A game of chess, even in the 3d world, takes part on a 2d plane
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3d chess is a thing. It’s annoying to play.
Isn’t one of those dimensions time? There do be time in chess
In normal chess, time doesn’t really exist in the normal way that a dimension works. Using one or more time dimensions in a game means you need to be able to control some movement along that axis. In normal chess, every piece moves one “space” (for lack of a better word) forward in time with each move.
If you want to actually see time dimensions being used in a game, try playing 5d chess with multiverse time travel
