This movie is a representation of x=cos(nt) and y=sin(t) with parameters of 75 steps and n=-25 through n=25

The patterns within the graph are all bounded within the square limited at -1, 1. Watch and see the different waves of constructions this function builds onto itself.

In this movie, x=cos(t) and y=sin(nt) with parameters of 50 steps and n=-25 through n=25.

Notice how the patterns seem to reach a stopping point unlike the the patterns above.