Editing Talk:2465: Dimensional Chess
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not quite what is demonstrated in the comic but there is a game called 5 dimensional chess with multiverse time travel --[[Special:Contributions/172.68.57.189|172.68.57.189]] 19:00, 19 May 2021 (UTC) | not quite what is demonstrated in the comic but there is a game called 5 dimensional chess with multiverse time travel --[[Special:Contributions/172.68.57.189|172.68.57.189]] 19:00, 19 May 2021 (UTC) | ||
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I think this would require 5 dimensions rather than 4 as the middle rows are 4d slices of a 5d space just as the second row is a 2d slice of a 3d space | I think this would require 5 dimensions rather than 4 as the middle rows are 4d slices of a 5d space just as the second row is a 2d slice of a 3d space | ||
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Is there an error on the top board of this image? If I look at the sequence of squares on the vertical, they alternate black/white except for the top board. Even if I were missing some aspect of the logic, I feel like there should be some symmetry between top and bottom. [[Special:Contributions/108.162.221.70|108.162.221.70]] 20:52, 19 May 2021 (UTC) | Is there an error on the top board of this image? If I look at the sequence of squares on the vertical, they alternate black/white except for the top board. Even if I were missing some aspect of the logic, I feel like there should be some symmetry between top and bottom. [[Special:Contributions/108.162.221.70|108.162.221.70]] 20:52, 19 May 2021 (UTC) | ||
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Note that white made a horse move on the left side of the board, forward one and up two [[Special:Contributions/172.68.57.189|172.68.57.189]] 21:11, 19 May 2021 (UTC) | Note that white made a horse move on the left side of the board, forward one and up two [[Special:Contributions/172.68.57.189|172.68.57.189]] 21:11, 19 May 2021 (UTC) | ||
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:There's at least one black piece on (its) row 3, possibly a knight, and both players have at least one of their pieces on (their) row 4. There are four obvious white pieces forward of the two starting ranks (with no obvious sign that these are established starting positions in this esoteric board*) so there may be a third black piece out there, obscured from clear view. Or more likely that black Knight's movement (two squares forward, three up, one sideways and 0+ squares in the fourth-way direction) is multiple moves (2f1u then 2u1s would be the most simple projected moves). | :There's at least one black piece on (its) row 3, possibly a knight, and both players have at least one of their pieces on (their) row 4. There are four obvious white pieces forward of the two starting ranks (with no obvious sign that these are established starting positions in this esoteric board*) so there may be a third black piece out there, obscured from clear view. Or more likely that black Knight's movement (two squares forward, three up, one sideways and 0+ squares in the fourth-way direction) is multiple moves (2f1u then 2u1s would be the most simple projected moves). | ||
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:(* - The starting ranks appear to be as per 2D chess, with white's far bishop no longer in starting position, but if that's the one now in the nearest start-level 4th rank then it must not have made just one single 2D-like bishop's move to get there, nor is it obviously a pawn brought forward (2f starter then 1f second move, with or without an en-passant), so it may not be quite so simple, or else we've seen more than 4 white moves (and 3/4 black ones). Or both plus some possible exchange of pieces already.) [[Special:Contributions/162.158.158.131|162.158.158.131]] 22:25, 19 May 2021 (UTC) | :(* - The starting ranks appear to be as per 2D chess, with white's far bishop no longer in starting position, but if that's the one now in the nearest start-level 4th rank then it must not have made just one single 2D-like bishop's move to get there, nor is it obviously a pawn brought forward (2f starter then 1f second move, with or without an en-passant), so it may not be quite so simple, or else we've seen more than 4 white moves (and 3/4 black ones). Or both plus some possible exchange of pieces already.) [[Special:Contributions/162.158.158.131|162.158.158.131]] 22:25, 19 May 2021 (UTC) | ||
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True n-dimensional chess, where there are an unlimited number of dimensions, would probably be unplayable by any Turing machine, including, of course, humans. [[User:Geek Prophet|Geek Prophet]] ([[User talk:Geek Prophet|talk]]) 23:58, 19 May 2021 (UTC) | True n-dimensional chess, where there are an unlimited number of dimensions, would probably be unplayable by any Turing machine, including, of course, humans. [[User:Geek Prophet|Geek Prophet]] ([[User talk:Geek Prophet|talk]]) 23:58, 19 May 2021 (UTC) | ||
:If you have an infinite number of dimensions to work with, there is a straightforward means for a king to escape forever - just alternate linear moves with diagonal moves, always away from the opposing pieces, and always along a dimension not previously traversed (there are an infinite number of these, so always one more). Any opposing piece will be one dimension behind, at the very least. [[Special:Contributions/108.162.237.4|108.162.237.4]] 01:45, 20 May 2021 (UTC) | :If you have an infinite number of dimensions to work with, there is a straightforward means for a king to escape forever - just alternate linear moves with diagonal moves, always away from the opposing pieces, and always along a dimension not previously traversed (there are an infinite number of these, so always one more). Any opposing piece will be one dimension behind, at the very least. [[Special:Contributions/108.162.237.4|108.162.237.4]] 01:45, 20 May 2021 (UTC) | ||
− | ::That surely only works if you don't end up stuck in an infinitely-dimensioned corner (infinite dimensions but still finite+ | + | ::That surely only works if you don't end up stuck in an infinitely-dimensioned corner (infinite dimensions but still finite+nowrapping extent in each dimension). |
::I'm not sure if there's a foolproof way not to find yourself in that corner, by evading through heretofor unused dimensions strictly around the centre of the board (where a finite number of pieces may not be able to coordinate an all-sides trap) but once there a single infinitely-dimensional queen moved one square away from all the relevent edges, protected by some handy rearward piece, could force the endgame. | ::I'm not sure if there's a foolproof way not to find yourself in that corner, by evading through heretofor unused dimensions strictly around the centre of the board (where a finite number of pieces may not be able to coordinate an all-sides trap) but once there a single infinitely-dimensional queen moved one square away from all the relevent edges, protected by some handy rearward piece, could force the endgame. | ||
::If the king itself is in that one-space-out position (not yet immediately restricted by the edge, ''any'' edge) I ''think'' it can still be considered corralled by a suitably-placed finite smattering of sufficiently-positioned (for their respective powers of projection) pieces, so even if the centre squares are freely dodgable round (which they might not be, if the opposing king is already safely stationed there, denying 3x3x3x...3 spots to the victimised king) there's a potential to be tactically/psychologically forced towards a definitely entrapping position the moment you stray towards any edge. | ::If the king itself is in that one-space-out position (not yet immediately restricted by the edge, ''any'' edge) I ''think'' it can still be considered corralled by a suitably-placed finite smattering of sufficiently-positioned (for their respective powers of projection) pieces, so even if the centre squares are freely dodgable round (which they might not be, if the opposing king is already safely stationed there, denying 3x3x3x...3 spots to the victimised king) there's a potential to be tactically/psychologically forced towards a definitely entrapping position the moment you stray towards any edge. | ||
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It might make sense to just add a link to chessvariants.com, since there are a surprising number of multidimensional chess variants in existence besides the aforementioned 5D chess with time travel. [[User:JakobWulfkind|JakobWulfkind]] ([[User talk:JakobWulfkind|talk]]) 02:38, 20 May 2021 (UTC) | It might make sense to just add a link to chessvariants.com, since there are a surprising number of multidimensional chess variants in existence besides the aforementioned 5D chess with time travel. [[User:JakobWulfkind|JakobWulfkind]] ([[User talk:JakobWulfkind|talk]]) 02:38, 20 May 2021 (UTC) | ||
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Ah yes, the Ra̷s̵̡̡̛͍̖̗͖̟̞͊̀̓̉͂̈́̇̉p̵̛̤̔̂͐͗̄̿̋͛̿͗͒͒̚͘̚̚͝u̵̞̿̒̃̾̑͒̎ṱ̶̨̧̡͍̜̙͖̣̗͙̥͈̳̱̼̫͗͊̌͑̇̆͝i̵n opening. A good choice! | Ah yes, the Ra̷s̵̡̡̛͍̖̗͖̟̞͊̀̓̉͂̈́̇̉p̵̛̤̔̂͐͗̄̿̋͛̿͗͒͒̚͘̚̚͝u̵̞̿̒̃̾̑͒̎ṱ̶̨̧̡͍̜̙͖̣̗͙̥͈̳̱̼̫͗͊̌͑̇̆͝i̵n opening. A good choice! | ||
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I don't think the explanation really needs anything to do with intelligence. "Fourth-dimensional chess" is lingo for complexity or cunning, so I think the comic is a joke based on that phrase. [[Special:Contributions/172.69.142.50|172.69.142.50]] 05:36, 20 May 2021 (UTC) | I don't think the explanation really needs anything to do with intelligence. "Fourth-dimensional chess" is lingo for complexity or cunning, so I think the comic is a joke based on that phrase. [[Special:Contributions/172.69.142.50|172.69.142.50]] 05:36, 20 May 2021 (UTC) | ||
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