Main body of the Burning Ship fractal; window-coodinates: -1.25< cx < 2.25; -0.75 < cy <1.75; initial condition: x0 = y0 = 0

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: Image File history File links Download high resolution version (1710x1146, 123 KB) Summary The Burning Ship Fractal was first described and created by Michael Michelitsch and Otto E. Rössler in 1992 on a IBM Personal System/2, Modell 80 (with math. ... Image File history File links Download high resolution version (1710x1146, 123 KB) Summary The Burning Ship Fractal was first described and created by Michael Michelitsch and Otto E. Rössler in 1992 on a IBM Personal System/2, Modell 80 (with math. ... Image File history File links Download high resolution version (1698x1152, 169 KB) Summary The Burning Ship Fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992 on a IBM Personal System/2, Modell 80 (with math. ... Image File history File links Download high resolution version (1698x1152, 169 KB) Summary The Burning Ship Fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992 on a IBM Personal System/2, Modell 80 (with math. ...

in the complex c-plane (initial condition z=0) in analogy to the standard Mandelbrot set. This mapping is non-analytic because its real- and imaginary parts do not obey the Cauchy-Riemann conditions [1]. A rendering of the Mandelbrot set: black points represent the stable points under the iterative map In mathematics, the Mandelbrot set is a fractal that is defined as the set of points c in the complex plane for which the iteratively defined sequence does not tend to infinity. ...

References

• [1] Michael Michelitsch and Otto E. Rössler, The "Burning Ship" and Its Quasi-Julia Sets, Computers & Graphics Vol. 16, No. 4, pp. 435-438, 1992, reprinted in [2]
• [2] Clifford A. Pickover Ed., Chaos and Fractals: A Computer Graphical Journey - A 10 Year Compilation of Advanced Research. Amsterdam, Netherlands: Elsevier 1998. ISBN 0-444-50002-2

External Links

• Michelitsch Fractals -- A collection of fractals created by Michael Michelitsch
• Representation of the Burning Ship fractal by Paul Burke
• About properties and symmetries of the Burning Ship fractal, featured by Theory.org
• Bunrning Ship fractal zoomer by Jetro Lauha