I've had a think about the maths to calculate dome angles and I've come up with some equations. They're quite general and the approach is good for a triangular-faced geodesic dome of any frequency based on any platonic solid. I'd be interested in any comments.
I've used information on dome theory mainly from this site and from Wikipedia.
[ Comments 3 ]
Excellent work Simon, the explanation about why 3v domes aren't flat at the bottom was great. I,ve checked with my tools and all your equations add up just fine. I'm really lazy when it comes to working out angles, I have a 3D software package that I can just load a geodesic poly and measure any angles directly so your paper on doing it with math was most interesting. I would recommend anyone who is interested in domes to give it a read. Cheers Simon
Now that's a whole other math problem, I did some work on elliptical domes and found that the complexity increased dramatically. Bullet shaped was the best compromise I could come up with (round at the ends and tubular in the middle) Good luck with it anyway and keep us posted!
jacques louis vidal
I has a question about some angles, I am making a model geodesic sphere about 28 inches in diameter, I am making it out of flat 3/8" triangles fit together, I am having some trouble with the bevel angles on each side ofthe triangles, can anyone help me? thanks