Deltoid Involute

Author

Eric W. Weisstein
March 16, 2008

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

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/DeltoidInvolute.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[Involute[deltoid,t]]

Plot

InvolutePlot[deltoid,{t,0,2 Pi}]