Rolling on the inside

A red hypocycloid and blue epicycloid having n-1 cusps roll on the inside of a hypocyclod and epicycloid with n cusps.[br][br]Idea from the discussions by John Baez and others at:[br]http://johncarlosbaez.wordpress.com/2013/12/03/rolling-hypocycloids/
Rolling on the inside

Information: Rolling on the inside