Magic squares: John Horton Conway, Luca Pacioli, Magic square, Arthur Cayley, Magic hypercube, Siamese method, Magic hyperbeam

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9781155949338: Magic squares: John Horton Conway, Luca Pacioli, Magic square, Arthur Cayley, Magic hypercube, Siamese method, Magic hyperbeam
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 42. Chapters: John Horton Conway, Luca Pacioli, Magic square, Arthur Cayley, Magic hypercube, Siamese method, Magic hyperbeam, Magic cube classes, D. R. Kaprekar, Ahmad al-Buni, Magic hexagon, John R. Hendricks, Yang Hui, Nasik magic hypercube, Prime reciprocal magic square, Perfect magic cube, Philippe de La Hire, Most-perfect magic square, Simon de la Loubère, Pandiagonal magic square, W. W. Rouse Ball, Claude Gaspard Bachet de Méziriac, Mystic square, Magic tesseract, Lo Shu Square, Space diagonal, Strachey method for magic squares, Bimagic square, Richard Schroeppel, Manuel Moschopoulos, Conway's LUX method for magic squares, Magic constant, Multimagic square, Antimagic square, Bernard Frénicle de Bessy, Pantriagonal magic cube, Frénicle standard form, Diagonal magic cube, Magic star, Trimagic square, Broken diagonal, Magic series, Heterosquare, Pantriagdiag magic cube, Pandiagonal magic cube, Simple magic cube, Bimagic cube, Multimagic cube, Simple magic square, Trimagic cube, Tetramagic square, Associative magic square, Semiperfect magic cube, Broken space diagonal. Excerpt: In recreational mathematics, a magic square of order n is an arrangement of n numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n. The term "magic square" is also sometimes used to refer to any of various types of word square. Normal magic squares exist for all orders n ≥ 1 except n = 2, although the case n = 1 is trivial, consisting of a single cell containing the number 1. The smallest nontrivial case, shown below, is of order 3. The constant sum in every row, column and diagonal is called the magic constant or magic sum, M. The magic constant of a normal magic square depends only on n and has the value Fo...

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