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;

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 );

[Maple Plot]

>

Animated view of the unit tangent, unit normal, and osculating circles

> animatemotion( x, y, PARAM, scene=[T,N,kappa], frames=18, numpoints=100 );

[Maple Plot]

>