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Topic: Miscellaneous
Number of pages / Number of words: 4 / 1099
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in a square form if we start with two small squares of size 1, one on top of the other. Now on the right of these draw a square of size 2 (=1+1). We can now draw a square on top of these, which has sides 3 units long, and another on the left of the picture which as side 5. We can continue adding squares around the picture, each new square having a side that is as long as the sum of the last two squares drawn...


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1/1 = 1, 2/1 = 2, 3/2 = 1·5, 5/3 = 1·666..., 8/5 = 1·6, 13/8 = 1·625, 21/13 = 1·61538, and so on. These numbers are obviously settling down to a particular value. This value, approximately 1.618034, is known as the Golden Ratio.

The Golden Ratio is a number that has fascinated mathematicians for generations...


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