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      At the Helm of the Burning Ship

      Proceedings of EVA London 2019 (EVA 2019)
      Electronic Visualisation and the Arts
      8 - 11 July 2019
      Burning Ship, Dynamical systems, Fractal art, Numerical algorithms, Perturbation theory


            The Burning Ship fractal is a non-analytic 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 root-finding method locates their mini-ships. Size estimates tell how deep to zoom to find the mini-ship or its embedded quasi-Julia set. Pre-periodic 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.


            Author and article information

            July 2019
            July 2019
            : 402-408

            London, UK
            © Heiland-Allen. Published by BCS Learning and Development Ltd. Proceedings of EVA London 2019, UK

            This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

            Proceedings of EVA London 2019
            EVA 2019
            London, UK
            8 - 11 July 2019
            Electronic Workshops in Computing (eWiC)
            Electronic Visualisation and the Arts

            1477-9358 BCS Learning & Development

            Self URI (article page): https://www.scienceopen.com/hosted-document?doi=10.14236/ewic/EVA2019.74
            Self URI (journal page): https://ewic.bcs.org/
            Electronic Workshops in Computing

            Applied computer science,Computer science,Security & Cryptology,Graphics & Multimedia design,General computer science,Human-computer-interaction
            Dynamical systems,Numerical algorithms,Burning Ship,Perturbation theory,Fractal art


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