As a project in my Calculus course, students built sliceforms. Some of them turned out quite beautifully!
Sliceforms highlight the way we can use two-dimensional cross-sections to understand and represent surfaces in three dimensions.
You can see more examples of student sliceforms here, on my Facebook page.
These are beautiful! I’m having my kids do this in my multivariable calculus class (as we are talking about level curves, and each piece is just a slice in the x and y directions)…
I am wondering when you do this in your calculus class? What calculus skills/concepts does this tie up to?
Sam
These sliceforms were created by one of my multivariable students. As you point out, they are great for reinforcing level curves and traces. It’s also a nice way to see how objects of different dimensions interact.