This is the second (continued from Part 1) in a series of three blog posts. In the following we'll investigate a few properties of an object called Conway's topograph. John Conway conjured up a way to understand a binary quadratic form – a very important algebraic object – in a geometric context …

This is the first in a series of three blog posts. In the following we'll investigate a few properties of an object called Conway's topograph. John Conway conjured up a way to understand a binary quadratic form – a very important algebraic object – in a geometric context. This is by no …

Being unable to completely give up math for computers, I am naturally drawn to Project Euler and as a result solved a ridiculous number of the problems posted there while learning Python. A few months ago (March 13), after reading Secrets of a Javascript Ninja, I decided to begin converting …

It's official, I am a grown up!

http://code.google.com/apis/inapppayments/articles/index.html

I had no idea (until this Thursday, July 16 2011) that I had never seen a proof of the fact that the continued fraction expansion of $\sqrt{D}$ is periodic whenever $D$ is not a perfect square. But have no fear, I found out about something …