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It was astonishingly complicated to derive this example of Poncelet's porism from Cayley's innocent-looking criteria.
GIF
@mathcination I'd be tempted to draw a standard regular hendecagram first, apply a projective transformation to perturb it from the standard form, and call it done, rather than trying to derive it from first principles.
@11011110 If the goal is to create examples, yes, this is absolutely the way to go. I was trying to get a feel for Cayley's criterion and after getting the following result already for the 2x2 determinant case, I cannot recommend going my way:
