Or in this case, the angle between the two faces must be greater than 2*arctan(0.5), or about 53 degrees. For the model I submitted, I now see that the angle is a little smaller, at 48.7 degrees.
Here is the relevant part of the image:
The measurements are both on the triangular prism with triangular cross-section having side lengths of 2.625mm, 2.625mm and 3.464mm.
This was from an email to
service@shapeways.com rather than an attempted printing of an uploaded model, because I wanted to check that I had fixed a previous problem. Joost wrote back: "I have checked the attached models but unfortunately still some thin walls (see capture).
Please make the walls at least 0.7 mm thick otherwise the model(s) will get rejected."
As I said above, this reason doesn't make sense to me for a triangular prism. But I see that the airplane wing condition (or angle condition) makes sense. If this really is the condition then the only problem is that I didn't get that information from the email.
The triangular cross-section isn't a necessary part of my design, so I will be bevelling off all of the edges, which should remove the angle problem.
Thanks all!