Brawny's "Cheyenne Teepee" is worth checking out:
It's cool in a lot of ways. One is that you can have a 360 degree view (of some sort) when laying on the ground.
Jeff: Jim Williams is saying to move the center "smoke hole" (that point, even if all points meet there instead) so that it's no longer centered relative to the outer edges. The effect (in a perfectly euclidean world) is like sinking a cone on edge, so that it's a bit lopsided. The shelter having a bit of directionality is useful.
Jim, thanks for that link!
Tension being the primary load bearing method can make a sweet materially efficient (high performance) structure. All sorts of crazy thoughts... What do you think of this: use cord (Dacron,Dyneema) as structural members that can better take high tension than ultralight wind- and water-"proof" fabrics, then have the fabric joined to it in a way that safely distributes necessary stresses? Perhaps less confusingly, I know that at least one successful large kite builder sews in cord to his big crazy kites, but I don't yet know in exactly what way.