Proceed to Safety


Robert P. Munafo, 2023 Mar 20.

Rendering the Mandelbrot set in three dimensions requires the addition of a "height" for each pixel or point on the complex plane.

The common way to do this is to use the dwell as a height. This results in a surface with terraced levels and jump discontinuities along every lemniscate, because the dwell is always an integer (see also dwell bands).

For a more naturally three-dimensional surface, compute a real-number "height", using a real-valued dwell calculation, then apply an embossed rendering. See those articles and representation methods for more details.

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From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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