Hypocycloid.

The parametric equations of the hypocycloid can be given by

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

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