Cyclic Driven IFS

3-Cycle in a different order

The sequence

T2 followed by T1 followed by T3?

produces sequences of points converging to the points

(1/7, 4/7), (4/7, 2/7), and (2/7, 1/7)

shown below on the left. For comaprison, the previous 3-cycle is shown on the right.

The same points are produced by any cyclic permutation of the original sequence. For example, the cyclic permutations of

T2 followed by T1 followed by T3,

are

T1 followed by T3 followed by T2,

and

T3 followed by T2 followed by T1.

Return to 3-Cycle in a different order.