Each of the white circles are really just moving back and forth along a straight line. The second animation shows the same exact motion, but with straight lines added to make the linear motion obvious. Inspired by the Tusi-couple.

Mathematica code:

Manipulate[ Graphics[  {{Black,    Disk[{0, 0}, 1.05]},   Table[    {White, Opacity[o],     Line[      Table[1.05 s {Cos[n*2 Pi/m], Sin[n*2 Pi/m]}, {s, -1, 1, 2}]]},    {n, 1, m, 1}],   Table[    {White,     Disk[      Cos[2 Pi (t + n/m)] {Cos[n*2 Pi/m], Sin[n*2 Pi/m]}, .05]},    {n, 1, m, 1}]},  PlotRange -> 1.1, ImageSize -> 500], {{m, 16}, 1, 20, 1}, {{o, .5}, 1, 0}, {t, 0, 1}]
Filed under: #circles  #phase  #GIF  #Mathematica  #Tusi

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