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Mandelbrot picture

by tc_fea, published

Mandelbrot picture by tc_fea Nov 29, 2012

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Mandelbrot picture by tc_fea is licensed under the Creative Commons - Attribution license.

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3081Views 272Downloads Found in Math Art

Summary

I have always been fascinated by the incredible complexity of the Benoit Mandelbrot set ever since I first saw it in the August 1985 issue of Scientific American.

It is a fractal that has incredible complexity no matter how close you zoom in on it. Unfortunately, I cannot do it justice with a 3D printer, but here is my attempt at it.

The rectangular layers are 0.6 mm tall which is appropriate for 0.3 mm layer height.

file: Mandelbrot_600_x_600.zip is 60 mm X 60 mm

the green and black photo is a two color print of the zipped .stl file.

The red and black photo is picture generated by the program I used to create the .stl.

Instructions

Sorry for the large (121 Mb) .stl file, but I did not have a good way to simplify the mesh.

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Not just incredible complexity, but Infinite complexity! No 3d printer or computer for that matter will ever do it justice. Very cool though, and immediately recognizable. A colored render will be a perfect torture test for the full color 3d printers of the (hopefully not too distant) future.

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