Geometric Properties Among Various Curves

Construct an animation displaying the cardioid rolling inside a fixed nephroid, together with their common tangent.
Construct an animation displaying the deltoid sliding inside a fixed nephroid.
Construct the deltoid and its evolute.
Construct the cardioid and its evolute.
Construct the nephroid and its evolute.
Construct the astroid and its evolute.
Construct an animation displaying the cardioid rolling inside a fixed three-cusped epicycloid, together with their common tangent.