Astroid Evolute

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Equation

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

TrigReduce[astroid]

FullSimplify[%]

FullSimplify[Evolute[astroid,t]]

TrigReduce[%]

Plot

EvolutePlot[astroid,{t,0,2Pi},PlotPoints->75]