There's one logical strip here. The background color shades from
mid-grey to black, based on the distance from an arbitrarily placed
point; it was not as useful as I had hoped, when it came to putting
the model together. At each crossing point, the black dot marks the
underside and the two colored dots match (this is useful at assembly time).
Postscript (This uses level 3 features; ghostview's ps2ps can rewrite it for a level 2 printer.)
Since layouts of points that result in there being a single logical strip seem easy to generate, I decided to try one with a color ramp along it.
Something to line up the crossing points on is still needed, so I
settled for randomly chosen shades of grey; I wished there were more
of them.
Postscript (Again, level 3 devices can be hard to find.)
Some sleight of hand was necessary to get rid of the crossing point markers; if you look closely, over and under are still marked, and the positioning was done using a mock-up that had more markings provided.
The photograph's been touched up a little to pump up the colors;
there's just too much white to make the color pop out. I had chosen
the arrowhead design to de-emphasize cutting irregularities (trimming
a consistent distance outside a line is taxing), which I think was
successful.
Postscript (arrowheads)
Postscript (template)