Mathematics is not one of my strengths; if I put my mind to it I can get by,  but I lack the discipline to become skilled at it. I’ve read some calculus and algebra and combinatorics and statistics and whatnot, but in general I’ve just taken some courses only to forget everything I’ve learned shortly afterwards. The only maths I use regularly, except for simple arithmetic, is trigonometry. (It’s quite useful for 2D games.)

Logic is a completely different matter though. My job as a software developer at a Large Multi-National Corporation(TM) demands that I keep many of my skills sharp: the ability to juggle many ideas and projects, the ability to deal professionally and courteously with customers, and the ability to drink copious amounts of tea. Oh, and let’s not forget the ability to actually write code. Many non-programmers seem to think that maths is necessary for programmers, but in reality it’s logic that’s in high demand.

Speaking of skills at work, another thing that I tend to do there is solve sudokus. I find great comfort in spending my lunch breaks listening to the ongoing conversations while I solve a sudoku and – if something interesting pops up – add something to the discussion. Solving a sudoku is relaxing; you know that it’s solvable as long as you apply some logic, so you can take your mind off the possibly-unsolvable problems facing you in real life. At one time I did many sudokus per day, but now I limit myself to at most one for the sheer pleasure of it. A friend of mine mentioned that sudokus can be used to measure stress as well: if you find yourself taking too long on a standard sudoku, it might be an indication that you’re too stressed to think straight at the moment. True enough, but I find that if I’m too excited about something it also makes it hard to concentrate on the problem at hand. But then again, I suppose that that could be classed as stress as well, albeit of the positive kind.

Incidentally, speaking of sudokus, did you know that Benjamin Franklin used to amuse himself with mathematical puzzles similar in principle to sudokus when he was not busying himself with inventing just about everything you could imagine? Read the article and be amazed at the 16-by-16 magic square with bent rows that Franklin devised. You know about the magic square, where each line has to add up to 15? This is a magic square where each line has to add up to 2056. And all the coloured areas also have to add up to 2056. I’m just shaking my head at the complexity of the puzzle.

Read the article above to see more puzzles.

At one time I was pondering if I could devise a meta-puzzle game, where each puzzle mechanism would be unique, and one part of the problem would actually be to figure out the rules themselves. I started examining the sudoku to get inspiration, and quickly decided that it’s above my current skill to actually bring that idea to life. The idea is seductively simple: create a formal definition of the sudoku, and then expand that definition to encompass other mathematical puzzles. After you have created a suitable grammar of mathematics puzzles, you simply create a generator for new exciting puzzles. But in reality, this is much too complex for a layman in mathematics.

However, after having read about Franklin’s exploits in the puzzle domain, I wonder if this would have been something he would have enjoyed to create.

This entry was posted on Sunday, January 27th, 2008 at 10:22 pm and is filed under Observations, Science, Software Development. You can follow any responses to this entry through the RSS 2.0 feed. You can leave a response, or trackback from your own site.