Orbits of Martin's Map
All Locator objects can be hidden for a 'cleaner' plot. The PlottingRange can be changed to Full to include all points from all orbits.
The Martin map equations were taken from:
M. Trott. The Mathematica GuideBook for Programming, Springer-Verlag, New York, 2004 (pages 347-349)
Barry Martin: Graphic potential of recursive functions ( J. Landsdown, R. A. Earnshaw (eds.). Computers in Art, Design and Animation, Springer-Verlag, New York, 1989 (pages 109-129)
"Orbits of Martin's Map" from The Wolfram Demonstrations Project
Contributed by: Erik Mahieu