Epicycloid Radial Curve

Author

Eric W. Weisstein
March 16, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/PlaneCurves/EpicycloidRadialCurve.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/EpicycloidRadialCurve.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Equation

FullSimplify[RadialCurve[Epicycloid[{a,b},ϕ],{0,0},ϕ]]

Plot

Show[GraphicsArray[Partition[Table[RadialCurvePlot[Epicycloid[{n,1},ϕ],{0,0},{ϕ,0,2Pi},DisplayFunction->Identity],{n,4}],2]]]

Show[GraphicsArray[Table[RadialCurvePlot[Epicycloid[{m,n},ϕ],{0,0},{ϕ,0,2Pi},DisplayFunction->Identity],{n,4},{m,4}]]]