algorithmic modeling for Rhino

sequence of numbering intersections problem

Hi does someone have an idea on how to do this ?

I have a guilloche/rose curve and want to number the intersections it makes in the blue plane in the order of intersection.

The start is marked with the green arrow, now the numbers are semi random and I want to number the first intersection with 1 second intersection with 2 and so on.

what approach do I need to take here ?

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