Go is better than chess because

I had to look up all three of those games, proving myself completely uncultured – I’m going to enjoy reading about these.

I should note that there are examples of completely iterative games (which as said, Go isn’t quite), including gomoku / renju (and other connect-N games), Carcasonne, Trax, and most obviously dominoes.

There are also games where one aspect is iterative but another one is mutative. An example is Quoridor, where players can either place walls (iterative) or move their avatars (mutative).

Edit: Just read about Zendo, what a great original idea! So simple!

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