Pulstar
Slice/Dice
Although devoid of any familiar fractal features this image is very much related to them. It neatly visualizes what happens to zₙ points that start near the bifurcation point c=-¾ (shown in the middle). Almost all of the orbits near this point are stable and they follow a curiously magnetic looking pattern as they are repelled outward from the center, only to end up ping-ponging between the two luminous lines of stability growing on either side of the repelling central point. Amidst all this stability the orbits escaping to infinity can do so only along the imaginary axis — straight up or straight down in this image. In more conventional Mandelbrot renderings these two pathways make up the two sharp ridges that separate the main cardioid from the period-2 bulb also known as the 'Seahorse valley'.