#Fighting a Land War

In this KoTH, you need to earn as much money as you can while fighting over tiles to take over.

The board is a large hexagon made up of 91 smaller hexagonal tiles (A 6x6 hexagon).  Each tile is either: 
 
1. An impassable mountain
2. Hills that generate production.  They start out with a random value (between 2 to 4)
3. Valleys that generate money. Their starting value is the distance from the corner multiplied by 2
 (between 2 and 12)

There are 6 players in each game, each starting in a different corner of the hexagon.  The corner will always be a hill(4).  Turn order is randomized at the start of the game.

Each turn, the following happens:

1. Each tile that you have owned for N^2 turns (where N is an integer) increases in value by 1
2. You earn money/production.  (Equal to the sum of the valley/hill values)
3. You can build defenses on a tile.  You gain `1*Production` TileDefense.
3. You can attack tiles, costing `(1 + 2*TileDefense)` Production.

Notes:

- Tiles lose all defense on attack.
- Multiple players can upgrade a single tile
- The number of turns it takes for an upgrade is player-specific.  This means that a newly-acquired tile immediately starts upgrading.  (Assuming you've never owned the tile before)

And that's it.  The player with the most money after 500? turns wins.