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More information on the particular fractal project I worked on is available
here.
The object built is a subdivision surface, where multiresolution perturbations on the itterative meshes were performed
to obtain a mesh of quasi planar elements.
Some information on subdivision surfaces is available
here.
Some information on the software I programmed which generated this structure is available
here.
Credits to Ivo Stotz, Gilles Gouaty, and Benoit Cochaud who also worked on this project.