On Jun 16, 2015, at 4:13 PM, James Propp <jamespropp@gmail.com> wrote:
As for decorating a hemi-pseudosphere, I'll probably go with http://jamespropp.org/pseudosphere.jpg for now. It's a bit of a black-and-white herring, since the coloring wrongly suggests that I'm going to teach readers of my blog how to play pseudosphere chess. :-)
Why not decorate it with geodesics in a way that shows multiple “lines”, all passing through the same point and yet parallel to another? For example, mark off four equally spaced points along the rim, say at N, E, S and W. Pass single lines through N and S that go to the tip of the hat, and fans of lines that pass through E and W and don’t intersect the former pair of lines. Try to avoid referring to it as a “pseudosphere” —that word just doesn’t make sense. -Veit