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I've seen a couple comments on classification of types of boards recently, and wanted to make an observation. A. Black notes that multi-dimensional chess can be thought of as smaller dimensional; indeed, if we take the rows of FIDE chess and place them side by side, we get a 1D game. So the classification of FIDE chess as 2D is not absolute. Similarly, in Penturanga, the positions are presented as pentagonal, but are in essence played on as though hexagonal. So 'board type' is perhaps not an inherent property of a game, but rather a subjective idea. A game should be deemed 2D if the pieces move in a way which is easiest to describe with a 2D layout (I think everyone will agree that the rules for FIDE chess played 1D are horrible. See the fun description by A. Black).