Three Colour Go

For discussing go rule sets and rule theory
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Marcus
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Re: Three Colour Go

Post by Marcus »

Ah yes ... my visualization skills are lacking, it seems.

Thanks for the image.
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prokofiev
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Re: Three Colour Go

Post by prokofiev »

The key question here (for different numbers of liberties and differently shaped regions) is how to play such a game on the forum!

I guess the euclidean ones, like the hexagonal one Fwiffo posted, or the "dual" one with triangular regions and 6 liberties per stone, would be easiest.

For example:

--..--..--..--..--
..--..--..--..--..
--..--..--..--..--
..--..--..--..--..



Could be the board for the hexagonal one, with .'s empty intersections and -'s vacant spaces (i.e. each pair of dashes is just denoting a hexagonal region, not a place to play stones)

Click Here To Show Diagram Code
[go]$$B
$$SS..SS..SS..SS..SS
$$..SS..SS..SS..SS..
$$SS..SS..SS..SS..SS
$$..SS..SS..SS..SS..[/go]


(replaced dashes with S's since the go tag didn't like dashes.)

Edit: My diagram is still not displaying. What's wrong with it?

Edit: Fixed
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prokofiev
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Re: Three Colour Go

Post by prokofiev »

Click Here To Show Diagram Code
[go]$$B
$$|..|..|..|..|..|
$$..|..|..|..|..|..
$$|..|..|..|..|..|
$$..|..|..|..|..|..
$$|..|..|..|..|..|
$$..|..|..|..|..|..[/go]


More cryptic looking, perhaps?

Click Here To Show Diagram Code
[go]$$B
$$--..--..--..--..--
$$..--..--..--..--..
$$--..--..--..--..--
$$..--..--..--..--..
$$--..--..--..--..--
$$..--..--..--..--..[/go]


Better? (This is with dashes, which do work.)
Last edited by prokofiev on Thu Jul 22, 2010 10:53 am, edited 1 time in total.
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fwiffo
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Re: Three Colour Go

Post by fwiffo »

Pentagon tiling is also possible (though the pentagons are not regular), with intersections having varying numbers of liberties.

Image
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daniel_the_smith
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Re: Three Colour Go

Post by daniel_the_smith »

That would make my head hurt.
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Li Kao
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Re: Three Colour Go

Post by Li Kao »

Or perhaps a Penrose quasi crystal. :twisted:
http://en.wikipedia.org/wiki/Penrose_tiling
http://en.wikipedia.org/wiki/Quasicrystal
Image
Last edited by Li Kao on Thu Jul 22, 2010 11:01 am, edited 1 time in total.
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prokofiev
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Re: Three Colour Go

Post by prokofiev »

fwiffo wrote:Pentagon tiling is also possible (though the pentagons are not regular), with intersections having varying numbers of liberties.


These are great! Apparently some were discovered by Marjorie Rice, a housewife, in the seventies after reading a column of Martin Gardner's.
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Re: Three Colour Go

Post by prokofiev »

Click Here To Show Diagram Code
[go]$$B
$$M..MM..MM..MM..MM..M
$$.MM..MM..MM..MM..MM.
$$M..MM..MM..MM..MM..M
$$.MM..MM..MM..MM..MM.
$$M..MM..MM..MM..MM..M
$$.MM..MM..MM..MM..MM.
$$M..MM..MM..MM..MM..M
$$.MM..MM..MM..MM..MM.
$$M..MM..MM..MM..MM..M[/go]


Maybe I like this best for hexagonal go. Anyone want to try? The board has 90 intersections, so sort of like 9x9. X's are not intersections.

Maybe this is better, with circles allowed and empty meaning not an intersection? (Edit: put boundary on this one.)

Click Here To Show Diagram Code
[go]$$B
$$----------------------
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$----------------------[/go]


Edit: One could also add all the appropriate lines as in

Click Here To Show Diagram Code
[go]$$Bcm1
$$----------------------
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|.CC..CC..CC..CC..CC.|
$$----------------------
$${LN B1 A2}[/go]


(not doing the rest right now!)
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Magicwand
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Re: Three Colour Go

Post by Magicwand »

I THINK I CREATED A MONSTER!!!
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The greater the unknown"
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fwiffo
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Re: Three Colour Go

Post by fwiffo »

With some work, you can make it look cleaner. Plus if the grid is going to be hexagonal, cut off the corners and make the board a hexagon too.
Click Here To Show Diagram Code
[go]$$Bcm1
$$----------------------
$$|_________CC..CC_____|
$$|________C..CC..CC___|
$$|_______..CC..CC..CC_|
$$|________C..CC..CC..C|
$$|_______..CC..CC..CC.|
$$|_____..CC..CC..CC..C|
$$|___..CC..CC..CC..CC.|
$$|C..CC..CC..CC..CC..C|
$$|_CC..CC..CC..CC..CC_|
$$|___CC..CC..CC..CC___|
$$|_____CC..CC..CC_____|
$$----------------------
$${LN A6 B7}
$${LN B7 C7}
$${LN C7 D8}
$${LN D8 E8}
$${LN E8 F9}
$${LN F9 G9}
$${LN G9 H8}
$${LN H8 G7}
$${LN G7 F7}
$${LN F7 E8}
$${LN F7 E6}
$${LN E6 D6}
$${LN D6 C7}
$${LN D6 C5}
$${LN C5 B5}
$${LN B5 A6}
$${LN A8 B9}
$${LN B9 C9}
$${LN C9 D10}
$${LN D10 E10}
$${LN E10 F11}
$${LN F11 G11}
$${LN G11 H10}
$${LN H10 G9}
$${LN E10 F9}
$${LN C9 D8}
$${LN A8 B7}[/go]
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ahd
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Re: Three Colour Go

Post by ahd »

Magicwand wrote:I THINK I CREATED A MONSTER!!!


Wait until the arbitrary-polygon, arbitrary-colour edition of EidoGo comes out. :)
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Re: Three Colour Go

Post by Exologist »

Ok, you guys are just hurting my head now. Though on subject of complicated ideas, how about a 38x38 where 4 pairs of people can only play on their respective 19x19 corners but can work in unison along the edges?

Too bad there isn't a way to test out 3 color go on KGS or perhaps I'd try it.
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Mark356
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Re: Three Colour Go

Post by Mark356 »

I played a game on a hexagonal grid with triangular tiling. It was very awkward, because each point (except the ones on the edges) had six liberties rather than four. The extra two liberties meant that capture was almost impossible, and most of the board ended up in long intertwined tentacles.

Re three color go scoring: if a group dies (that is, its last liberty filled in) why not simply count those stones against the points of whoever they belong to? That is, if 5 black stones are removed from the board, have the black player subtract 5 from his or her score? This would require allowing for negative scores, but it seems simpler to me.
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daal
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Re: Three Colour Go

Post by daal »

daniel_the_smith wrote:That would make my head hurt.


That's what I thought the first time I saw a go board, and was told that the pieces go on the intersections and not in the squares.
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Li Kao
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Re: Three Colour Go

Post by Li Kao »

Mark356 wrote:Re three color go scoring: if a group dies (that is, its last liberty filled in) why not simply count those stones against the points of whoever they belong to? That is, if 5 black stones are removed from the board, have the black player subtract 5 from his or her score? This would require allowing for negative scores, but it seems simpler to me.

I think this would be (almost) the same as using areascoring.
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