What do you mean by Prebuild road? Build it for a turn then stop and move again?? The Civ1 trick?
Yep, exactly. After mining the first Gold, we'd move 1 tile towards the other Gold, build a road, cancel the build, and then head on to the other Gold on the next turn and start mining. Doesn't lose us any turns of Worker movement, and means that when we head back to build that road, it'll only take us 1 turn rather than 2 to build.
By the way, we should decide which Gold is best to improve first. They both give the same yield, of course, but our Worker will end up in a different place to start his chops depending on which one we improve first.
Actually the Library can be completed on turn 41 even with AH in there. Off the top of my head I think that was 2 turns after when it would have been built without AH.
So the math:
Beakers saved by getting AH: 36
Beakers saved by getting Library 2 turns earlier: 14.5
Adding an earlier academy into this changes things but if we have no copper then this seriously needs to be considered. Even if we have copper it could be viable.
Actually, it wouldn't delay the Academy, because we won't be employing any Scientists until at least size 5. (We'll need to decide whether it's preferable to have that Scientist at size 5, or work the Silk instead and grow to size 6 quicker to have 2 Scientists earlier.)
I'll do my own analysis later on today, but from the looks of it it seems like it might be worth getting AH before Writing. Of course, we have to factor in that we might meet other teams, and if they're researching as fast as we are, we (or they) may have Alphabet quite early. In that case we might be able to skip AH and trade for it later.
There isn't too much of a hurry. We can put 3 or 4 turns into BW and still switch to the wheel in time to have it ready for the road build.
If that's the case, then there's no hurry, but I just want to double check that. Actually, it could be interesting to switch mid-research, because it would confuse other teams who were trying to calculate exactly what we're doing. The times that we get our techs would be off, and mess up calculations from people watching the demographics.
