HARE AND HOUNDS VS HEX

Hare games are two-player abstract strategy board games that were popular in medieval northern Europe up until the 19th century. In this game, a hare is trying to get past three dogs who are trying to surround it and trap it. The three dogs are represented by three pieces which normally start on one end of the board, and the hare is represented by one piece that usually starts in the middle of the board or is dropped on any vacant point in the beginning of the game. Hare games are similar to Bear games and hunt games. One side has more pieces than the other with the larger side attempting to hem in the smaller side. The smaller side though is usually compensated with more powers. Where Hare games differ is that the hounds can only move forward or sideways, and not backwards. The hunters in the Bear games can move in all directions. Furthermore, the dog in the Hare games cannot capture any of the hares, unlike the tigers, leopards, jaguars, and foxes in the hunt games which can capture their respective prey counterparts. There are several different Hare game boards depending upon the country of origin. Many preferred the narrow double-ended spearhead-like boards with orthogonal and diagonal lines running through them. There were several variations on this design. However, one in Denmark used a round board, and another design is found in Latvia. Hare games are referred to by different names. In 19th century France, a hare game that was popular among the military was called The Soldiers' Game. The dog is sometimes referred to as a hound, and hence the alternative title to this game as Hare and hounds. Other names are French Military Game, Game of Dwarfs, The Devil among tailors, and Trevolpa or Volpalejden . As the rules of the game are simple to program, there are many electronic implementations of the game. The second link below allows you to play this game. In this computer game, the hares and hounds are reversed. Instead, it is the hounds attempting to surround and immobilize the hare.

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Hex is a two player abstract strategy board game in which players attempt to connect opposite sides of a hexagonal board. Hex was invented by mathematician and poet Piet Hein in 1942 and independently by John Nash in 1948. It is traditionally played on an 11×11 rhombus board, although 13×13 and 19×19 boards are also popular. Each player is assigned a pair of opposite sides of the board which they must try to connect by taking turns placing a stone of their color onto any empty space. Once placed, the stones are unable to be moved or removed. A player wins when they successfully connect their sides together through a chain of adjacent stones. Draws are impossible in Hex due to the topology of the game board. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper. Hex-related research is current in the areas of topology, graph and matroid theory, combinatorics, game theory and artificial intelligence.

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