Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20051208 21:51:07
Question From an EmailI just received this email from "Allan": "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #2 20051208 21:57:22
Re: Question From an EmailDear Allan, "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #4 20051208 22:03:21
Re: Question From an EmailTrue. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #5 20051208 22:11:15
Re: Question From an EmailHad that condition not been given, the solution would have been simple, as you had posted, Sir. The dome is not a perfect hemishphere. It resembles an ellipsoid. Character is who you are when no one is looking. #6 20051208 22:18:09
Re: Question From an EmailThe "ring wall" plus hemisphere will get close, I think (considering relative sizes). Maybe Allan could tell us how critical it is to get an exact answer. I emailed him to let him know I started a thread on his problem. "The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  Leon M. Lederman #8 20051209 12:22:43
Re: Question From an EmailI believe that this is the answer. If we model the roofline as a curve and then treat the roof as a surface of revolution, I believe that it produces the answer needed. 