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What is the math behind the Alhambra?

v2 is an irrational number, 1.41421356…,a number that never ends. Puerta del Vino is a clear example of the proportion of a rectangle v2. It could be said that this entrance of the Alhambra has exactly these proportions. The only one that when folded on itself reproduces exactly the same proportion of the original.



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Though modern mathematics is mainly concerned with mathematical theory, Islamic mathematics was developed for practical applications (both physical, such as art, and social, such as inheritance laws).

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Muslim mathematicians invented the present arithmetical decimal system and the fundamental operations connected with it – addition, subtraction, multiplication, division, raising to a power, and extracting the square root and the cubic root.

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