visualizing valid and invalid go states

HermanHiddema · **#41**

dohduhdah wrote:

I don't see how there are states that are unreachable, except under certain assumptions
(like players not doing weird things like filling up their own eyes, which would usually
be unreasonable given the goal of the game).

For the concept of theoretical games, where the only assumption is that both sides play
in accordance with the rules, any valid state can obviously be reached.

The assumption here, as introduced by Mike, is no passes.

There is no reason to apply such a restriction, other than as a theoretical thought experiment, but since the whole thread is very much about theory, it was an interesting tangent.

With passes, any state can obviously be reached.

dohduhdah · **#42**

I've created a new version:

http://i.imgur.com/HxUgKs3.jpg

Hopefully that clarifies the relationship between the pattern:

http://i.imgur.com/CucxhXS.jpg

and valid states (legal positions):

http://i.imgur.com/4Xev8VV.jpg

That last graphic comes from a paper on the combinatorics of go:
http://homepages.cwi.nl/~tromp/go/gostate.ps

https://www.usgo.org/files/bh_library/Tromp.pdf
http://homepages.cwi.nl/~tromp/go/legal.html

tj86430 · **#43**

dohduhdah wrote:

I've created a new version:

http://i.imgur.com/HxUgKs3.jpg

Now this is a great picture. Before, I was too busy (read: lazy) to try to figure out what your diagrams are actually all about, while this shows it very clearly with (almost) one glance.

visualizing valid and invalid go states

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