Re: [computer-go] What is the eye?

[Robert Jasiek <jasiek@xxxxxxxx>]

¹عاِ¼ِ wrote:
> I think that eye is very important.
> But,
> What is eye? and How do you define it?

A precise, general, and complete definition is available
for the Japanese 2003 Rules at

http://home.snafu.de/jasiek/j2003.html

combined with the inline attachment below. Note: The latest, still
unpublished version of the rules is 34. The changes to version 33 are
minor. The rules are essentially unequivocal now, except that I intend
to create a purely mathematical version, too. As you might notice, the
research result is pretty new!

-- 
robert jasiek






Subject: Group, Seki, Eyespace: Definitions
Date: Tue, 18 Nov 2003 18:37:42 +0100
From: Robert Jasiek <jasiek@xxxxxxxxxxxxxxxxx>
Organization: jasiek
Newsgroups: rec.games.go

SL tries to define some basic terms unequivocally. Below I provide
unequivocal definitions under the assumption that the Japanese 2003
Rules would already be in their final, unequivocal version.

http://home.snafu.de/jasiek/j2003.html

***

Definition: A _black-group_ is the union of all black-strings of a
black-region.

Definition: A _white-group_ is the union of all white-strings of a
white-region.

Definition: A _group_ is either a black-group or a white-group.

Note: For other purposes one might want to define group differently.

Definition: An _in-seki-space_ is a dame and, recursively, any
adjacent dame or any adjacent intersection of an in-seki region.

Definition: A _seki_ is the union of all strings of an in-seki-space.

Definition: A group is _independently-alive_ if it is not part of a
seki.

Definition: A _black-eye_ is a black-eye-point and, recursively, any
adjacent black-eye-point.

Definition: A _white-eye_ is a white-eye-point and, recursively, any
adjacent white-eye-point.

Definition: An _eye_ is either a black-eye or a white-eye.

Definition: A _black-eye-space_ of a black-group is the union of all
black-eyes of the black-group's region.

Definition: A _white-eye-space_ of a white-group is the union of all
white-eyes of the white-group's region.

Definition: An _eye-space_ is either a black-eye-space or a
white-eye-space.

***

The definitions apply under the Japanese 2003 Rules and for some
final-position. The latter is created trivially. For other
rulesets, some modifications of the rules would be necessary. It
is no problem if the scoring system should differ.

--
robert jasiek


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