Forum for Toroidal Go

old content moved from Unusual Gobans [#4342]

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Malcolm: old content moved from Unusual Gobans (2017-10-10 01:23) [#11017]

[ext] this introduction.

On this board, there are no corners or sides. The referenced [ext] page has a picture of a physical 19x19 board made this way.

Some Chinese people call this variant Daoqi (道棋). See Daoqi.

Torogo is a free Android app for playing toroidal go - but the link is dead as of 2017-06-17.

A common computer hack is to link the top with bottom, and left with right sides of a virtual board to make a torus.

It's possible to play go on the surface of any 3d object.

"Surface? " what surface? Has anyone in here thought about 3-Dimensionnal Go? a nice match on 9x9x9 gobans whith all the usual rules? - see [below|! 3D and 4D Goban].

rubilia: The roundgo map looks really good. (Beautiful shape!) -- Another goban I like is the 19x19 completely borderless one, wich can be created by defining the two end points of each row (resp. each column) to be adjacent. Everything there appears as if in an infinite 2dim square crystal structure with period of 19 points, and the actual board beeing just an arbitrary 19x19 section of the grid. (You could shift this 19x19 board focus by any step, but, although the game probably will look different, it will be the same.) -- Well, it's hard to get settled in the beginning, because there're no corners at all, every point is a "middle-of-the-board" point.

PurpleHaze: This variant is what is known as an anchor-ring (a torus where the major and minor axes are equal). We were playing go on them 20 years ago. Chess players have been playing on them for over a hundred years (see Dawson's Five Classics of Fairy Chess).

rubilia: That's true, more than just a few games have been played using a "simple" toroidal goban (unlike any of the more complicated tori, wich go players don't seem to be fond of). Two friends of mine, both non-scientists, had enjoyed borderless go already before I asked them if they knew it. However, there's almost nothing written to be found about it, neither in Sensei's nor in Real Libraries or elsewhere in the net. Could anyone recommend any arguable literature? I suppose, particularly the openings must be very different!

Malcolm: rubilia, see [ext] this intro.

PurpleHaze: One amusing thing about an anchor-rings is that every ladder breaks itself. Other tori can be even more amusing: choose the appropriate major/minor axes and every stone breaks every ladder.

Zar: Without sides, the komi should be for black.

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192.241.63.79: ((no subject)) (2017-10-20 01:38) [#11027]

How would playing on the surface on a Klein bottle differ in playstyle and et cetera as compared to playing on the surface of a torus in this variant?

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Malcolm: Re: ((no subject)) (2017-10-20 11:59) [#11028]

No idea! But I'm curious about that too. I'd like to extend the question to the projective plane, and several other interesting ways to remove the edges while still keeping a graph of n*n points - some variants have n*n - 1 points.

I'm not aware of any games having been played on those surfaces.

 
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