This animation allows you to explore transforms of a complex variable such as
w = f(z). For example, the transform that displays whenever you refresh this page is
w = z2.
You can enter your own transforms by pressing 'edit' and editing the line that
says w = z2. You can also change colours and controls here. Try 'z useMouse',
for example, if you would like to move z around with the mouse. Press 'Run' to
exit the editor.
Normally, it's easier to drive the red z point around with the keyboard ('z useKeys'). w will
then draw its moves in greeny blue. Both z and w lie at the base of their flag
pointer. The flag tells you where they will jump to next when you press space.
Keystrokes
Space: Jumps forward by the length of the flag pointer