Example 2: A Hypocycloid (Ex. 3, p 584, Varberg, Purcell, Rigdon)
Example 3 (p. 584): Hypocycloid given by
> x := 8*cos(t)^3;
> y := 8*sin(t)^3;
> PARAM := t = 0..2*Pi;
>
Animated graph of the curve
> animatecurve( [x,y, PARAM], scaling=constrained, frames=36, numpoints=100 );
>
Animated view of the unit tangent, unit normal, and osculating circles
> animatemotion( x, y, PARAM, scene=[T,N,kappa], frames=18, numpoints=100 );
>