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edited Dec 14, 2014 at 23:55

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Is the right strophoid the only planar curve $C$ whose inverse curve w.r.t. some pointcircle (in this case: centered on the origin) is identical to $C$?

![RightStrophoid][1]
^{([Image link](http://archive.lib.msu.edu/crcmath/math/math/r/r332.htm).)}

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asked Dec 14, 2014 at 23:10

Joseph O'Rourke

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Planar curves identical to their inverses

Is the right strophoid the only planar curve $C$ whose inverse curve w.r.t. some point (in this case: the origin) is identical to $C$?

![RightStrophoid][1]
^{([Image link](http://archive.lib.msu.edu/crcmath/math/math/r/r332.htm).)}