IFS with Memory - Exercises

1-step memory
Pairs of horizontal, vertical, and diagonal lines. Each endpoint of these lines is a fixed point of one of the Ti. Each line in the pair can be created independently of the other.
Are there other possibilities? We have just seen pairs of lines with endpoints a pair of fixed points, and in the sample pairs of lines with endpoints on each side generated by a 2-cycle. What about a fixed point and its image?
What happens if we try to combine some of these lines?
Here we identify romes in IFS images.
2-step memory
Here we find 2-step memory table that generates a 1-step picture.
For a given 1-step memory IFS picture, how can we build four small copies of this picture using 2-step memory IFS?
Here we ask if a given picture produces with 2-step memory can be generated with 1-step memory.

Return to IFS with Memory Lab.