Hypocycloid Evolute

Author

Eric W. Weisstein
March 16, 2008

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

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

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

Equation

Evolute[Hypocycloid[{a,b},t],t]//FullSimplify

Plot

Show[GraphicsArray[
Partition[Block[{$DisplayFunction=Identity},
Table[
EvolutePlot[Hypocycloid[{1,1/n},t],{t,0,2Pi}],{n,3,10}]
],4]]]