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Explain the term Golden rectangle

Updated: 12/23/2022
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14y ago

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The Golden rectangle is a rectangle in which one side is approximately 0.618 times the other side.

0.618(...) This is the "Golden Number". It is the only number whose inverse is itself plus one: 1/x=x+1. If you solve this quadratic equation you will get x1=[1+sqr(5)]/2=0.618... and x2=1.618....

This number is also the ratio at which the rabbits reproduce, which follow the so called Fibonacci series: 1, 1, 2, 3, 5, 8, 13, ... in which a number is the sum of the 2 previous numbers (the next number in the example is 8+13=21). The Golden number is obtained by dividing one of these numbers into the immediately next number. For example, 13/21=0.619, but if you do this with bigger numbers you will get the exact value.

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