OK, after reading subsequent posts, it seems that "planar" or "planer" is intended to mean flat.
With that in mind, please note that tent walls are never flat, even with sail cloth, cuben, or other non-elastic materials. I understand there are CAD programs that will calculate the dimensions of every catenary seam on a structure; but I haven't seen any on this site, and they would probably be way over my head anyway.
That is why I tailor all the seams on MYOG tents. And to get them taut, few if any of the seams have turned out to be straight lines. The process used on Roger Caffin's FAQ pages on Bushwalking.org, often posted about here, is to build a totally rigid frame and tailor the tent over it. In doing so, the catenary curves on the seams become apparent. Sometimes less expensive sailcloth is used to determine the dimensions for cuben fabric panels. But cuben has a bunch of other seam issues as well, all discussed at length here.
I've tried to find ways to avoid the extra work of building a rigid frame, and have posted about them, and hope to post more in the future with the next tent project.
Using straight line seams may be possible with silnylon on tunnel tents, especially if several hoops are used and the panels do not have longer ridge lines. So the use of more hoops not only makes the tent stronger; but also easier to construct. Roger might be able to comment on that. I've been trying other techniques that I'll post about if and when successful.
Using the computer drawing programs is helpful in a number of ways, but won't give you dimensions of slightly curved edges on the fabric panels on a taut tent unless you are a real wiz with the advanced CAD programs. In the long run, I think the tailoring has saved a lot of time.