What are the haps my friends

October 19th, 2007: A bunch of people sent me examples of situations in which addition is non-commutative: nonabelian groups, rotating objects in 3D space (try it! Pick up a book and rotate it 90 degrees left and then 90 degrees away from you, and then try the rotations in the opposite order: the book ends up in different positions, so the order in which you "add" the rotations together matters), non-commutative geometry and so on. That last one is interesting because it has a real-world application too: walking on a curved surface (like on a hill, or on our planet). If you start at the equator and go 1000k north and then 100k east, you'll end up in a different position than if you go east first and then north. So there's some math that doesn't commute and has the added benefit of having real-world applications! So that's something, huh?

Thanks to everyone who emailed me explanations! I haven't written you all back but I've read them all. I'm getting to the point where I can't respond to all the email I receive, and I'm already about a month behind, but I'm hoping to catch up.

YOU LIKE TO READ: Probably, huh? Well GOOD NEWS: my book To Be or Not To Be (choose-your-own-path Hamlet!) is in the new Humble eBooks Bundle! Up to FIFTEEN books at a pay-what-you-want price, plus you support charity (and artists)! Definitely worth checking out, if you ask me.

NEW SHIRTS: As you may have noticed, I've spent the past all this year coming up with a new shirt design every month. Then I sold them for two weeks only! But now they're BACK... for two weeks only. Check them out! There are some PRETTY FRIGGIN' AWESOME shirts here. There's also a new one about dating, kinda?

One year ago today: can i - can i be a fictional character please

– Ryan

big ups and shouts out