1)Should I settle (academy) or bulb a tech?
2)What key techs should I bulb assuming science win?
3)Where/when should I settle the GS?
4)Is going Babylon and focusing on great scientists a good way to go (assuming science win)?
BNW: Cut off point is closer to Plastics than Public Education.
I actually ran a very detailed analysis in my current game when I poped a Great Scientist a few turns before Plastics. Because the next best tile already had a Trade Post (and I was running Rationalism), it was very slightly advantageous to bulb it. But if it wouldn't have had to displace a Trade post then the math was very slightly advantageous to academy it.
With either Petra or Desert Faith; flat Desert ends up being favorite places for me for GS.
Other choices I like are flat plains without fresh water & Sheep.
With both G&K and BNW, bulbing is the past 8 turns of science; so it's not critical it be an expensive tech; you can actually use your current path by queuing techs.
Would you be able to post some numbers per chance? It's not that I don't believe you, I'd just like the see the numbers. I play a lot of Deity and I keep winning around turn 270 which I know is slow and I'd appreciate any tips or tricks with respect to optimizing that a bit. Every little bit counts lol.
Does the cutoff point change with game speed?
Nope. Cost per GP starts at 300 GPP and rises 300 for each successive GP. Same 3x proportionality for faith-bought GPs.
BNW: Cut off point is closer to Plastics than Public Education.
Wait--PLASTICS? I feel inclined to agree with Acken here, I plant my first natural GS, maybe the second, but after that I save them for bulbs. Just a quick calculation here:
Let's say you get your first GS at T120, planning to win by T220. That's 100 turns worth of academy science. Now the most base science an academy can make is 16. That's modified by a potential 300% modifier in the cap for 48 beakers; with rationalism opener it becomes around 53. 100 turns of science, let's say you bulb 12 GS's for 100 more turns of science (actually don't really know what the average number of GS's to bulb in a game is). So that's 10600 science total from the academy; I overestimated by assuming max value for the entire game which of course it isn't, but it also neglects the fact that the academy helps you to get ST/Plastics faster, which means it isn't a huge underestimation.
So 10600 science is probably similar or slightly more than what you would get from a late game bulb. But a GS planted much later than that won't be nearly so valuable. If planting at plasics, you probably have less than 50 turns left in the game, reducing its value to around 8000 beakers (assuming you have Freedom; if not it's going to be much less, also less with an observatory). But I think 1k bpt isn't unreasonable for a fast SV. Also, if you're planting until plastics you have less bulbs, reducing the value of your academies. There's also the minor bit about reducing food/hammer yields slightly by not improving the tile.