Sketch showing how the strips should look for plaited polyhedra of various thicknesses.
It's nice to work with something that flattens conveniently; no need for 3-d to show
all the relevant features.
I've been considering how to allow enough slack not to need to crease at the edges,
so I have something which is more loosely held together, and more woven looking. This
seems like a job for postscript splines to smooth out the curves between, but I still
need to come up with where to put the guide points.
If I use this method, I can make the public side the printed side; then there's
the question of how to indicate what goes where in a way that's hidden or pretty
(which is why I needed to put in two strips and show how they cross). These points
all correspond to the edges of the underlying polyhedron, of which there are more
than either vertices or faces, and which makes it a bit incovenient to number them
individually.
