Astroid Involute

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Curve

astroid={Cos[t]^3,Sin[t]^3};

TrigReduce[astroid]

FullSimplify[Involute[astroid,t]]

FullSimplify[TrigExpand[%]]

Plot

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