intothecontinuum:

Mathematica code:
Animate[  DensityPlot[    Sin[100*Abs[(x + I y)^n]],     {x, -2.5, 2.5}, {y, -2.5, 2.5},   PlotPoints -> 30, Mesh -> False, Frame -> False, ColorFunction -> Hue], {n, .7, .74}]

intothecontinuum:

Mathematica code:

Animate[
DensityPlot[
Sin[100*Abs[(x + I y)^n]],
{x, -2.5, 2.5}, {y, -2.5, 2.5},
PlotPoints -> 30, Mesh -> False, Frame -> False, ColorFunction -> Hue],
 {n, .7, .74}]
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