Editing 2465: Dimensional Chess
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==Explanation== | ==Explanation== | ||
+ | {{incomplete|Created by a FRACTAL CHESSBOARD. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}} | ||
− | Being good at | + | Being good at chess is often regarded as a sign of high intelligence. A skilled player must be able to consider possibilities several moves in advance, which can be represented as an exponentially-growing tree of possibilities. The {{w|branching factor}} of chess, the approximate number of legal moves available at any given time, is about 35, although most players (human and computer) will use heuristics to prune the trees to regard only likely or promising moves. Expanding the playing field by generalizing to {{w|three-dimensional chess}} (or beyond) will increase the branching factor even further, and so someone who is able to competently play 3-dimensional chess could be regarded as even more intelligent than someone who can only play 2-dimensional chess. Making chess into an N-dimensional game thus makes it arbitrarily more difficult, even before Randall's addition of non-uniform dimensionality of the board. |
− | Regarding Randall's rule that "every row has one more dimension than the one behind it," it is easiest to see how this is applied with the first two rows on each end. The first row on each end is a | + | Regarding Randall's rule that "every row has one more dimension than the one behind it," it is easiest to see how this is applied with the first two rows on each end. The first row on each end is simply a one dimensional line: you can go from left to right. The second row then becomes a square: you can go left to right and top to bottom. Note that there are seven spaces from top to bottom, as opposed to the typical 8 from left to right. This is likely to make sure there is symmetry between how many additional spaces are on top vs on the bottom (three, in this case). Moving another row would presumably add movement in some other direction to make it more complicated/interesting. This escalates until somehow the middle two rows require moving pieces in 5 dimensions, despite our typical world being 3-dimensional. This could potentially be accomplished via playing on a computer. |
− | + | The title text refers to the practice among many chess players of writing down what happens throughout the game so that they can review how the game went later. There are several common forms of this {{w|Chess notation}}. According to Randall, in "dimensional chess," every annotation is followed by '?!'. According to the Wikipedia article on {{w|chess annotation symbols}}, this refers to a dubious move (either of doubtful legality or unclear merit, both of which would make sense in this level of confusion). It's worth noting that the ''literal'' meaning of the symbols also mark something as {{w|question mark|questionable}} and {{w|Exclamation mark|eliciting strong feelings}}. | |
− | + | Note that "in dimensional chess" may be a pun on "N-dimensional chess." | |
− | + | ==Transcript== | |
+ | {{incomplete transcript|Do NOT delete this tag too soon.}} | ||
− | + | :[A chessboard is depicted in the middle of a stack of boards. All pieces visible on the middle board are in their starting positions, except the white knight from 2a at 1d and the black pawn from 2g at 2e. There are three boards each above and below the original, missing columns a and h. On columns c & f on each board, there are clear cubes with a small pedestal on each square. Columns d & e are similar, except with multiple cubes on each square. No chess pieces are visible, except for an unidentified white piece on the second board above the middle on 2b and a black pawn on the top board on 3f. Below the chessboards is a caption] | |
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− | :[A chessboard is depicted in the middle of a stack of boards. All pieces visible on the middle board are in their starting positions, except the white knight from | ||
:[Caption below the panel]: | :[Caption below the panel]: | ||
:The problem with ''N-''dimensional chess is that ''N'' is a constant across the board. In my new variant, every row has one more dimension than the one behind it. | :The problem with ''N-''dimensional chess is that ''N'' is a constant across the board. In my new variant, every row has one more dimension than the one behind it. |