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PERICYCLOID

From the Greek peri "around". |

Complex parametrization:
where a is the radius of the base circle and that of the rolling circle (q > 1). |

The pericycloids are the curves described by a point on a circle rolling without slipping on a base circle (*C*_{0}), while containing this circle.

The pericycloid with parameter *q* is in fact an epicycloid with parameter ; to get an epicycloid with *n* cusps, one has to take .

The notion of pericycloid differs from that of epicycloid only by the generation of the curve, not by the curve itself, and we refer the reader to epicycloid for a complete study.

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© Robert FERRÉOL, Jacques MANDONNET 2017