Triangles. Diamonds. Triamond Joy!
In this episode the Dawdlers go deep into lesser known territory: original ideas. Truth Seekers, Game Players, Overseers, and Engineers are united in a unique interpretive mechanism for evaluating contributions to inquiry. Our number one fan is present but we tried to reduce the constant cheering using tek-nah-luh-gee. Unfortunately, this means Harland sounds like he has a cold or is talking through one of those cardboard tubes in a roll of paper towels. Ryan sounds great, as usual. Fans. Amirite? Or is it “arwerite”? Whatever…
1 Comment
Adam · January 22, 2019 at 2:17 am
I don’t think there’s a single generalization of a circle to a 3-d shape. You could just extend through the extra axis and get a cylinder, or if you take the definition of “all points equally distant from a center” then you get a sphere. Similarly, with a triangle you could get a triangular prism by extending through the extra axis. Or you could be focused on the “simplicity” of the shape and get a polyhedron with the least number of faces and get a tetrahedron. You could get a pyramid, a … a … there have to be other ways to generalize a triangle.
Anyway, it’s even MORE interesting when you go to four dimensions. A cube has pretty much one good generalization as far as I know, they hypercube. But I think a sphere has several interesting generalizations. But again if you stick with “all points equally distant” that gets you the most obvious one.