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> - if there's a 6 and 8 next to each other, the third field is always a 2 or 12

At least in the version of the game that I own, if you follow the prescribed setup rules, there can never be an adjacent 6 and 8. The terrain tiles are randomized, but the placement of the numbers on the tiles is deterministic, and results in a spatially uniform distribution of the high-yield numbers.

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That's true. The apps distribute the numbers differently to make it more interesting. I don't know the exact rules, but I know that 6 and 8 may be adjacent, but if this happens, there must also be 2 or 12. Just give it a try, it's fun :)

> the placement of the numbers on the tiles is deterministic

Not quite; the random placement of the desert tiles affects it, and you choose at random where to begin placing. That said, its still impossible for there to be adjacent 6s/8s.

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