4D Chess !

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RPaulB

Anyone interested in playing  or  understanding  4 dimensional chess  ?    Maybe even developing a model for www.chess.  

ijgeoffrey
3D variants do exist--I am fond of Millennium 3D Chess myself. Perhaps a 4D variant would be 3D but incorporating time. So play could be simultaneous (without turns), but each piece would move at a certain speed? A cool idea, but seems like it could only be played digitally, and would be a nightmare to program...
Bilbo21

One way to do it 4d would be to have 8 3D boards in a row, and moving to the next board along would be moving to the next dimension

RPaulB

Right Bilbo21.  And the 8 3d boards would be those between you and your opponent.  Here is a small example.  Keep it simple at first. The pawm must move from board (8x8x8) to board  and in the same cube each board.   To capture it is in the same moved to board , but one cube over in one of the 3 dimensions.   YOU have just played your FIRST 4D chess game  ..

RPaulB

Hi ijgeoffrey.    What I just said is pretty easy to program.   It is not even that hard to think out.     Please try it.  To help the Bishop moves from board to board and one of 6 cubes over in one of the 3 dimension too.   But may move thru several boards in one move.  That's not that hard to see,  and now you have just thought thru your FIRST 4D  Chess game.    We three may be the only ones on earth to do that so far.

ijgeoffrey

Fascinating! Although I'm not sure I see the benefit of having so many boards, unless you're going to have a large number of pieces... Why would that be better than 3D?

RPaulB

Regretablely,  it isn't.   Chess is a game.  Why play at all ?   But there are only a few ways to "see" 4 dimensional space.  This one is pretty easy.  Most people will just pass right over the expression 4D.  You are expanding your reasoning ability trying to think in 4D , alot.  Most likely in the end, the only thing you may say is I did it once,   And you did, infact said "fascinating".   On the other hand if you want to understand 4D, this one seems great.   And makes 960 look childish.    As I told Bilbo21 before,  should ever finish a 4D game, you would be the ONLY 4D Grand Master.

RPaulB

Here is a little more.  The Rook goes on the same cube thru each board or on any of the 3 dimensions on the board it is in, and the queen both rook and bishop, naturally.  The king, the queen for one cube and the knight , you can figure out.   These can get more complicated if you allow 2 or more dimensions to change.  We used the one dimensional rule.

ijgeoffrey

I think this is too much for my brain. Lol. :P

But I always thought time was the fourth dimension? https://en.m.wikipedia.org/wiki/Spacetime

Bilbo21

RPaulB may wish to contradict me here, but in my opinion

One way to think about how you might discover a new dimension is when there is a point you can not reach by simply using the paths of previous dimensions.
Dimensions have no order, therefore time could be taken as the only dimension and others added on to it.  So there is no reason you cannot have 4 dimensions without time in.  I will leave someone who knows more about string theory (if you believe in it) to say about further dimensions.

RPaulB

ijgeoffrey,  thanks for comments.  The fact that you just said you thought time was the fourth dimension shows you can and maybe did see 4D space.   Time normally is thought of that way.  but space can be fourth too, you did hear of 11 dimensional space too, some place like string theory..   Now you can picture 4D as 8 3d board.  A lot of chess players can't do that..

ijgeoffrey

It is difficult, but yes, I think I can visualize the four dimensional board concept. Mind-boggling! :)

17rileyc

I live in the 5th dimension.

ijgeoffrey

My little brother's invisible friend is from the 5th dimension (I'm told)! Have you met? His name is Tape. XD

RPaulB

And thanks Bilbo21 too.   No, no contradictions,  Infact I liked that you talked about the ORDER of dimensions.  That is why we can lay the 8 boards between us and our opponent.  WE can order them any way and this way is easy to see.  Off the subject alittle, but there are no strings,  There is only 3D space, look around, don't let other people tell you something that isn't true.   And you are doing a great job of seeing dimensions with and without time.  It is so close to what a preon is.  TIME and ONE DIMENSION which can not be seperated.  You can not have one without the other;  period.

RPaulB

17rileyc;  if you set up the 8 boards in 8 rooms down a hall in your home, we can play 5D chess with you and any brothers !!   If we can find 8 homes next to each other on a street and buy them we can play 6D chess.  But the oppentent got to live in the end one.

Bilbo21

That would be good exercise!

Robert_New_Alekhine

That would be interesting...and impossible!

RPaulB

I am afraid I made a  bad misstake, sorry.  This 4D chess sounded more interesting than it is.   The board is fine, but placing peices does not work well,  It might be helped with many more pawns or some other piece that doesn't move much.   I am a little embarresed  I didn't look deeper at the start.  Sorry again.  

17rileyc

Could've had a V8.