This is an interactive playground where you can try out how the fractal changes
with respect to a hyper parameter *c*.

Points represent initial parameters to a function
\(f_c(z) = {z^2 + c}\)
where values quickly explode to infinity after iteration.

Those are called unstable points.

Example path is visualized from point *A* as initial input to function above.

Path represents the steps after each iteration.

If you move point *A* to a dotted zone, you will see that the path doesn't
converge to the center (point x=0, y=0), but instead goes to infinity.

Also try moving point *C* to change the hyper parameter and see how the fractal changes.