Mathematical concept of arrangement of numbers in a square
In the Lo Shu Square, pairs of opposite numbers sum to 10Detail from Melencolia I showing a 4 × 4 associative square
An associative magic square is a magic square for which each pair of numbers symmetrically opposite to the center sum up to the same value. For an n × n square, filled with the numbers from 1 to n2, this common sum must equal n2 + 1. These squares are also called associated magic squares, regular magic squares, regmagic squares, or symmetric magic squares.[1][2][3]
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An associativemagicsquare is a magicsquare for which each pair of numbers symmetrically opposite to the center sum up to the same value. For an n × n...
rows 3 and 4, to obtain the transformed square on the right. An associativemagicsquare remains associative when its entries are replaced with corresponding...
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and others.: 463–81 Freudenthal magicsquare Pfister form Triality Wikibooks has a book on the topic of: Associative Composition Algebra Springer, T....
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