Inspired by a link from here, I just sent my multivariable calculus kids an email.
I ran across something so neat I wanted to share it with you immediatamente! Google the “Philips Pavilion” — either in regular Google or Google Images. A stunning building.
Also, a mathematical building. HELLO HYPERBOLIC PARABOLOID!
I love this model that someone, somewhere built. I mean, it’s simple enough that one of you could build it. And the best part is… You can talk about the math and PROVE that the mesh forms a hyperbolic paraboloid. Anyway, and idea for a final project.
Last year I worked with Ms. TEACHER on a simpler problem — given this set of lines, what curve does this trace out:
In other words, what’s the equation of the blue line:
(In case you cared, we got using some nice calculus.)
In any case, I see this as the 3D extension to that problem.
So keep it in mind for your final project.