The next simplest repeated sequence is
121212... = (12)∞.
Applying T1 and T2 alternately produces a sequence of points
converging to two points along the x-axis. |
![](CyclicIFS12.gif) |
Click on the picture to see the animation generating the 2-cycle. |
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Here are some sequences of points generated by other 2-cycles. |
![](CyclicIFS13.gif) |
![](CyclicIFS14.gif) |
(13)∞ |
(14)∞ |
![](CyclicIFS14b.gif) |
![](CyclicIFS24.gif) |
limit points of (14)∞ |
What cycle is this? |
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