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 Post subject: Keil: a Go-like game for hexagonal boards
Post #1 Posted: Sun Dec 08, 2019 8:42 am 
Lives with ko

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Keil is a Go-like game for two players, Black and White, played on the spaces (cells) of an initially empty hexhex board. It preserves crosscuts and ko thanks to the idea of coupling cells, which reduces the natural connectivity of the board. Otherwise, the rules are the same as in Go. In particular, the concept of domain performs the same functions as the concepts of group, liberty and territory in Go.

I've played the game a number of times, and it seems quite interesting. Here are the full rules:

Definitions

Two adjacent cells are said to be coupled if there is a third cell adjacent to both such that the three cells together contain 0 to 3 stones of one color only.

A black domain is a set of mutually coupled cells containing one or more black stones, one or more empty cells and no white stones. Likewise, with colors reversed, for white domains.

Play

Black plays first, then turns alternate. On your turn, you must pass or place a stone of your color on an empty cell. After a placement, remove all enemy stones which don't belong to any domains. After all removals, the stone you placed must be part of at least one domain, and the current board position must be different from the board positions at the end of all your previous turns. Otherwise, your placement was illegal.

The game ends when both players pass in succession. The player with the higher score in the final position wins. A player's score is the number of cells belonging to their own domains only, plus a komi in the case of White.

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 Post subject: Re: Keil: a Go-like game for hexagonal boards
Post #2 Posted: Sun Dec 08, 2019 3:17 pm 
Lives with ko

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A crosscut looks like this:

Image

And here are some ko shapes:

Image Image
Image Image

In all cases, Black can start the ko by playing at 1 and removing the marked white stone.

These are the smallest living shapes in the corner:

Image Image

This is the smallest living shape in the edge of the board:

Image

And here is the smallest living shape in the middle of the board:

Image

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 Post subject: Re: Keil: a Go-like game for hexagonal boards
Post #3 Posted: Wed Dec 11, 2019 10:33 am 
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Huh, this looks pretty neat! It's interesting that living shapes can be so chunky and fat, haha. Might be cool to play a few games of this some time.

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 Post subject: Re: Keil: a Go-like game for hexagonal boards
Post #4 Posted: Thu Dec 12, 2019 3:05 am 
Lives with ko

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Applebaps wrote:
It's interesting that living shapes can be so chunky and fat

Indeed, that's because two adjacent stones are not permanently connected until there is a third, same-color stone adjacent to both.

Here is a picture of a finished game for good measure. Black won by 0.5, with 67 points to White's 66.5. Komi was 6.5 points. In this case, stones were placed on the intersections of a hexagonal grid of triangles instead of the spaces of a hexhex grid. The small stones are territory points:

Attachment:
67.png
67.png [ 197.86 KiB | Viewed 621 times ]

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 Post subject: Re: Keil: a Go-like game for hexagonal boards
Post #5 Posted: Sat Dec 21, 2019 1:41 pm 
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The picture in my previous post was taken from this game:

Image

Thoughts?

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