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« The Poincaré Conjecture | Main | What are your thoughts? »

10 September 2006

The Tenth Dimension

The semester is about to start, which means it is math camp time at the Government Department. The very first topic is usually an introduction to dimensions, starting from R1 (lines), to R2 (planes), to R3 (3D planes), to R4 (3D plane plus time). Here is a nice flash animation (click on “imagining ten dimensions” on the left) that takes you a step further, from zero to ten dimensions in less than 5 minutes (including cool visual and acoustic effects). It doesn’t necessarily become more graspable as you ascend ... :-)

Posted by Jens Hainmueller at September 10, 2006 8:26 AM

Comments

A very fun demo. But let's take it one step further: what are the implications for social science statistics research? I think it just shows how hard it is to justify very high order models. I mean, if you can justify every possible big bang, every possible ending and every imaginable path between different starting and ending points in 10 dimensions, then how can my model for voter turnout have 5 dimensions?

The analogy is especially compelling if you assume that all social and psychological phenomenom work through physical processes. Isn't the matter in your brain also made of the same superstrings as everything else in the universe?

Anyway, thanks for alerting me to this site and book.

Posted by: Michael Weiksner at September 15, 2006 2:06 PM