I'm not mr frey, but have you read the considerations about geodesic domes by the author of domebook? It's pretty self explanatory... check it out:
http://www.shelterpub.com/_shelter/smart_but_not_wise.html
in a nutshell:
The other day a friend asked what we were working on. “Well, this thing called Refried Domes, about why domes don’t work…etc.
“Aren’t domes passé?” she asked.
No, I said, there’s apparently a whole new generation of people out there now asking questions again. And then it occurred to me that although we did publish most of the information herein 10-15 years ago, it was never assembled as a whole.
Here then are the results of an experimental voyage. The bitter and the sweet. The great idea (!) and the concrete reality. The ideological principle and the physical follow through . . . Mamas, don’t let your mathematicians grow up to become builders . . .
— Lloyd Kahn
October, 1989
and do take a look at the other articles at the very bottom:
http://www.shelterpub.com/_shelter/domebuilder's_blues.html
http://www.shelterpub.com/_shelter/domes_rectangles.html
Do read this stuff, though lenghtly, it's worth it!