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The Mandelbrottle

This is a shameless ripoff of an idea of Gabriel and Bernat at the ICERM Illustrating Math program.

They worked out how to use chimera to get an STL file from a multi image TIFF by stacking layers of voxels. Below we build a TIFF for importing in Chimera.

Each level set is a Julia set with the corresponding $c$ in $f_c(z) = z^2 + c$ on a circle passing through 0.

finished


Technical notes

  1. If you have have Anaconda then you shouldn't need to install anything except maybe svgpathtools

  2. Download the json files that contain the profile curve for a bottle and put them on your Desktop.

  3. Download Chimera. Theoretically we can use Chimera directly from a notebook with this package but it only works with python 2.7 and I'm tired of building environments.

  4. If you just want the TIFFs, don't want to have all the fun and/or pain, and know some skimage you can extract the layers from this GIF probably ;)

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