Here are the animations of Lissajous curves generated by
these
programs:
(x(t),y(t))=(cos(2*pi*t/T),sin(2*pi*t/T))
(x(t),y(t))=(cos(2*pi*t/T),sin(pi/2+2*pi*t/T))
(x(t),y(t))=(cos(2*pi*t/T),sin(pi/4+2*pi*t/T))
(x(t),y(t))=(cos(2*pi*t/T),sin(pi/4+2*2*pi*t/T))
(x(t),y(t))=(cos(3*2*pi*t/T),sin(8*2*pi*t/T))
(x(t),y(t))=(cos(7*2*pi*t/T),sin(22*2*pi*t/T))
Click
here
for the source files (you need a UNIX machine with zsh, gnuplot and netpbm).