The Great Courses Plus free trial: http://ow.ly/RJw3301cRhU Cliff Stoll discusses a "Remarkable Theorem", Gaussian curvature and pizza. More links & stuff in full description below ↓↓↓...
========== CLIFF STONE: So, how come
we eat pizza the way we do? You know, as well as I do:
If I just hold it like this, it flops over. You know, as well as I do,
that if I curl it like this: I can eat. So, why do we eat pizza like this? Gauss. Gauss tells us why. What does Gauss has to do with it? Gauss came up with this absolutely nifty theorem called the Theorema Egregium. Also, in English, called the
Remarkable Theorem. Curvature is an intrinsic property of surfaces. Curvature? We all kind of know a curve is.
What's curvature? This piece of paper has no
curvature at all. Right? It's flat going this way, flat going this way.
We'll come back to that. What about a sphere? A sphere clearly has
curvature going outward this way, and an outward going...