Rolling Cycloidal Curves

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An -cusped epicycloid can roll inside an -cusped epicycloid with the same generating circle radius and if . The same holds for hypocycloids. A cycloidal gear is effectively an alternating sequence of epicycloidal- and hypocycloidal arcs. An -lobed cycloidal gear can roll inside an -lobed cycloidal gear with the same generating circle radius if .

Contributed by: Erik Mahieu (March 2013)
Open content licensed under CC BY-NC-SA


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