I've looking for curves that describes the outer and/or inner rim of this shape in cartesian space. Could someone point me to the right direction, or is there any tool I can use to get function from shape? Thanks.
2026-04-08 14:09:17.1775657357
what kind of mathematical function describes this shape
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Curves like this generally require polar form. We have a fixed radius and we increase it or decrease it periodically: this motivates addition/subtraction by a wave of constant sign. We want $9$ repetitions, and since the absolute value of a sine or cosine wave is $\pi$ periodic, to get $9$ periods in $2\pi$ we must scale the angle by $9/2$.