You can impose a one-dimensional ordering on a finite state of any size. Drawing a parabola, for instance, yields a 2-D figure. But the process that draws it (on a computer) is 1-D:

    Start at the origin
    Move right X
    Move up X*X
    Make a dot
    If X = Screen.Width Stop
    X=X+1
    Repeat

There you go: a 2-D thing from a discrete sequence of 1-D steps. I hope you can see that it generalizes to N-D things.