Michael Hartley's Maths Page

• Dr Mike's Math Games for Kids
• Automated ODE Example Generator - an infinite number of worked examples of solving ordinary differential equations.
• Here's some nice pics of a four dimensional torus
• Thesis related material - Stuff relating to my PhD.
• Would you like to know what maths is? Well, this may not tell you, but at least you'll know what kinds of stuff go to make it up. The AMS Maths Subject Classification (2000).
• Some Newton's Method Fractals
• New Improved Puzzles page! Try your best! The original group theory puzzles are available here.
• Games and Puzzles for kids at Dr Mike's Math Games for Kids!
• The UWA Maths Department Home Page. This is the place where I learned to love maths...
• Recent Additions: Find your name in the digits of pi! Or in e!. Or see a Javascript Countdown to Y2K... with a difference! Fully y2k compliant (still running and relevant). Or learn how to install libgmp version 2 under MS-DOS... [almost]
• See the DotPlacer Applet, which will help you learn about cubic splines, or polynomial interpolation, or the voronoi diagram, or many other mathematical constructions...
• Another applet, this time for reducing systems of polynomials!
• Search for prime numbers! I have placed a coordinated search for large prime numbers online. Feel free to browse! If you want to join in, be sure to read the Help and Introduction section.
• Speaking of Prime Numbers and Voronoi Diagrams, why not check out the Voronoi Diagram of the Ulam Prime Spiral?
• See a list of my research publications.
• See the Atlas of Small Regular Polytopes (polytopes of size 1792 recently added).
• See Blog Entries about Maths.
• See a joke article I wrote for a joke encyclopedia.
• Here's a new website I'm building all about rubik's cubes. See how to dismantle and reassemble your cube....!
• See why e^ix equals cosx+isinx or
• Why a second order ODE must have two independent solutions? . (Warning : Assumes some knowledge of calculus.)

Have fun!!

The picture above is an animation of what happens when we slice a four dimensional cube into thin cross-sections, moving from one corner to an opposite corner. If this makes no sense, try emailing me, and see if I can answer any questions you may have about it...