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The Hex game is a connection game independently invented by two mathematicians, Piet Hein and John Nash, respectively in 1942 and 1947. The interest of this game mainly lies on the contrast between the simplicity of its rules and the potential complexity of its strategy. Another interesting aspect is that the game can't end in a tie.
The game of Hex was invented by Piet Hein in Denmark in 1942, and later rediscovered and popularized by John Nash. The game is attractive because it has extremely simple rules, yet a surprising amount of strategic depth. Other interesting aspects are that the game can't end in a tie, and that when playing without the swap rule, the first player is known to have a theoretical winning strategy, although nobody knows what that strategy is.


===GOAL===
== Rules ==
The goal for each player is to create a connected path of his tokens linking his two opposite sides of the board (of his color).


=== Goal ===


===OPENING===
The board has two red edges and two blue edges. Each player's goal is to connect their two edges by stones of their color.
The first player places a first token on any cell of the board. The second player has then the choice between:
*continue playing his current color (and thus place a second token anywhere on the board);
*or decide to switch colors and keep the first move for him. In this case the first player places another token with his new color.


=== Turns ===


===TURNS===
The players alternately place a stone of their own color on the board, with Red going first. A stone can be placed on any empty cell. Once placed, stones are never moved or removed.
After the first two moves (see OPENING), each player plays a token of his color on his turn. A token can be placed on any free cell of the board.


=== The swap rule ===


===GAME ENDS===
To make sure the first player does not have an unfair advantage, the swap rule is used. After the first player opens with a red stone, the second player has the option to "swap", or steal the opponent's first move. In this case, Red's initial stone is replaced by a blue stone and mirrored about the long diagonal. After this, it is Red's turn.
The game ends when one of the players has built a complete path with his tokens between his two sides of the board. The game can't end in a tie.


=== Game end ===


===VARIANTS===
The game ends when one of the players has connected their edges with a path of stones of their color. The game can't end in a tie. When it is clear to both players who will win, it is customary for the losing player to resign.
The game can be played on several different board sizes. The 6x6 board is designed to help beginners to understand the basic rules and discover simple game patterns. The 11x11 board is a more classic size. The 14x14 board is the one recommended by John Nash, one of the game inventor, and the 15x15 allowed longer plays.
 
== Game options and interface ==
 
=== Board size ===
 
The game can be played on boards of several different sizes. The 6x6 board is designed to help beginners understand the basic rules and discover simple game patterns. The 11x11 board is a more classic size and was used by Piet Hein. The 12x12 board was added because some players like even-sized boards. The 13x13 board is preferred by many experts. The 14x14 board was recommended by John Nash, and the 15x15 board allows even longer plays.
 
The 6x6 board size is only available in training mode.
 
=== Moves and swapping ===
 
To make a move, click on an empty cell. To guard against accidental misclicks, you have to confirm each move by clicking on the stone a second time (or use the "confirm" or "cancel" buttons above the play area).
 
On the second move of the game, you have the option to swap. To do so, click on the "swap" button above the play area. If you do not want to swap, simply make a normal move.
 
=== Resigning ===
 
Players can resign at any time (whether or not it is their turn). The resign button is found in the "additional game controls" menu, which is marked by three dots "..." in the upper right corner of the play area.
 
=== Passing ===
 
Passing (i.e., skipping a move) is rarely done in Hex. The reason is that passing never benefits a player: if you can win by passing, you can also win by making a random move. Nevertheless, the ability to pass has been included in the Board Game Arena implementation of Hex. It has certain specialized uses, such as teaching, giving handicap (i.e., giving an advantage to the weaker player), or setting up an initial board position.
 
The option to pass is found in the "additional game controls" menu, which is marked by three dots "..." in the upper right corner of the play area. If your opponent passes and you do not want to allow it for some reason, simply pass yourself, which effectively returns the game to its previous state. Three passes in a row are not permitted, so if both players have passed, the next player must make a proper move.
 
=== Accessibility ===
 
The shades of red and blue that Hex uses by default can be difficult to distinguish for colorblind people. To compensate for this, there is a game display option for color blindness in the Options menu below the game board.

Revision as of 22:00, 31 July 2022

The game of Hex was invented by Piet Hein in Denmark in 1942, and later rediscovered and popularized by John Nash. The game is attractive because it has extremely simple rules, yet a surprising amount of strategic depth. Other interesting aspects are that the game can't end in a tie, and that when playing without the swap rule, the first player is known to have a theoretical winning strategy, although nobody knows what that strategy is.

Rules

Goal

The board has two red edges and two blue edges. Each player's goal is to connect their two edges by stones of their color.

Turns

The players alternately place a stone of their own color on the board, with Red going first. A stone can be placed on any empty cell. Once placed, stones are never moved or removed.

The swap rule

To make sure the first player does not have an unfair advantage, the swap rule is used. After the first player opens with a red stone, the second player has the option to "swap", or steal the opponent's first move. In this case, Red's initial stone is replaced by a blue stone and mirrored about the long diagonal. After this, it is Red's turn.

Game end

The game ends when one of the players has connected their edges with a path of stones of their color. The game can't end in a tie. When it is clear to both players who will win, it is customary for the losing player to resign.

Game options and interface

Board size

The game can be played on boards of several different sizes. The 6x6 board is designed to help beginners understand the basic rules and discover simple game patterns. The 11x11 board is a more classic size and was used by Piet Hein. The 12x12 board was added because some players like even-sized boards. The 13x13 board is preferred by many experts. The 14x14 board was recommended by John Nash, and the 15x15 board allows even longer plays.

The 6x6 board size is only available in training mode.

Moves and swapping

To make a move, click on an empty cell. To guard against accidental misclicks, you have to confirm each move by clicking on the stone a second time (or use the "confirm" or "cancel" buttons above the play area).

On the second move of the game, you have the option to swap. To do so, click on the "swap" button above the play area. If you do not want to swap, simply make a normal move.

Resigning

Players can resign at any time (whether or not it is their turn). The resign button is found in the "additional game controls" menu, which is marked by three dots "..." in the upper right corner of the play area.

Passing

Passing (i.e., skipping a move) is rarely done in Hex. The reason is that passing never benefits a player: if you can win by passing, you can also win by making a random move. Nevertheless, the ability to pass has been included in the Board Game Arena implementation of Hex. It has certain specialized uses, such as teaching, giving handicap (i.e., giving an advantage to the weaker player), or setting up an initial board position.

The option to pass is found in the "additional game controls" menu, which is marked by three dots "..." in the upper right corner of the play area. If your opponent passes and you do not want to allow it for some reason, simply pass yourself, which effectively returns the game to its previous state. Three passes in a row are not permitted, so if both players have passed, the next player must make a proper move.

Accessibility

The shades of red and blue that Hex uses by default can be difficult to distinguish for colorblind people. To compensate for this, there is a game display option for color blindness in the Options menu below the game board.