Interesting. Wasn’t the Rayleigh thing the whole reason the GT used a 4000K emitter instead of something with a higher CCT? I haven’t done a lot of thrower testing, but I thought that was the reason…
I hope at the very least it was an enjoyable exercise, even if it wasn’t any better than spending a few minutes playing Minesweeper.
Er, I enjoy little puzzles like that anyway. I doubt everyone does though.
Like, we were watching a sitcom one night and they posited a puzzle. So when the show was over, I went to go work out the answer. I ended up staying up too late because it was trickier than expected, but by golly, I finally found a solution.
FWIW, the puzzle was this:
- You are presented with a set of twelve identical diamonds, each one extremely valuable. Same size, same shape, same color, everything. Except one of them is fake, and it weighs more or less than the others.
- Along with these, you also have access to a balancing scale — the “scales of justice” type with two hanging platters, so it can only tell you which side weighs more.
- If you can determine which one is fake, you get to keep them all. Otherwise, you keep none of the diamonds.
- You can only determine the answer using the scale, and you can only use it three times.
- You must decide exactly which three measurements to make in advance, before you have actually measured anything.
- You don’t actually get to touch the goods. Someone else does the measurements and lets you see the result of each.
- The diamonds will only be given to you if you can prove that your method always works. They won’t give you anything if you guess which one is fake but can’t provide a reliable algorithm.
So, how do you figure out which one is fake?
Oh, and then they add in one more detail: If you like, you can double your payout if you attempt the problem for thirteen diamonds — but in that case, getting a wrong answer will land you in jail. So there is a harder version for those who are willing to play with higher stakes. Everything is the same except there is one more real diamond in the set, and you can also use one dummy weight which has the same mass as a real diamond.
Any ideas?