Mandelbrot Fractal Relief
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A 3D relief of the Mandelbrot set
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Model information
- Source
- Printables
- Category
- Math
- License
- Creative Commons — Attribution
This is the famous Mandelbrot set extruded into the 3rd dimension. The height is proportional to the number of iterations before escaping. It was made by using MandelMachine software with a grayscale coloring and then using a custom Python script to convert it to an STL file. You can vary the z-scale to whatever looks best to you. There are two models with different resolutions - the high resolution one has corner rounding cutouts which is why the preview looks odd. You can also cut the model at various heights to change which boundary is used as the outline.
For those interested, the script converts each pixel to a vertex with a height given by the grayscale value It then determines if neighboring pixels are in the same plane and deletes ones that aren't needed. This reduces the file size considerably. It then takes the perimeter vertices and drops them down to a plane under all the rest in order to make a manifold object.
See also my Julia Set model.