Curves of High Degree

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Talbot's curve is the sextic curve that is the nagative pedal of the ellipse.
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The Burnside curve is the quintic curve that is the locus of the equation below.
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The Cornoid is the sextic function that is the locus of the equations shown below.
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The Cycloid of Ceva is the sextic curve that is the locus of the equations shown below.
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The Dumbbell curve is the sextic curve that is the locus of the equation shown below.
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The Scarabaeus is the sextic curve that is the locus of the equations shown below.
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"Butterfly Curve" can refer to two distinct curves. Firstly, the Butterfly curve is sextic curve that is the locus of the equation shown below.
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A Ranunculoid is a dodectic curve that is a five-cusped epicycloid.
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