We found using the java doubling applet that the period of the
attracting orbit for attracting orbit at x ~ 0.71 is 4. The points
in the orbit are approximately 0.37, 0.5, 0.82, and 0.87. The ORDER
these points follow is 0.37 to 0.82 to 0.5 to 0.87 and back to 0.37.
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