Baron von Skippy on 29 Dec 2003 03:29:22 -0000


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Re: [spoon-discuss] Robot Chess


>>> No, it was a reply to me--did you not get the post on grid ideas that 
>>> ended
>>> like that? Who else would talk about 11-dimensional space? :)
>>>
>>> And if you can even imagine picturing 11-dimensional space, you're a 
>>> much
>>> better Nomic player than anyone else on Earth...
>>>
>>> Zarpint
>>>
>>
>> I used to play 4 dimensional noughts and crosses (I think you lot in 
>> the US call it tic-tac-toe ?) years ago in school, and I seem to 
>> remember we eventually expanded it to 5D, but it is actually a little 
>> too easy in a one on one situation - the player who moves first almost 
>> always wins.
>
>I toyed with this for a while with some friends, way back in high 
>school; we reached the conclusion that in order for an n-dimensional 
>game to be playable, the length of each side of the board had to be n+1 
>- the first player can guarantee a win if the board is 2x2, 3x3x3, 
>4x4x4x4, or 5x5x5x5; but not in the case of 3x3, 4x4x4, 5x5x5x5, or 
>6x6x6x6x6.

-I remember trying to get people to play 4D tic-tac-toe with me. Drawing the board was a pain, and then they didn't want to for various reasons. Yeah... best Chem class I ever took, that was. Only Chem class I ever took, actually.-
>
>We built a hyperbolic board, too, but I don't know what happened to 
>it...

-Nope, I can't think of something suitably stupid to say here. You'll all just have to tune in next week.-
>
>> This 11 by 11 situation would have me treating loacation as a digital 
>> sequence where only 1 bit can be altered in a single operation. I 
>> wouldn't even attempt to think of it in terms of actual terrain.
>
>That's what I was thinking; I never really got the hang even of 5 
>dimensional visualization, much less anything higher.
>
-It's easy to imagine 5D. It's like 4D, but with another dimension at a right angle to all the others. I tend not to try to picture it, though. It gives me a nosebleed.-

[[BvS]]
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