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spiral function f[(r)(theta)]
Posted:
Dec 21, 2010 3:44 PM
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Here's the picture I promised of the spiral and its relation to the circle.
You can see that s=r(theta), relates to f[(r)(theta)]. Theta should be in radians, I'm assuming. But I wasn't prepared to find the equivalents for degrees, so I expressed everything in degrees.
I hope you can see from the diagram, that as the circle forms, the function, f[(r)(theta)] grows.
It appears to be a spiral of Archimedes, with the center axis, perhaps passing through z=4. It's inverted obviously.
EDIT #9:
This is obviously not an Archimedeian Spiral. It's obviously a Logarithmic Spiral. The details should be easy enough to solve.
EDIT: EDIT #2:
(note: principle axises for the spiral are z=4 and y=(7/10)(root 2)(r) - this can be seen in the contuatia 004.jpg)
The values are real, so this, once again, is a real function; not simply something I "cooked up".
Anyone can solve this, if they're interested.
Please ask any questions, if you're interested and there's anything you need to know.
Cheers!
-oscar
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