To hill or not to hill

Your first settler stands on plains but there is a hill 1-2 tiles away. What do you do


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So I played my points system for quite a few games now and it seems to be fairly sound with a few adjustments.

I settle then look at the two rings only for food and production. I remove the rirst two of these starting with food (so a tile with 2 food and 1 cog will count as 1 cog) I then add up the points in each and am looking for around 4 food and 8 cogs ideally with 2 power tiles.
Without the power tiles things are slower but with the power tiles its a fantastic start. Naturally you need to push the food first if there are no food power tiles as the AI does like to prioritise production a bit.
 
A different, but related question:

Do you folks move to settle into a flood plains tile to have one more tile you can use early-ish for districts and/or unique improvements, or because it's on an inconvenient location for triangle farming? (Except with Egypt ofc)
 
settle into a flood plains tile
Problem is, that this is terrain: desert + feature: flood plains. On settling features are removed (without compensation).
FilthyRobot settled once in one of his LetsPlays on flood plains & sugar (5-0-0) and was quite frustrated ending with (2-1-0) from the city center.

I remove the rirst two of these starting with food (so a tile with 2 food and 1 cog will count as 1 cog) I then add up the points in each and am looking for around 4 food and 8 cogs ideally with 2 power tiles.
Concerning food I count in deficit and surplus tiles ... e.g. plainsHills is deficit, grasslandsMarsh is surplus (Completely: double-deficit, deficit, par, surplus, double-surplus, triple-surplus)
"For every surplus tile you can work a deficit tile and the city center provides 2 food extra for growth ." (civ1 cooking receipt)

I suppose, flood plains is incompatible with hills and horse is incompatible with (marsh, rain forest & woods) and/or hills. So the maximum 'food + cog per tile' is probably
2 from terrain (grasslands, plains) + 1 from hills + 1 from features (marsh, rain forest, woods) + 2 from bonus (citrus, spices, sugar) = 6.
 
I think the max food you can have without improving tiles is 5 (grasslands marsh with Rice/Sugar). For production, I've never seen unimproved tiles with more than 3 cogs (until you discover strategic resources)

The best unimproved tile for me is coastal Oil while suzerain of Auckland (1f-7p-1g). I'd be willing to settle on tundra + snow if I spotted 2 in the range.
 
Yes, the max food you can work without improvement is 5 (desertFloodplainsSugar, grasslandsMarshSugar, Rice is 1). But this are (5-0-0) tiles and Floodplains & Marsh deny Hills.
So I think, the best initial worked tile could be (5-1-0), grasslandsHillsRainforestCitrus or Spices.

The best initial settled tiles are (3-1-0), grasslandsCattle or Rice and (2-3-0), plainsHillsIvory or Gypsum.
[The lost effects of Pasture & Farm, respectively Camp & Quarry are compensated by the subvention of Minimum (2-1-0) on city centers.
Though Ivory & Gypsum loose one copy of a luxury resource; Cattle & Rice have no corresponding meaning as there is e.g. no 'Health' (as in civ4).]
 
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