Mathematical Experiment 7
Every hypocycloid and every epicycloid can be generated in two ways. During
the generation, the center of the fixed circle and the point on the curve
form the opposite vertices of a parallelogram while the remaining pair
of opposite vertices are formed by the centers of the two rolling circles.

Construct an animation displaying the formation of the nephroid in two
ways.

Construct an animation displaying the formation of the cardioid in two
ways.

Construct an animation displaying the formation of the astroid in two ways.

Construct an animation displaying the formation of the deltoid in two ways.