For $\frac {\pi} {2}$ I have found maximum 4 point on every $C$ which has no intersection under the following rotation ,but I'm curious about another angles like $\frac {\pi} {4}$ or $\frac {3\pi} {4}$... https://math.stackexchange.com/questions/2773404/prove-that-there-are-maximum-4-points-on-every-closed-jordan-curve-c-which-avo
Solar Galaxy
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