IFS with Memory

Four copies of a 1-step memory picture in a 2-step memory picture

Exercise 2

(a) For the 1-step memory picture on the left, on the right we see the 2-step memory picture that reproduces the 1-step memory picture. We have seen that copying the 1-step memory table into each row of the 2-step memory table gives the same picture.
 
(b) Below we see that by copying the 1-step memory table into each face of the 2-step memory table, we obtain four copies of the 1-step memory picture, one for each of the length-1 address subsquares.
(c) There is one other obvious way to copy the 1-step memory table into the 2-step memory table: pasting into the columns.
Note that instead of the three lines of slope -2 we see in (b), here we have four lines of slope -4. The explanation of the presence of these lines is similar to that of Exercise 1(c).

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