If we agree on a few things, I'm quite sure that we can figure it out :
1) Alexander's charge on Darius through the centre is opening a central file and a checkmate attempt on the king
2) Darius' retreat is one of the options to a checkmate
3) Alexander's pull back is giving up the king hunt
4) Leonidas and his Spartans belong to another story
Has there ever been a chess game with moves comparable to the Battle of Gaugamela?
It was fought in 331 B.C. between Darius III of Persia and Alexander the Great.