Mathematica code:

P[t_] := (1 + 0.9 Cos[8 t]) (1 + 0.1 Cos[24 t]) (0.9 + 0.05 Cos[200 t]) (1 + Sin[t])

T[t_] :=
If[0 < t < 17, .01 t,
If[16 < t < 25, .2 + .1 (t - 16)/2,
If[24 < t < 35, 0 + (t - 24)/2,
If[34 < t < 45, -3 + 20*(t - 34)/2, 0]]]]

ListAnimate[
Table[
Show[

PolarPlot[
Evaluate[
Table[
(T[Mod[s, 45]]*1/.85^n)*P[t],
{n, 0, 20, 1}],
{t, -Pi, Pi}],
PlotRange -> {{-7.5, 7.5}, {-4.3, 15.7}},
Background -> Black, Axes -> False, ImageSize -> 500],

PolarPlot[
Evaluate[
Table[
(T[Mod[s + 5, 45]]*1/.85^n)*P[t],
{n, 0, 20, 1}],
{t, -Pi, Pi}],
PlotRange -> {{-7.5, 7.5}, {-4.3, 15.7}},
Background -> Black]],

{s, 1, 45, 2}]]
Filed under: #420  #GIF  #Mathematica  #IFS

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