Building on yesterday's experiment with oblique origamic architecture, I tried using a grid whose vertical lines radiate from the same origin as the horizontal lines: (The Illustrator 10 "Polar Grid" tool is very handy for this)
The radial lines do compensate for the distortion caused by the angled horizontals, which makes the end result much more subtle... at first glance you might even assume the above design is a standard 90 degree card photographed with a very wide lens.
(Again, pardon the floppy paper, mangled folds and rough cuts - this is a proof of concept model)