### More About the Hypocycloid

The *hypercycloid* is the path traced by a point on the circumference of a small circle rolling around inside a larger circle, the larger circle having radius n times that of the smaller circle, usually *n* is taken to be an integer. For *n* = 2, the path is along a diameter, this degenerate case is the Tusi Couple. For *n* = 3, the curve is called a *deltoid*, from its resemblance to the Greek letter delta. In the limit of large *n*, taken as infinite outer circle radius, the curve approaches the *cycloid*, the path of a point on the edge of a wheel rolling along a straight line.

*Code by Casey Bowler*