Are blindfold players allowed to look at the list of moves? I just read that Alexander Alekhine simultaneously played 26 blindfold games.

Are blindfold players allowed to look at the list of moves? Can they re-create the position in their mind from the list of moves, or do they have to memorize the position on each table?
They memorize the position on each table; In this kind of event, they simply don't have the time to spend to much time on each position. Also trying to re-create the position like this is not practical when you play blindfold chess

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http://www.blindfoldchess.net/

Cheers!