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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"Rolling Cycloidal Curves"
http://demonstrations.wolfram.com/RollingCycloidalCurves/
Wolfram Demonstrations Project
Published: March 28 2013