The golden ratio, which was used by the Greeks, is a “formula” for beauty. It states that the most beautiful object to the human eye is a ratio of 1.614. For example to get this ratio you could have a rectangle with a length of 34 and a width of 21. This when you divide this you get 34/21, which equals 1.614. 21,34 just happen to be consecutive Fibonacci numbers. Any two consecutive Fibonacci numbers that you take will equal the golden ratio, which is another way in which the numbers pop up everywhere. A golden spiral, like the one you see above, is obviously not a rectangle but uses a rectangle and the 1.6 ratios to create the most pleasing of spirals. If you were to take any golden rectangle and chop a square off the end, you are left with another golden rectangle. If you continue to do this, your rectangle will get smaller and smaller but remain golden. The way to tell if a spiral is golden or not is to put it inside a golden rectangle and begin to cut off squares. If you a continuously able to cut off squares and shrink the golden rectangle with the spiral remaining inside, then it is golden.
The golden ratio, which was used by the Greeks, is a “formula” for beauty. It states that the most beautiful object to the human eye is a ratio of 1.614. For example to get this ratio you could have a rectangle with a length of 34 and a width of 21. This when you divide this you get 34/21, which equals 1.614. 21,34 just happen to be consecutive Fibonacci numbers. Any two consecutive Fibonacci numbers that you take will equal the golden ratio, which is another way in which the numbers pop up everywhere. A golden spiral, like the one you see above, is obviously not a rectangle but uses a rectangle and the 1.6 ratios to create the most pleasing of spirals. If you were to take any golden rectangle and chop a square off the end, you are left with another golden rectangle. If you continue to do this, your rectangle will get smaller and smaller but remain golden. The way to tell if a spiral is golden or not is to put it inside a golden rectangle and begin to cut off squares. If you a continuously able to cut off squares and shrink the golden rectangle with the spiral remaining inside, then it is golden.
ReplyDeleteIf you place this spiral inside a rectangle the edges of the spiral would therefore make it a golden rectangle.
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