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Open, going for Space or Diplo.
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MA Spoiler
Recap
I entered the IA in 620 AD, after maintaining 4-turn research through most of the MA. I had the starting continent to myself, Egypt and Spain were both dead. Persia would also have been gone, if I hadn't saved them from the wrath of the Iroquois and gifted them a town on the southern island. And so it was that the main continent was shared between the Iroquois and the Zulu, while the southern island was shared between me and Persia.
The Boring Industrial Ages
When I entered the IA I gifted up Persia, and Xerxes got Steam Power, great! I researced Medicine, then Sanitation. Xerxes wouldn't give me Steam Power for Medicine, of course, so after that I had to research a turn on it to be able to make the trade. After that it was simply a matter of steadily increasing my research potential. Slightly before entering the IA, in 510 AD to be exact, I had built Copernicus' in Thebes (my FP town). In 880 AD it was followed by Newton's, and Thebes was clearly my super-science city. It was not the one with the best commerce potential though, that was instead Alexandria on the tip of the peninsula NW of Thebes. But Alexandria was so low on production that I had to rush anything there, and since I wasn't at war I could get no GLs for rushing wonders.
After my worker force had railroaded most of the continent, I actually joined most of them into towns with high research potential. The shortage of luxuries were a pain, but not as much as I would have thought. With six luxuries, marketplace, temple and cathedral I could get my towns up to 17 pop on 0% lux, 19 with a colosseum. Higher than 20 wouldn't have been useful anyway, so in the end this shortage cost me mostly score. It did hurt a bit to have to build all those cathedrals though.
Another thing that certainly hurt was that I missed out on Bach's by one turn, after a riot in Tenochtitlan for one turn (a lux deal ran out on the IBT, I immediately resigned it but for some reason that wasn't registered

). It became a very costly courthouse...
By the end I had three towns at 19 pop (Tenochtitlan, Thebes and Alexandria), another 4 with hospitals and sizes between 13 and 15, then another 10 capped at sizes 10-12.
Research was a bit messy in the early IA, it took some time to get all the infrastructure in place, and the AI civs didn't contribute much gpt so I had to run at 90% research for a while. Still, by carefully choosing techs in the right order I was able to get all techs in at most 5 turns, and about half of them in 4.
Diplomatic win!
In 1265 AD I researched Flight, and had only Radio left in the IA. I built my ToE, got Radio and Fission, switched the prebuild to UN and got a diplomatic victory!

Not. But I could have.
Redbad said:
Hope you go for space and not diplo
I couldn't very well let you down, now could I?
I already have a diplomatic award, in this game I really wanted to go to space. The only limiting factor was RL time, but I managed to make good progress up to the MT and realized I would have no problem continuing. I had a ToE build and a palace pre-build set up for 1265 AD just in case, but I didn't use them. So I hand-researched Radio and entered the MT in 1285 AD.
Here's my tech progression through the IA:
660 AD: Medicine (4 turns)
700 AD: Sanitation (4 turns)
710 AD: Steam Power (Persia, after first researching 1 turn on it)
710 AD: Chivalry (Persia)
760 AD: Industrialization (5 turns)
760 AD: Navigation (Iroquois)
800 AD: The Corporation (4 turns)
800 AD: Music Theory (Zulu)
850 AD: Electricity (5 turns)
890 AD: Scientific Method (4 turns)
940 AD: Replacable Parts (5 turns)
960 AD: Military Tradition (Zulu)
980 AD: Refining (4 turns)
1030 AD: Steel (5 turns)
1080 AD: Atomic Theory (5 turns)
1100 AD: Nationalism (Zulu)
1120 AD: Combustion (4 turns)
1160 AD: Mass Production (4 turns)
1200 AD: Electronics (4 turns)
1240 AD: Motorized Transportation (4 turns)
1265 AD: Flight (4 turns)
1265 AD: Espionage (Iroquois)
1280 AD: Communism (Iroquois)
1285 AD: Radio (4 turns) => MA
The Race Against Time
I realized that the key to make fast research progress through the MT spelled Internet. At the start of the MT I was making ~1350 bpt, and the internet would up that to ~1650 bpt, enough to get many techs in 4 turns. I once more let Xerxes ride the tech elevator, and once more I was lucky as he drew Computers. I researced Rocketry in 5 turns, then traded it to Xerxes for his Computers. I had to chip in 150gpt in the deal as well, but at this point I had no real use for my reputation anymore, now did I?
After getting Computers I finally built the ToE, took Space Flight and (most importantly) Miniaturization. Then I switched the delayed palace UN-prebuild to the Internet instead. Another pre-build bacame the Apollo Program. At this point I had so many highly productive towns that I had a whole bunch of prebuilds running at the same time. I had prepared hard for building expensive SS parts, but I was really surprised by how cheap most of them really were. I could have gotten by very well with much less production capacity.
The Last War
DoW on Persia in 1310 AD, no real fighting since I wanted to avoid war wariness at all costs. I did kill his two first units that he sent against me though. It was two warriors (!), and I killed them with two elite Swordsmen, and lo and behold, my second leader!
It was perfect, I quickly sent it back home and rushed SETI in Alexandria. Tenochtitlan who had almost finished it had to settle for the UN, so I could have had a
real UN victory in 1375 AD.
Unfortunately I didn't manage to avoid war wariness completely, X-man unloaded a unit next to my undefended town on the small iron/wheat island, and the 10% lux that was necessary until he would talk cost me a full turn of research on Nuclear Power...
Take-off in 10 ... 9 ... 8 ...
In the end it was again only research. I had way to much productive capacity, so most SS parts were built on the same IBT that they became available. In 1485 AD I finally researched Robotics, built that Stasis Chamber, and left the world for good.
Space victory in 1485 AD. Firaxis 5003, Jason 9208. This was clearly a map that didn't favor builders. The less luxuries there are, the more the top of the result list will be dominated by military wins. I would like to see a map with luxuries abundant, but low on strategic resources. That should delay the militants while helping research along.
Anyway, this was a really fun map, and I can't say I'm displeased with my end result. Only with the Jason score

.
Yeah yeah, I could have been more aggressive in claiming more land, but then I couldn't count on any help through gpt deals, plus I would have had to devote some production to military, which would have delayed me significantly.
My tech progression through the MT:
1310 AD: Rocketry (5 turns)
1310 AD: Computers (Persia)
1310 AD: Space Flight (ToE)
1310 AD: Miniaturization (ToE)
1335 AD: Fission (5 turns)
1360 AD: Nuclear Power (5 turns)
1380 AD: Ecology (4 turns)
1380 AD: Amphibious Warfare (Persia)
1400 AD: Synthetic Fiber (4 turns)
1420 AD: Satellites (4 turns)
1440 AD: The Laser (4 turns)
1460 AD: Superconductor (4 turns)
1485 AD: Robotics (5 turns)