Mathematical Impressions: The Golden Ratio by George Hart

The golden ratio  (1.61803 … ) is greatly hyped, partly for its beautiful mathematical properties but also for nonsensical reasons. Distinguishing between the two requires understanding that mathematics is about structures and relationships, not just numbers in isolation. When the golden ratio truly appears (not just some number in its approximate neighborhood), we can find patterns that account for it.”

Simons Foundation.

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martin56jones

"The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. " G H Hardy, A Mathematician's Apology (London 1941).

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