Back to the basics of problem solving: the jigsaw puzzle.
June 16th, 2009I recently had a pressing need to return to one of my youth’s favourite pass time: the jigsaw puzzle. I, shamefully, never realised that this was related to the basics of problem solving. So here are my observations from the latest jigsaws I did.
You need a big picture to build a mental representation of the problem. This enables to make sense of the various pieces and enables to organise them in groups. The big picture also drives the resolution strategy such which elements to tackle first, the big groups and how they relate to each other.
You have a frame. That is a given constraint of the problem. It is usually useful to build the frame first but it is not necessary. The simple knowledge it exists is fundamental.
When I am assembling a puzzle I typically go trough iterative sorting, producing finer and finer sub groups with the pieces. This is enabled by the big picture and by the knowledge that is acquired over time of how the pieces relate to the big picture.
I proceed to the assembly in groups that are easily identified. I do not force the issue of finishing a group though. If a lot of pieces are missing, it is an opportunity to iterate on pieces sorting. If only a few pieces are missing, I will opportunistically gather them in a future sorting operation.
Sometimes I build small groups without knowing exactly how or where they fit in the big picture. Such groups are attached to other groups later on, after some more overall progress has been done.
Sometimes I misplace a piece. This usually happens in uniform parts of the puzzle, trying too hard to put pieces with little correlation from the neighbouring pieces. This leads to rework. It happened to me recently that I discovered the misplacement when trying to put the last piece. Resolution requires a careful inspection of how the other pieces fit together.
When a group is too difficult or proves elusive (such as a large area of a single colour), I alternate pointed and organised attempts at finishing it and pauses to resolve other parts. This usually means that they are the last parts finished. Usually at that point a spectator would be able to relate the puzzle and the big picture.
Although puzzles are significantly better structured and simpler than real life problem, I find that I apply a lot of the same strategies in my daily work. What do you think ?
