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Permalink science: Quasicrystals as sums of waves in the plane.
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Permalink intothecontinuum: A 2-coloring of what results from playing connect-the-dots with the complex numbers zn, for 0 < n < 140,  as z varies from ei2.9531 to ei2.96104. Mathematica code: ListAnimate[Table[ Graphics[ GraphicsComplex[ Table[ {-1^n*Sin[n*a], 1^n*Cos[n*a]}, {n, 0, 139}], Polygon[Table[i, {i, 1, 139, 1}]]], PlotRange -> .55, ImageSize -> 500],{a, 2.9531, 2.96104, .00026}]]