Splatted wrote:
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!
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| Go on a Sphere or other 4 connected graph http://www.lifein19x19.com/viewtopic.php?f=10&t=6902 |
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| Author: | SmoothOper [ Fri Oct 05, 2012 1:08 pm ] |
| Post subject: | Go on a Sphere or other 4 connected graph |
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. |
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| Author: | maproom [ Fri Oct 05, 2012 1:32 pm ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
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. |
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| Author: | Splatted [ Fri Oct 05, 2012 5:39 pm ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
Why not just use a regular board and say the end of one side is the beginning of its opposite. i.e. 1, 3, 6 and 8 make a square. 4 + 5 and 3 + 7 each make a line of two stones. |
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| Author: | Bonobo [ Fri Oct 05, 2012 6:25 pm ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
Splatted wrote: 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!
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| Author: | Samura [ Sat Oct 06, 2012 1:24 am ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
Splatted wrote: 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. 
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| Author: | Mef [ Sat Oct 06, 2012 4:27 am ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
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/ |
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| Author: | SmoothOper [ Sat Oct 06, 2012 7:31 am ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
Toroid FTW!! You can even play it on a regular board. So how do you make life ? |
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| Author: | Phelan [ Sun Oct 07, 2012 9:45 pm ] |
| Post subject: | Re: Go on a Sphere or other 4 connected graph |
Mef wrote: 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. 
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