Hypotrochoid.

The parametric equations of the hypotrochoid can be given by

x=(ab)cost+hcos(abbt),y=(ab)sinthsin(abbt)x = \left(a-b \right) \cos t + h \cos \left(\frac{a-b}{b} t \right), \, y = \left(a-b \right) \sin t – h \sin \left(\frac{a-b}{b} t \right)

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