A Conversation for Mathematical Knots
Pavlov2009 Started conversation Feb 21, 2009
I'm not a mathematician, (I'm a teacher) but when I was at university 10 years ago, one of the things I did in my spare time was to write a computer program to classify knots. (Well I thought they were knots, but from what I read here they were threads, ie: open ended knots.
The intention was to write a computer game where users could create new knots and see if they had allready been named. I won't go into detail here but it worked by scanning the crossovers and untangling the thread (and the crossover notation) to it's simplest form.
I eventually abandoned the idea to make a game out of it becuase of my studies, and because I assumed with a little light reading that knot classification had allready been achieved.
My question is, is the difference between classifying threaded lines and knots really so different ? If it isn't maybe I should resurrect the program because maybe possibly it has some potential after all.
Pavlov2009 Posted Feb 21, 2009
Ooh - In my excitment I didn't read all the info properly. My threads were knots as they were fixed at each end and it seems what I was doing was an attempt to establish the invariants. Am I right in assuming that this can be done allready using a computer and that the problem here is to devise shorthand mathematical symbols and procedure to do the same ?
Gnomon - time to move on Posted Feb 21, 2009
I don't think the knot classification problem has been solved yet, although there has been quite a lot of progress on it.
tzjin_anthony_ks Posted Feb 23, 2009
I don't know about solving the classification problem, but here's a link to some software that does some interesting stuff:
Gnomon - time to move on Posted Feb 23, 2009
It's in Unix, though, and I haven't got unix.
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