You know, the term "dome" is thrown around alot, whether it refers to more spherical surfaces, or more planar surfaces. A company in Romania's doing it too, as I'm sure are many other companies I'm not aware of:
www.stardome.ro/index.php

I think of a dome as being a half of a sphere, and that any attempt a la Buckminster Fuller to tesselate 2-D planes into a dome is an attempt to create as round and "dome-ish" a structure as possible. I think the bamboo stardome design is a true dome. The surface actually IS round, rather than having created vertices that altogether give the illusion of being round. I think it's a gray area. For me, 2V and above is a dome. At least the 2V's and above LOOK round. And the bamboo stardome certainly IS round. However, though I absolutely love the 1V, it doesn't really seem like a "dome" to me. More like a shelter.

I understood that stardome was a dome constructed in a specific manner, just as a geodesic dome is constructed(topologically) in a specific manner.

There is a url, which currently escapes my brain, that explains the structural classifications of various domes and tunnels.