MATH 030A Lecture 3: Golden Ratio

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Many buildings and artworks have the golden ratio in them, such as the parthenon in greece, but it is not really known if it was designed that way. The digits just keep on going, with no pattern. In fact the golden ratio is known to be an irrational. Number, and i will tell you more about it later. You can calculate it yourself by starting with any number and following these steps: divide 1 by your number (=1/number, add 1, that is your new number, start again at a. With a calculator, just keep pressing 1/x, +, 1, =, around and around. But it takes a long time to get even close, but there are better ways and it can be calculated to thousands of decimal places quite quickly. Here is one way to draw a rectangle with the golden ratio: Place a dot half way along one side.

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