# At The Helm Of The Burning Ship
Conference paper at EVA London 2019.
# 1 Citation
Claude HeilandAllen. At the Helm of the Burning Ship. 2019. DOI: 10.14236/ewic/EVA2019.74
# 2 Abstract
The Burning Ship fractal is a nonanalytic variation of the Mandelbrot set, formed by taking absolute values in the recurrence. Iterating its Jacobian can identify the period of attracting orbits; Newton’s rootfinding method locates their miniships. Size estimates tell how deep to zoom to find the miniship or its embedded quasiJulia set. Preperiodic Misiurewicz points with repelling dynamics are located by Newton’s method. Stretched regions are automatically unskewed by the Jacobian, which is also good for colouring images using distance estimation. Perturbation techniques cheapen deep zooming. The mathematics can be generalised to other fractal formulas. Some artistic zooming techniques and domain colouring methods are also described.
# 2.1 Keywords
Burning Ship. Dynamical systems. Fractal art. Numerical algorithms. Perturbation theory.
# 3 Paper
The paper is available as open access from scienceopen.com.
A local mirror is here: AtTheHelmOfTheBurningShipPaper.pdf.
# 4 Slides
The slides are here: AtTheHelmOfTheBurningShipSlides.pdf.
# 5 Software
Related software is et (Linux) and Kalles Fraktaler 2 + (Windows, inc. WINE).
As of 2024, these are both abandonware, current development is in Fraktaler 3.
# 6 References
Many references in the paper PDF have linkrotted. Here they are with added archived versions:

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