square array of numbers, usually positive integers, is called a magic square if the sums of the numbers in each row, each column, and both main diagonals are the same. The 'order' of the magic square is the number of integers along one side (''n''), and the constant sum is called the ' magic constant'. If the array includes just the positive integers 1,2,...,n^2, the magic square is said to be 'normal'. Some authors take magic square to mean normal magic square. Magic squares that include repeated entries do not fall under this definition and are referred to as 'trivial'. Some well-known examples, including the Sagrada Família magic square and the Parker square are trivial in this sense. When all the rows and columns but not both diagonals sum to the magic constant this gives a ''semimagic square (sometimes called orthomagic square). The mathematical study of magic squares typically deals with their construction, classification, and enumeration. A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
