Monthly Archives: January 2008

Recounting the Rationals, part III

Posted on January 24, 2008 by Brent

First, a quick recap: continuing an exposition of the paper Recounting the Rationals, we’re investigating the tree of fractions shown below (known as the Calkin-Wilf tree), which is constructed by placing 1/1 at the root node, and giving each node … Continue reading →

Posted in number theory, pattern, proof, recursion | 10 Comments

Fun "mathemagic" video

Posted on January 12, 2008 by Brent

For something on the lighter side, here’s a fun video that I’ve seen linked to from a number of places. It’s a video of Arthur Benjamin, a math professor at Harvey Mudd College, performing a fifteen-minute “mathemagics” show. He multiplies … Continue reading →

Posted in computation, links, people, video | 1 Comment

Recounting the Rationals, part II (fractions grow on trees!)

Posted on January 7, 2008 by Brent

Today I’d like to continue my exposition of the paper “Recounting the Rationals”, which I introduced in a previous post. Recall that our goal is to come up with a “nice” list of the positive rational numbers — where by … Continue reading →

Posted in infinity, number theory, pattern, recursion, sequences | 22 Comments

Next Carnival of Mathematics

Posted on January 3, 2008 by Brent

The next Carnival of Mathematics will be hosted at Ars Mathematica on January 11. It’s not too early to send in your submissions!

Posted in links, meta | Comments Off on Next Carnival of Mathematics