

The epitrochoid is the roulette traced by a point attached to a circle rolling about the outside of a larger fixed circle.



Similar to the epitrochoid, the hypotrochoid is defined to be the roulette traced by a point attached to a circle rolling on the inside of a larger fi...



The epicycloid is an epitrochoid where the point being traced is on the circumference of the circle being rolled around.



An Astroid is a fourcusped hypocycloid.



Cayley's sextic is the locus of the equations shown below.



The Hypocycloid is the hypotrochoid where the point generating the locus lies on the circumference of the small, rotating circle.



The Nephroid is a twocusped epicycloid. It is also the catacaustic of rays that reflect in a cardioid and originate in the curve's cusp. Furthermor...



The Nephroid of Freeth is the nephroid of a circle with its pole at the circle's center and its fixed point on the circumference of the circle.



Talbot's curve is the sextic curve that is the nagative pedal of the ellipse.



The Burnside curve is the quintic curve that is the locus of the equation below.



The Cornoid is the sextic function that is the locus of the equations shown below.



The Cycloid of Ceva is the sextic curve that is the locus of the equations shown below.



The Dumbbell curve is the sextic curve that is the locus of the equation shown below.



The Scarabaeus is the sextic curve that is the locus of the equations shown below.



"Butterfly Curve" can refer to two distinct curves. Firstly, the Butterfly curve is sextic curve that is the locus of the equation shown below.



A Ranunculoid is a dodectic curve that is a fivecusped epicycloid.



