Mar 9, 2012
Circles generated by Mobius transform by Ed Pegg Jr.
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Circles generated by Mobius transform by Ed Pegg Jr.
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In this iterated function system, a Möbius transformation is applied in succession to the white circle yielding the blue and yellow circles. Varying the characteristic constant of the transformation gives the different arrangements seen in each frame of the animation. More IFS here GIF source: Java app