Abstract
The Mandelbrot set derived from a particular a cubic function has a fractal boundary. The function is produced implicitly by removing a statement from the algorithm needed to calculate Mandelbrot's well-known quadratic function.
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Mandelbrot BB (1980) Fractal aspects of the iteration of Z ↦ λZ(1 − Z) for complex λ andz. Ann of NY Acad Sci357:249–259
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Tippetts, J.R. A simple algorithm giving an interesting Mandelbrot set. The Visual Computer 8, 200–201 (1992). https://doi.org/10.1007/BF01902140
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DOI: https://doi.org/10.1007/BF01902140