Hi Vitaliy, I have a sandbox with a general Fourier animator. It takes a formula for the coefficients (amplitudes and phases as functions of frequency), speed, and coloration. It isn't very fast because it colors one pixel at a time, emulating the Symbolics mathematically correct draw-triangle ALU-add microcode necessary for smoothly drawing moving edges. Mathematically correct means that, if two triangles share an edge, there will never be missing or overwritten pixels, and if the triangle is "inside out", the "bump" will be negated. (The trick is to consistently define exactly which pixels to bump.) With this primitive, you can then animate the movement of an edge segment simply by drawing two triangles filling the quadrilateral defined by the old and new positions of its endpoints. To draw a seamless T joint, just draw the "zero area" triangle formed by the constituent edges, which will usually add or subtract the "bump" constant to or from a few pixels. --Bill On Wed, Aug 31, 2016 at 2:51 PM, Vitaliy Kaurov <vitaliyk@wolfram.com> wrote:

Bill do you have full Mathematica code for these animations?

for the dyadic dragon (upper right element, /. a -> π/4 for true spacefill) gosper.org/DDrag.mp4 nor the peculiar 2x2 in gosper.org/gaskettalk.pdf (slides) for the Sierpinski Gasket & Co.: gosper.org/Base2alores-1.wmv gosper.org/Base2hires.mp4 (digits = {0,1,ω,ω^2}.)

Cheers, Vitaliy

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