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PROFESSOR: OK, its always disappointing when, just as you're ready to tie everything up in a nice, neat little package and leave the room to a round of applause, you screw up the last little detail. Anyway, what's wrong here is, I said for an arbitrary rotation around X3, and I'm comforted only by the fact that nobody else caught this little glitch either, the answer elements are a11, a11, a33, a12, not 0, and -a12, 0, 0, 0, 0. So there's a skew-symmetric form when there's just a single rotation axis. So this would be asymmetry n and this would be one of a family of two different symmetries, the dihedral groups n22, the two-fold axes would require that these be equal, so, 0, 0, 0, a11, 0, 0, 0, a33. So this is not the form of the tensor for a four-fold axis, it's the form for a crystal with symmetry 422. And same for a three-fold axis. This is the form for 32 and 622. For just the single rotation axis of any sort other than 2, these two terms are e...

BARBARA IMPERIALI: I always like to just remind you that the sixth -- it's kind of an assignment, but the numbers-- we're going to do this news brief project, where it's a teamwork project if you choose. If you take a look at the piece that you have in your hands now, it asks you for a little bit of information on that, who you're going to be working with, if you choose to work with someone. Or you can work on your own. That's fine. And we're looking to get a news brief that's of significance to research going on in the life sciences. And I've given you-- there are a couple of links in the sidebar of the website, so good places where you can find interesting material. What I'm super interested in for you, as a group where many of you are in the engineering fields, is to find something really cool at the interface between the life sciences and engineering, where engineering has a huge impact on the life sciences. You have alternatives. Y...