4-6.mws

Construct this figure:

>

> restart;

> x1:=cos(t);

x1 := cos(t)

> y1:=sin(t);

y1 := sin(t)

> x3:=cos(3*t);

x3 := cos(3*t)

> y3:=sin(3*t);

y3 := sin(3*t)

> m:=[[x1,y1],[x3,y3]];

m := [[cos(t), sin(t)], [cos(3*t), sin(3*t)]]

> t:=k*Pi/50;

t := 1/50*k*Pi

> plot([m$k=1..100],color=green,scaling=constrained,axes=none);

[Maple Plot]

>