Applications

This post will be a collection of articles/resources on the applications of abstract algebra, which would be of general interest.  Feel free to send me links that you think should be included.


Coding theory:

1. (communications) NASA and Mars rover

Number theory:

1. (cryptography) Online banking security
2. (chemistry) balancing chemical equations using Diophantine equations.  

Group theory:

1. (chemistry) Molecules and Rubik's cube
2. hexaflexagon:
• a template
• instructions on folding (This is just one way to fold it? I found the instructions on this page easier to follow than those on some other webpages.)  This page also tells you how to flex a hexaflexagon.
• a YouTube video on the flexahexagon
3. braid groups:
• a braid applet by Stephen Bigelow