3D
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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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2023 Jun 28. s.27