Trying to derive a "natural" b coefficient for a logarithmic spiral, assuming that it is a negative closed dimension.
Given that I am attempting to define a negative dimension x- as being -1/x+, I tried solving for b where r=1/n (where n is the number of turns); this translates in polar coordinates to r=1/theta. Which...
Didn't work. That's just a hyperbolic spiral. Which I don't think will work.
(As obvious as this should have been, I went through the process of canceling out terms to arrive back at the same equation.)
Back to the drawing board.
I am pretty sure a spiral in the complex plane is the right way to represent a closed dimension in which the distance back to where you started, in either direction, is infinity. But without an origin this is challenging my relatively limited mathematical knowledge.
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