Fred's pictures are nice (and the solution they depict could well be minimal and therefore of intrinsic mathematical interest), but I'm more interested in seeing an origami torus with lots of sides that, viewed from afar, looks doughnut-like. I'm 90% sure I've seen one; in fact, I think it was made of equilateral triangles, with six meeting at each vertex. And (this part may be delusional) I think it had a degree of freedom that permitted it to swim through itself. Can anyone provide a link? Jim On Wed, May 28, 2014 at 5:40 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
See picture at https://www.dropbox.com/s/t8iqaeoe5e86ld1/solitore3.pdf and flat net at https://www.dropbox.com/s/42grmh6o3re4ulf/flattore3.pdf
WFL
On 5/28/14, Michael Kleber <michael.kleber@gmail.com> wrote:
Fred Lunnon, "Origami torus" math-fun thread, 2009.
--Michael On May 27, 2014 11:51 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]?
Jim Propp _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun
_______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun