Quartic Plane Curve - Examples

Examples

Bean curve Bicuspid curve Bow curve Cruciform curve with parameters (b,a) being (1,1) in red; (2,2) in green; (3,3) in blue. Cruciform curve with parameters (b,a) being (1,1) in red; (2,1) in green; (3,1) in blue. Spiric section Three-leaved clover in cartesian coordinates Three-leaved clover in polar coordinates

Various combinations of coefficients in the above equation give rise to various important families of curves as listed below.

Bicorn curve Klein quartic
Bullet-nose curve Lemniscate of Bernoulli
Cartesian oval Lemniscate of Gerono
Cassini oval Lüroth quartic
Deltoid curve Spiric section
Hippopede Toric section
Kampyle of Eudoxus Trott curve

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