A Conversation for Mathematical Knots

Knot Classification

Post 1

Pavlov2009

Hmmm,

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.

smiley - smiley


Knot Classification

Post 2

Pavlov2009

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 ?



Knot Classification

Post 3

Gnomon - time to move on

I don't think the knot classification problem has been solved yet, although there has been quite a lot of progress on it.


Knot Classification

Post 4

tzjin_anthony_ks

I don't know about solving the classification problem, but here's a link to some software that does some interesting stuff:

http://www.math.utk.edu/~morwen/knotscape.html


Knot Classification

Post 5

Gnomon - time to move on

It's in Unix, though, and I haven't got unix.


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Knot Classification

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