Deltoid Radial Curve

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Equation

deltoid={2/3 Cos[t]+1/3 Cos[2t],2/3 Sin[t]-1/3 Sin[2t]};

FullSimplify[RadialCurve[a deltoid,{x0,y0},t]]

Plot

RadialCurvePlot[{2Cos[t]+Cos[2t],2Sin[t]-Sin[2t]},{0,0},{t,0,2Pi}]