Burning Ship Fractal


The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function:

in the complex plane which will either escape or remain bounded. The difference between this calculation and that for the Mandelbrot set is that the real and imaginary components are set to their respective absolute values before squaring at each iteration. The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy–Riemann equations.


Burning Ship Fractal renderings
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 2.3e-50
The Burning Ship fractal
A zoom-in to the lower left of the Burning Ship fractal, showing a "burning ship" and self-similarity to the complete fractal.
A zoom-in to line on the left of the fractal, showing nested repetition (a different colour scheme is used here).
High quality image of the Burning Ship fractal.
The Burning Ship Fractal featured in the 1K intro "JenterErForetrukket" by Youth Uprising; a demoscene production.

Famous quotes containing the words burning and/or ship:

    “[Panurge] spent everything in a thousand little banquets and joyous feasts open to all comers, particularly jolly companions, young lasses, and delightful wenches, and in clearing his lands, burning the big logs to sell the ashes, taking money in advance, buying dear, selling cheap, and eating his wheat in the blade.”
    —François Rabelais (1494–1553)

    “I do not know if you remember the tale of the girl who saves the ship under mutiny by sitting on the powder barrel with her lighted torch ... and all the time knowing that it is empty? This has seemed to me a charming image of the women of my time. There they were, keeping the world in order ... by sitting on the mystery of life, and knowing themselves that there was no mystery.”
    —Isak Dinesen [Karen Blixen] (1885–1962)