What makes something beautiful? It seems that the answer to that question has been observed by the curious and the learnt for centuries.

Great minds such as Pythagoras, Euclid and artistic geniuses such as Leonardo da Vinci and Salvador Dalí knew about it. We know it as the golden ratio, represented by the Greek letter phi. In numbers, it is 1.61803398875 (the decimals go on forever). Another way to look at the golden ratio is to use the Fibonacci sequence in which each number is the sum of the two preceding numbers. ..

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