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This video shows 52 seconds of continuous variation of the parameter a in the code given below. Jump in!

Music: “Pulses” by Steve Reich

r = .98

8.3 ≤ a ≤ 8.6

s = 600

Mathematica code:

Manipulate[
Graphics[
Line[
Table[{-r^n*Sin[n*a], r^n*Cos[n*a]}, {n, 0, s}]],
PlotRange -> .01],
{r, .1, 1}, {a, .001, 4*Pi, .001}, {s, 1, 800, 1}]
 
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