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Four dimensional chess?
My two-year Y!A anniversary, celebrated again with a new question:
For a few months now I've been developing a chess variant which involves four spatial dimensions. I've finally gotten around to typing up a few notes on it and making a couple of diagrams if you're interested:
http://my.ilstu.edu/~bmreini/Chess-basic...
My main question is, does the idea of 4D chess interest you? If so, then please have a read through the pdf. I've left quite a bit out really, particularly toward the end, so if you notice something interesting or have a comment, make a note of it here. [That's what my best answer criteria is for now.]
You'll notice I don't pick a solution for the slippery king; which one do you like? Do you have another suggestion? My main objective over the next few months is to decide on one central ruleset, which will be dubbed "TessChess" -- as in tesseract chess; "chesseract" is already taken by another supposedly 4D game -- and any other notable rules will be variants thereof in my mind.
Thanks!
[I've asked this in both the Mathematics section and the Board Games section, to get an impression on whether this is more a chess-players game or a mathematician's one.]
sorry for the link, I guess it's too long for Y!A; it's
http://my.ilstu.edu/~bmreini/ Chess-basicmath.pdf
without the space in the URL.
and I do mean 4D, not 3D.
For those who think this is impossible except by computer mediation, I should mention I had an almost weekly game last semester. I know that (particularly at first) it sounds absurd, but after one or perhaps two games you get a good intuition for the game. I've introduced it to several non-math/science people and they've grasped it fairly well.
I am working on a computer-based version of it though; I have a basic Java program from Sphinx chess, and plan on editing it into my rules, but am not presently well-versed in Java...
If you find yourself intrigued enough, and have someone else willing to play, there is a $4 solution: four chessboards from a dollar store, cut into quarters, and laid out as suggested in the pdf.
(And as I've realized it was me and not Y!A which broke the link, here's one which you can simply click, and not mess with pasting into your browser:
http://my.ilstu.edu/~bmreini/Chess-basicmath.pdf
)
I thought you might notice that I didn't mention anything about the original setup. In particular, bishops all are stuck on one color, which seems unsavory. We're still playing around with different setups, but this one has a very good level of mutual protection among the pieces.
Also, I've recently realized that a king+queen can checkmate a lone king. Not quite as good as a king+rook being able to do it, but it makes it a bit nicer than it first appears to have a king with up to 80 moves.
As I make updates to the paper(s) they'll make their way to that link, at least until my university site is shut down.
8 réponses
- torquestompLv 4il y a 1 décennieRéponse favorite
Yes, a corresponding GUI/move-computer that illustrates the game properly would be absolutely necessary here. It would be impossible for two human players to catch when a King was in check every time - I can see that going very badly very quickly.
I would reccommend the "two kings" rule for this game. It is quite clear from the diagrams that checkmating the king would be nigh impossible without having the opponent terribly outnumbered in the endgame.
- il y a 6 ans
This Site Might Help You.
RE:
Four dimensional chess?
My two-year Y!A anniversary, celebrated again with a new question:
For a few months now I've been developing a chess variant which involves four spatial dimensions. I've finally gotten around to typing up a few notes on it and making a couple of diagrams if you're...
Source(s) : dimensional chess: https://shortly.im/FROe2 - Scythian1950Lv 7il y a 1 décennie
On one hand, it sounds intriguing, and it's not outside the realm of practical reality. For instance, the game can be played with 8 "cubes" ot a 8-high stack of 8x8 chess boards, all the hypercubes alternating between white and black. That's a lot of hypercubes, 4096 of them. Consequently, that's going to need a lot of pieces, otherwise it'll look like a 4D endgame before it's even started. On the other hand, I can see that there's a lot of work to be done in not only determining the number of pieces, but what moves would be permissible for them. For instance, pawns go in one direction only, but from where to where? And what about knights?
Edit: Oh, I see the "here" link now. Yeah, interesting FIDE article, looks like this has already been thought out for a practical 4x4x4x4 "board". I would suggest that this game would be facilitated by computer, in that each piece would highlight all the squares that it can move to, so it would be much easier to visualize this game "in 4D". This is especially true for the knights.
- Dave SLv 5il y a 1 décennie
You must mean 3-D chess. Not 4-D. what you play now is 2-D. You can go left/right or forward backward. If you add up/down, it's one more dimension. You can't play 4-D chess.
- Anonymeil y a 1 décennie
4D, um, up-down. left-right, in-out. If you include time or an imaginary dimension, you're potential players are theoretical physicists.
- Anonymeil y a 1 décennie
Dude that sounds awesome
