Chaotic attractors exhibiting quasicrystalline structure

Abstract

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 dimensional symmetry of the corresponding attractor