Those lines are an aspect of the dimensions of the board, not an addition to them. The measure of time does not make it a dimension (we can measure time in the universe too).
Adding another dimension to an n dimensional array -- [0,0,0] becoming [0,0,0,0], the extra zero is another dimension.
It doesn't matter what the numbers represent, x,y,z + time, or whatever - so we can describe the position of a particle using 4 numbers, x, y, z spatial co-ordinates and time. The same with this game of chess, board coordinates and time to describe the positions of the pieces.
Is that right? I've always read "dimension" used in this way in arxiv papers on math and comp sci, time is another dimension when it is used to describe internal state.
It doesn't matter what the numbers represent, x,y,z + time, or whatever - so we can describe the position of a particle using 4 numbers, x, y, z spatial co-ordinates and time. The same with this game of chess, board coordinates and time to describe the positions of the pieces.
Is that right? I've always read "dimension" used in this way in arxiv papers on math and comp sci, time is another dimension when it is used to describe internal state.