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 …

OK, maybe not for the greater good, but still fun. This first post will be relatively short and sweet, intended to give an introduction for the posts that will follow.

Before the introduction, some motivation courtesy of Wikipedia:

...decimal representation has some problems. One problem is that many rational numbers …