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Originally Posted by Sonorous Golden spiral?
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The figure you see drawn is a plot based on the "golden ratio" and is a series of "golden rectangles" that form a figure called a "whirling square".
The golden ratio (also called the "divine proportion") is seen when figuring the ratios of distances in simple geometric figures. I don't know the alt symbol on the keyboard for this but it is shown as a lower case "o" with a slash through it. I'll just call it X for our purposes. If you take a rectangle with the ratio of 1:X, X is defined so that if you partition off a square and a rectangle, the new rectangle will be another "golden rectangle". Continue this process with each new rectangle and the plot of each successive point on the squares will fall on a logarithmic spiral.
The Golden numbers are something close to 1.61803 and .61803.
This actually has a use in music. I found this in the Radio Shack book on making stereo speakers. Turns out that if you don't have ANY idea of the dimensions and ratios to use to make a speaker cabinet - to use the golden ratio will yield a box that won't create standing waves. So that would be like this: Pick the Width of your cabinet - let's say 10". The height would be 10" x 1.61803 or 16.18" tall. The depth is figured as 10" x .61803 = 6.18" deep. That should make a speaker cabinet that sounds decent.
But be warned, I am NOT the guy to really explain this stuff. There are many TB'ers that are way better at math and geometry than me and they will help you further if I didn't do the job.
