IFS with Memory

Single Lines

The IFS {T1, T2} has attractor the line segment from (0,0) to (1,0).

Consequently, this matrix generates the indicated line.

Note the endpoints of the line are the fixed points 1∞ and 2∞, whose presence we detect from the allowed transitions 1 → 1 and 2 → 2

Practice How many other single lines are possible with one step of memory?

Test your ideas with the software before looking at the answers.

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