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Subject: New game: Brique rss

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Luis Bolaños Mures
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BRIQUE

Introduction

Brique is a drawless connection game for two players: Black and White. It's played on the squares of a checkered board, which is initially empty. The top and bottom edges of the board are colored black; the left and right edges are colored white.

Definitions

. b .
b a c
. c .


If 'a' is a light square, the 'b' squares are its escorts.
If 'a' is a dark square, the 'c' squares are its escorts.

Play

Black plays first, then turns alternate. On his turn, a player must place one stone of his color on an empty point.

After a placement, if the two escorts of one or more squares are occupied by friendly stones and said squares aren't occupied by friendly stones yet, the player must place a stone of his color on each one of them, removing, where appropriate, any enemy stones already placed there. Note that some squares on the edge of the board only have one escort. These squares are not affected by this rule.

The game is won by the player who completes a chain of orthogonally adjacent stones of his color touching the two opposite board edges of his color. Draws are not possible.

Pie rule

The pie rule is used in order to make the game fair. This means that White will have the option, on his first turn only, to change sides instead of making a regular move.

Notes

Two like-colored, diagonally adjacent stones parallel to the NE-SW diagonal are always connected through a common neighbor in Brique, so, as in Hex, each square has actually six neighbours, and the board behaves like a rhombus, with one diagonal twice as shorter as the other. Needless to say, however, Brique is not isomorphic to Hex.

EDIT: The underlined sentence reflects a rule change as of December, 2012.
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Luis Bolaños Mures
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Brique is now in the database.
 
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Luis Bolaños Mures
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The Brique PDF rule sheet is now available for download.
 
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Rey Alicea
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Very nice Luigi.
 
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Nathan James
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What if a square has two white escorts and two black escorts?

. B .
B ? W
. W .

It would seem that following the black player's turn the square would turn black, but then following the white player's turn, the square would turn white. So it would change every turn until the one of the escorts is eliminated. Is this correct?
 
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Luis Bolaños Mures
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NJames wrote:
What if a square has two white escorts and two black escorts?

. B .
B ? W
. W .


It would seem that following the black player's turn the square would turn black, but then following the white player's turn, the square would turn white. So it would change every turn until the one of the escorts is eliminated. Is this correct?

No, it's not. There are no squares with more than two escorts. Also, escorts are not black or white stones, but dark or light squares. This is explained in the Definitions section:

luigi87 wrote:
. b .
b a c
. c .


If 'a' is a light square, the 'b' squares are its escorts.
If 'a' is a dark square, the 'c' squares are its escorts.

So, in your example, if '?' is a dark square, the square to the right of it and the square behind it are its escorts. Since those squares are both occupied by W, a W stone is also placed on '?'.

Instead, if '?' is a light square, the square to the left of if and the square in front of it are its escorts. Since those squares are both occupied by B, a B stone is also placed on '?'.

In either case, once the '?' is automatically filled or flipped, it won't change again for the remainder of the game.
 
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Nathan James
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Oh! Thanks for explaining that.
 
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