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A simple algorithm giving an interesting Mandelbrot set

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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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References

  • 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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