This was not my game...
Even though the start position looked quite strong with the two cows, it was not so good because of the lack of rivers, the cramped position and long unusable stretches of mountains. The lack of income showed dearly early on, and I lost the Philosophy-race to the Incas in 1425 BC (still had 4-5 turns to go at that time).
Missing the slingshot of course ruined the game, and I was about to abandon it, but as I had Christmas vacation and no other games going on, I trod on anyway...
After missing Philosophy, I first did Literature (and a few library prebuilds), before tackling the expensive Republic. Not sure, whether that was smart. But on the outset of this game I had planned to go for Cavalry anyway, so I thought the sooner I get the libs, the better, and it would probably not delay Republic more than 2-3 anyway (the libraries should be able to recover some of the lost ground).
After Republic (which I finished in 730 BC), I upgraded all my MP warriors to swordsmen and started the first campaign against the Incas and then the Mayans, who had finished the Pyramids by then. I also started to build horses, and once I got to Invention, I traded that for Chivalry, so I could already do some damage while waiting for the Cavalry...
Some people apparently re-located their core, but with all the libraries I had built, I didn't want to do that, so I stayed with my original capital for the entire game, probably another reason for my slow finish.
In 150 BC I triggered the GA, which helped finishing the FP in the city W of the sugar tile. (Having an FP city of size 8 probably wasn't a good idea either... But it made 20spt during GA, so quite ok.) The capital meanwhile used Sun Tzu's as a prebuild for Leonardo's. In 70 BC Invention was finished, and Leonardo's went online in 210 AD.
I hadn't made much progress against the Mayans during that time, but with Leonardo's I quickly upgraded 15 horsemen to Knights and finally took Chichen Itza with the Pyramids in 300 AD.
Military Tradition was finished in 420 AD, and from then on I used the money first for upgrades and then for cash-rushing Armies. In the end I had 11 Armies in the field, despite loosing three Armies in two flips
Both flips happened to the Iroquois, who had no culture to speak of (thanks to my many libraries, my culture was quite ok - only the Spaniards, who had built Artemis early on, and the Mayans had a better culture than me.) And both flips happened on the second turn after taking the city! I know the first turn is save, and I left the Armies in there (together with a bunch of red-lined Cavs and elite Knights...) a second turn for healing completely...
In 590 AD I captured Madrid with the Artemis Temple in a surprise attack and was able to hold it long enough until the Spanish were willing to make peace. This allowed me pretty much to skip the usual settler production necessary in a Domination game. The AI's towns together with the first culture expansion was enough to cover all the territory.
Madrid flipped back to Spain in 680 AD, but by then I was already marching through Portugal and ready for the real Spanish war, which then lead to a re-capture of Madrid in 730 AD and Domination in 770 BC.
In retrospect I think I spent too many shields on FP, Heroic Epic, Leonardo's, Military Academy and Pentagon, and could have reached a faster finish by producing units instead. (Though playing with Armies was quite fun, admittedly... They went through the AIs like a hot knife through butter, despite meeting musketmen...

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