the Cochleoid

the Cochleoid is a polar spiral that spirals in on itself, because Sin A varies between -1 and 1, but A gets ever larger.

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at point 8 A is 210, not 30, but because the Sin is negative, R is negative. The graph passes thru 0,0 every time the sin is zero.

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running the graph from negative 1080 (-6 pi) to -1 (to avoid divide by zero error) draws the mirror image graph from the inside out.

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wolfram reference
http://mathworld.wolfram.com/Cochleoid.html

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