Class 19 Refolding & Kinetic Sculpture
PROFESSOR: All right, lecture 19 is about mostly refolding, common unfoldings of polyhedra, convex polyhedra, and also about Mozartkugel. But most questions were about the common unfolding stuff, so let me start with that. First question-- is this fractal unfolding of regular tetrahedron and the cube, which looks like this-- is it resolved? The answer is no, but it is at least published now. This is at EuroCG. One of the authors is here, Ryuhei Uehara. And it's still conjecture, although there is a way to explicitly construct this. This does actually fold into two things. It folds into a cube and a tetramonohedron, a tetrahedron with equal sides. It's not a regular tetrahedron, though, but this is actually an unfolding. And they have another one, which they haven't drawn because it has 10 to the 180 edges or so, but it is within 3 times 10 to the minus 1796 of regular. So that's pretty good evidence that this is gonna work out. Let me write that down. So t...