Hello Sage-marketers!
I've recently finished a second animation project with Sage, and I
thought some of you might be interested. This is based on my first
project showing the Hopf fibration, but this time we look at the 7-
sphere fibered by the 3-sphere over the 4-sphere. This is the
dimension in which Milnor first constructed exotic differentiable
structures, and the video gives a way of visualizing the difference
between standard and exotic 7-spheres.
The introductory slides were produced with beamer, but the rest of the
video was produced with Sage! I was invited to show this video during
the recent Abel prize conference in celebration of Milnor's work -- I
hope this was some good publicity for Sage :)
Here's the youtube link:
http://www.youtube.com/watch?v=II-maE5HEj0
And here's my website, with some further details:
http://www.nilesjohnson.net/seven-manifolds
best,
Niles