This is a mechanical version of the ancient puzzle, the Towers of Hanoi. There are 8 pegs that can move either in or out (it actaully looks like a distributor cap off of an old V-8 engine). At the start of the puzzle, all 8 pegs are IN; the object is to work the puzzle until all 8 pegs are OUT.
Unlike the Towers of Hanoi, you cannot force any illegal moves. Notice how you can only move 2 pegs at every turn.
Solving the Brain:
Once again, you must become the HUMAN ALGORITHM, and obey the following rules:
In a nutshell, just make sure you do not slide the SAME PEG twice-in-a-row.
If you don't screw up, one of three things will eventually happen:
...but it doesn't matter. If you carefully pay attention to your moves, you will be able to scroll through all 256 configurations of the puzzle.
Notation: just slide the numbered peg either IN or OUT, as it can go only one direction anyway. Notice how each line is identical except for the last entry.