From the graph of the logistic map, we see from bin1 (along the x-axis) this logistic map can iterate immediately to bin1, to bin2, and to bin3. (Above bin1 on the x-axis, the graph crosses through bin1, bin2, and bin3 on the y-axis.) So we see
from bin1 the logistic map cannot immediately iterate to bin4.
Recalling that the driven IFS applies the transformations in the order the bins are entered under iteration of the logistic map, we see
T4 cannot immediately follow T1.
As a result, in the driven IFS the square with address
41
must be empty.
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Continue to Markov Example, bin 2.
Return to Markov Partitions and Driven IFS.