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An extension of canonical projection allowing the projection of objects from higher dimensional space onto quasicrystalline structures is developed. In particular, we create symmetric chaotic attractors in 5-dimensionsal space and then project them to the plane such that the resulting image exhibits the structure of a quasicrystalline tiling. These images give a new visual expression of the higher...
Algorithms for creating a natural Voronoi tiling associated with point sets are developed. These algorithms provide additional information about the tiling which can be readily visualized. Images created in this way can be quite striking. We illustrate the application of the algorithms on fractals, lattices, and quasicrystals.
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