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Q. Cyclops: So, the battle grid is square. Will a diagonal move be counted as 1.4 moves horizontally/vertically? Or 1/1?
A. Larisa: It will be counted as one and a half moves. That is, the first diagonal move "costs" 2 horizontal moves, the second costs 1, the third costs 2 again, and so on.
It should also be possible for a slowed unit to move diagonally. Even if it's only one cell. Sometimes this is very important.