ABSTRACT
Summary This is really a follow up on the Matrix Models of Flat Vertex Folds activity. The concept is the same: The product of rotation matrices, in some sense, around a three-dimensional vertex fold should give us the identity. But being in three dimensions, the rotation matrices are more challenging, and it’s more complicated to prove that the product of the crease pattern matrices, in the proper order, will return the identity. (We cannot rely on Kawasaki’s Theorem here!)
Content This is a very challenging linear algebra application to three-dimensional geometry. It requires a solid command of rotations in R3 and strong three-dimensional visualization skills. It would be an especially good challenge for students interested in learning the types of linear algebra used in computer graphics.
