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Supported formats and sample files
Assuming "butterfly curve" is a plane curve | Use as a popular curve instead
Assuming first butterfly curve | Use second butterfly curve or butterfly catastrophe curve instead

Input interpretation:

link to /input/?i=first+butterfly+curve&lk=1&a=ClashPrefs_*PlaneCurve.ButterflyCurve1-link to /input/?i=first+butterfly+curve&lk=1&a=ClashPrefs_*PlaneCurve.ButterflyCurve1-link to /input/?i=first+butterfly+curve&lk=1&a=ClashPrefs_*PlaneCurve.ButterflyCurve1-
EnlargeEnable InteractivityDownload as CDF

Equations:

Cartesian equation:

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Properties:

link to /input/?i=algebraic+curve&lk=1&a=ClashPrefs_*PlaneCurveClass.Algebraic-link to /input/?i=closed+curve&lk=1&a=ClashPrefs_*PlaneCurveClass.Closed-link to /input/?i=sextic+curve&lk=1&a=ClashPrefs_*PlaneCurveClass.Sextic-
EnlargeEnable InteractivityDownload as CDF

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