Here are three web pages with discussions of the Catalan numbers.
This is reference to an article by Vaughan Jones on the Jones polynomial.
The Jones polynomial
Here are two links to web sites on knots.
This is a link to Dror Bar Natan's web site on knots and their invariants.
This is an article celebrating the 50th anniversary of Onsanger's solution of the Ising model and explaining the significance of this achievement.
Here is a collection of links to pages with a Java Applet which
simulates the Ising model.
Here are three links to simulations of the Potts models.
This is a prototype for a program to draw knots.
This prototype was writen by my brother Nigel Westbury.
Nigel's link drawing program
This is a program for drawing a knot and calculating the Jones
polynomial. First draw the knot by clicking on a sequence of
points on the grid. This will give the unknot. However if you click
on a crossing it will change the type. When you have done this at
a number of crossings you may get a non-trivial knot. You can test
this by calculating the Jones polynomial.
Back to Bruce Westbury's Home Page.