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grenv: No - I have 300+ games (too many, but hopefully I will get that down soon) - Anyway, I usually play my games in order of time left - so 1 game will be backgammon, next chess, next battleboats, next dice chess, next etc.....
So no, i do not remember my strategy from my previous moves (probable why I'm not a good chess players) - for games like the line games, i will leave myself notes in the game so I know what I'm doing when i have the next 4 moves planed out.
But usually, i'm trying to make my moves as fast as possible to get to the next game - so when a game comes up, my eyes go directly to the game board - and if the game board looks like backgammon - my mind goes into backgammon mode - if the board looks like a chess board - my mind goes into a chess mode. But unless something stops my mind (like a colored border), i will miss what type of chess game I'm playing - and hence with the Extenction chess being a game in which you play completely different from regular chess - and if something isn't there to jump out at me, I end up playing it like regular chess which of course can be bad. (All the other chess games which look like regular chess but with different rules are already OK with different color borders - it is just this one for some reason that is not colored.)