Programs for use
some programs that have been written for me to aid or
support my research, by students at UNSW. Thanks to
Thai Son Hoang, Michael Leeming, Ben Hutchinson and
Alex Ma for their fantastic programming contributions!
Note for Internet Explorer: To use these you need to
download Sun's Java Runtime environment from their website
The mutation and numbers game
(Thai Son Hoang)
These applets play the mutation
games and numbers games, which
are remarkable games that one can play on graphs, closely
connected to Lie groups and Lie algebras, representation
theory, and much else besides.
Finite geometry sketch pad (Alexander
This applet allows you to draw lines, circles and hyperbolas
in the plane over a finite field with p elements, where
p is a prime that you input. It is largely self-explanatory.
Diophantine equation solver
This applet allows you to solve rather general Diophantine
equations, particularly over finite fields, but also
sometimes over the rationals. It is based on the Power
method, developed by N J Wildberger, and described in
Ellipson motion (Thai Son Hoang)
This applet shows two dimensional slices of the ellipson,
a lovely surface which arises from the Triple spread
formula in rational trigonometry.