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Fractal Movies
Here are some movies produced by John O'Connor displaying some selfsimilar fractals in three dimensional
space. They are all attractors of iterated functions systems based on
similarity transformations that map the unit cube onto four subcubes of sidelength one half with
different orientations of the similiraties selected.
They all have Hausdorff dimension 2. For some underlying
theory see the paper 'Symmetry and enumeration of selfsimilar fractals' by
K.J. Falconer and J. O'Connor,
Bull. London Math. Soc., 39 (2007), 272282.
