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===INTRODUCTION===
===INTRODUCTION===
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 the 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 and popularized in Denmark by Piet Hein in 1942, and later independently discovered by John Nash in 1947. The game is attractive because it has extremely simple rules, yet a surprising amount of strategic depth. Another interesting aspect is that the game can't end in a tie.




===GOAL===
===GOAL===
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).


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.


===OPENING===
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===
 
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 can either
* continue to play normally, by placing a blue stone, or
* decide to switch colors. In that case, the second player becomes Red, the first player becomes Blue, and the first move is kept. After this, the game continues normally, i.e., it is the first player's turn to play a blue stone.  
 
Alternatively, the swap rule can also be implemented in such a way that the players keep their original colors. In that case, if Blue wants to swap, 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. It is customary for the losing player to resign when it is clear to both players who will win.


===GAME ENDS===
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.


===BOARD SIZES===


===VARIANTS===
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 13x13 board is preferred by many experts. The 14x14 board is the one recommended by John Nash, and the 15x15 board allows even longer plays.
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.

Revision as of 06:34, 25 May 2021

INTRODUCTION

The game of Hex was invented and popularized in Denmark by Piet Hein in 1942, and later independently discovered by John Nash in 1947. The game is attractive because it has extremely simple rules, yet a surprising amount of strategic depth. Another interesting aspect is that the game can't end in a tie.


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 can either

  • continue to play normally, by placing a blue stone, or
  • decide to switch colors. In that case, the second player becomes Red, the first player becomes Blue, and the first move is kept. After this, the game continues normally, i.e., it is the first player's turn to play a blue stone.

Alternatively, the swap rule can also be implemented in such a way that the players keep their original colors. In that case, if Blue wants to swap, 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. It is customary for the losing player to resign when it is clear to both players who will win.


BOARD SIZES

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 13x13 board is preferred by many experts. The 14x14 board is the one recommended by John Nash, and the 15x15 board allows even longer plays.