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    $\begingroup$ Perhaps you could pick up a few ideas from Kuba's answer here. $\endgroup$ Commented Dec 23, 2020 at 11:45
  • $\begingroup$ Just an idea(I did it with other softwares in the past). During the unfold, calculate the arclength, and draw the curve above(In other words, draw it as two parts.) $\endgroup$ Commented Dec 23, 2020 at 13:51
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    $\begingroup$ Related: demonstrations.wolfram.com/UnwrappingInvolutes $\endgroup$ Commented Dec 23, 2020 at 23:55