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Animated Quasicrystal

From Wikipedia: "A quasiperiodic crystal, or, put succinctly, quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational symmetry. While crystals, according to the classical crystallographic restriction theorem, can possess only two, three, four, and six-fold rotational symmetries, the Bragg diffraction pattern of quasicrystals shows sharp peaks with other symmetry orders, for instance five-fold." This quasicrystal has 29-fold rotational symmetry and is made by rotating 29 plane waves by π/n for n=1 to 29 and adding them all together. The basic idea behind this animation is that the pixel at (x,y) is determined by f(x,y)=Σ sin(x cos(π/n) - y sin(π/n) + θₙ) with each f(x,y) rescaled to lie in the range [0,1]. The animation is made by transitioning through several color gradients and rescaling methods, while being parametrized by the individual phases θₙ. Another animation with 7-fold symmetry can be found here:    • Quasicrystal Animation with Mathematica   ---------------------------------------------------------- The music is "Explore, be curious" by Cloudkicker, available under the Creative Commons Attribution license. http://cloudkickermusic.com/track/exp... http://creativecommons.org/licenses/b... http://cloudkickermusic.com/ http://blog.cloudkickermusic.com/   / bmsharp