I wasn't entirely sure where to post this so I guessed here would be the best place.
See the figure attached for the problem statement.
How do you go about solving a problem like this? There must some sort of proof to go along with it explaining how this undoubtedly the maximum number of 5 cell figures, right?
I'm not doing a math degree or anything so maybe this is a common type of problem in a certain area of mathematics.
Can somebody help clear things up? A start at the problem would be nice!