We did a project called “A Cycle of Differences”
Here is a link to the project sheet:
We did LOTS of experiments.
We found an example of a starting square that lasted 8 or 9 steps. We also found what happens for all possible ways of starting with 0’s and 1’s.
We also investigated whether it was possible to “work backwards”.
We found that a starting triangle ended at a different stable pattern.
We also investigated a starting pentagon.