A golden rectangle is a rectangle whose height is 1.618033989 times its width. The ancient greeks thought that this was the most pleasing ratio to the human eye. There are many ways to get the golden ratio. Here are a few:

Take any number above 1. Take the square root of it and add 1. Take the square root of the answer and add 1. Repeat until the answer stops changing, then subtract 1. You get 1.618033989.

Take any number between 1 and 0. Then subtract the square root of it from 1. Then subtract the square root of the answer from 1. Keep doing that until you get .381966011. Subtract that from 1 to get .618033989. Take the inverse to get 1.618033989.

Notice that if you take the inverse of the golden ratio, it's the same as subtracting one. Strange...

Do you want to see what ratio you think is the 'most pleasing to the eye'? Click here

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