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The "dimensions" in these board games isn't a mathematical/topology thing, is it? Normally one dimension = one real number space. Every board game ever would fi
by traderj0e 7mo ago
The "dimensions" in these board games isn't a mathematical/topology thing, is it? Normally one dimension = one real number space. Every board game ever would fit in 1D then, "2D" chess included.
I'm fine calling Backgammon 1.5-D. Physically you focus on a single dimension, and the second one matters too but it's not the same.
- highphive 7mo agoThat's a good point, you could surely model full chess in a single dimension, it would just be that each pieces' movement rules would be more confusing E.g. a pawn can move exactly 8 squares towards its opponents end (16 on its first move if no piece occupies 8 squares away), but can only capture 7 or 9 squares forward (with some extra modulo math to prevent wrapping)
- traderj0e 7mo agoYeah and it'd be even worse if you want to flatten out the piece colors and types into the 1D array.