Group Explorer
Posted by alpheccar - Jun 23 2007 at 13:48 CEST
If you like maths you'll love this free software : Group explorer.
Group Explorer helps you visualize groups, homomorphisms, subgroup lattices, and more.
The most common group visualization technique is the multiplication table; nearly every student has seen it and therefore it needs little introduction.
Cayley diagrams are a very potent but underused visualization technique, probably because creating them is difficult by hand. Group Explorer makes them easy to view and edit.
Cycle graphs show all the orbits in a group and the intersections among them.
Many small, finite groups describe the symmetries inherent in physical objects. Group Explorer's group library contains 3D visualizations of these objects for every such group.
Group Explorer can also illustrate homomorphisms and collections thereof in documents called sheets. You can edit sheets by dropping in your own group visualizations, homomorphisms, captions, and headings. Or let Group Explorer auto-generate a sheet to answer a specific question.
You can download group explorer here.
