Would be more like making the squares larger, but their relative positions remain the same. The distances between the pieces get larger, but the pieces don't move from their own squares............
Actually, I was thinking of it in terms of quantization of space. Yes, I know it's theoretical, but the checkerboard analogy is more in tune with that than making the squares bigger. If you make the squares bigger, then there is still the same number of squares between pieces. In checkers, you can have only one square per piece so adding squares is analogos to adding space, but the squares would have to be homogeneously added. The hard part for many people to get their heads around is that distance is measured in space, but it is not a measurement of space.