27 May
2014
27 May
'14
10:11 p.m.
This isn't exactly what you asked for, but it does have some lovely pictures of what is said to be a C^1 embedding of a flat torus in R^3: < http://math.univ-lyon1.fr/~borrelli/Hevea/PNAS_version_soumise.pdf > --Dan On May 27, 2014, at 8:50 PM, James Propp <jamespropp@gmail.com> wrote:
Where can I learn about, and see pictures of, polyhedral surfaces in R^3 that are locally flat (the angles at each vertex add up to 360 degrees) and have the global topology of R^2/Z^2?
More specifically and concretely, how can I crease and fold a square sheet of paper [0,1]x[0,1] so that I can actually glue (t,0) to (t,1) and (0,t) to (1,t) for every t in [0,1]?