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| | ==Explanation== | | ==Explanation== |
| | + | {{incomplete|Created by a FLOATING CHESS BOARD. Please mention here why this explanation isn't complete. Do NOT delete this tag too soon.}} |
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| − | Being good at {{w|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 thirty-five, 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 three-dimensional chess could be regarded as even more intelligent than someone who can only play two-dimensional chess. Making chess into an <i>N</i>-dimensional game thus makes it arbitrarily more difficult, even before Randall's addition of non-uniform dimensionality of the board.
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| − | 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 like a row on a traditional two-dimensional chess board (albeit played with three-dimensional pieces): you can go from left to right, or forward into the next row. The second row then becomes a two-dimensional row of a three-dimensional space: you can go left to right, forward to back, and now top to bottom. Note that there are seven spaces (represented by "shelves") from top to bottom, as opposed to the typical eight rows from left to right/front to back. This is likely to make sure there is symmetry between how many additional spaces are on top versus 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 ''five'' dimensions (the middle two rows are four-dimensional rows + moving to other rows as fifth dimension), despite humans only being able to experience three spatial dimensions.{{Citation needed}} This could potentially be accomplished via playing on a computer.
| + | Being good at chess is often regarded as a sign of high intelligence. As such, someone who is able to competently play 3-dimensional chess is often 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. |
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| − | There are eight squares on the first row, 56 on the second row and presumably 504 on the third and 1512 on the fourth, thus making the total number of squares 4160 rather than the 64 of a traditional chess board. The drawing shows apparently five squares (or boxes) stacked on the third row and if this is also formed symmetrically, there are four hidden out of sight. The middle rows are already quite convoluted but it seems as if Randall drew three boxes along this dimension. Due to this dimensionality increase, there is plenty of free space in the middle board, drastically changing the game dynamics such that shadowing plays very little role and that movement is very unrestricted.
| + | 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 4-dimensions, despite our typical world being 3-dimensional. This could potentially be accomplished via playing on a computer. |
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| − | The title text refers to the practice of writing down what happens throughout the game, so that it is possible to review how the game progressed later. Recording moves in this fashion is required in most tournament situations. There are several common forms of {{w|Chess notation}} used for this purpose, and as well as indicating the moves, players may add annotations indicating their opinions about whether a particular move was good, bad, or peculiar. According to the title text, every annotation is followed by "?!"—which indicates a questionable move, of dubious value but not obviously a blunder either. The joke is that the variable-dimensional game is so complicated that any move will answer this description. | + | 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}}. |
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| − | There appears to be the normal chess pieces (so no {{w|Fairy chess piece}}s), but the game has already started (there are white and black pawns in one of the middle squares, and both white and black knights have moved.
| + | Note that "in dimensional chess" may be a pun on "N-dimensional chess." |
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| − | Note that "in dimensional chess" may be a pun on "<i>N</i>-dimensional chess." | |
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| | ==Transcript== | | ==Transcript== |
| − | :[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 a2 at d1 and the black pawn from g2 at e2. 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 a white piece -- not clearly visible, but implicitly the white king's knight -- on the second board above the middle on b2 and a black pawn on the top board on f3. Below the chessboards is a caption]
| + | {{incomplete transcript|Do NOT delete this tag too soon.}} |
| − | :[Caption below the panel]:
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| − | :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.
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| | {{comic discussion}} | | {{comic discussion}} |
| − | [[Category:Chess]]
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