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A hypotrochoid is a roulette traced by a point P attached to a circle of radius b rolling around the inside of a fixed circle of radius a, where P is a distance h from the center of the interior circle. The parametric equations for a hypotrochoid are:
x=(a-b)cost + hcos[(a-b)t/b] y=(a-b)sint + hsin[(a-b)t/b]