The Mandelbrot set is a two-dimensional set. It is defined in the complex plane as the complex numbers c for which the function f c = z 2 + c does not diverge to infinity when iterated starting at z =
The Mandelbrot set plotted on the complex plane within a continuously colored environment
Gap between the "head" and the "body", also called the "seahorse valley"
Double-spirals on the left, "seahorses" on the right
The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function:
Detail of the Burning Ship fractal
High-quality deep-zoom image of a small ship in the armada in the left Western antenna of the main ship structure
Burning Ship deep zoom to 2.3·10−50
High-quality image of the Burning Ship fractal