Go on a Sphere or other 4 connected graph

[SmoothOper]

I am wondering if there is any theory for Go on a sphere, where there are no edges. Seems like it could be feasible with playing on a computer to create and display a graph with no edges.

[maproom]

If you want to play on something like a sphere, you can use a small rhombicosidodecahedron, with 60 4-connected vertices.

If all you want to do is use a board with no edges, you can use a torus, of any size. But this gives a rather dull game, as it is hard to make any territory, and whole-board seki is a likely result.

[Splatted]

Why not just use a regular board and say the end of one side is the beginning of its opposite. i.e.

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$$ | 1 . . . . . . . . 2 . . . . . . . . 3 |
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$$ | 4 . . , . . . . . , . . . . . , . . 5 |
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$$ | 6 . . . . . . . . 7 . . . . . . . . 8 |
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Click Here To Show Diagram Code

[go]$$c This is a label for the diagram.
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$$ | 1 . . . . . . . . 2 . . . . . . . . 3 |
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$$ | 4 . . , . . . . . , . . . . . , . . 5 |
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$$ | 6 . . . . . . . . 7 . . . . . . . . 8 |
$$ ---------------------------------------[/go]

1, 3, 6 and 8 make a square. 4 + 5 and 3 + 7 each make a line of two stones.

[Bonobo]

Why not just use a regular board and say the end of one side is the beginning of its opposite. [..]

You mean we’d have to abstract it ourselves? Imagine that in us our heads? Without seeing it? Impossible!

[Samura]

Why not just use a regular board and say the end of one side is the beginning of its opposite. i.e.

I think it would be easier playing with a virtual toroidal flying go board inside an holodeck...

Okay, this thread isn't doing good to my mind.

[Mef]

I think it was announced in a different thread, but there's a website that provides basic playing functionality for a game on a torus - http://cinderblock.zpmorgan.com/

[SmoothOper]

Toroid FTW!! You can even play it on a regular board.

So how do you make life ?

[Phelan]

I think it was announced in a different thread, but there's a website that provides basic playing functionality for a game on a torus - http://cinderblock.zpmorgan.com/

Anyone that wants to try it feel free to send me a pm with the game link.