In memory of Elwyn Berlekamp (1940-2019) who introduced this game to me, I decided to make the Game of Amazons. The original game was supposed to be played on a 10x10 grid but I decided to start with 6x6 and with 2 queens on opposing sides.
Rules of the game:
Queens start on opposing edges where Q is player one (Black Queen in Chess terms) and q is player two (White Queen in Chess terms
TLDR Gameplay: Queen must move horizontally, vertically and diagonally like chess and can be adjacent to each other. Once moved, they must fire an arrow to a square in the game which gets "burned off". The queen cannot jump the burnt off square or cross it.
More information is available here: https://en.wikipedia.org/wiki/Game_of_the_Amazons
https://www.youtube.com/watch?v=kjSOSeRZVNg - The numberphile video that got me interested in making this game
https://www.youtube.com/watch?v=_1NzUMWeU4c_ - The man himself explaining the maths of the game