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I guess I was misinformed. I was referring to someone casually referring to
a 3D game where he then stacked more boards as 7D/8D etc, which was just 3D
on a stretched board.

In any event there certainly aren't any 4D+ variants on here (or if there
were they would be contracted to 3*3 or 2*2 boards and only that for 5 or
6D) as we reach a limit in how we can represent and play games, which is
what I was attempting to discuss-more intricate chess variants with a much
higher branching factor and how we could play and get an appreciation for
them.