HEX VS XIANGQI

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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Xiangqi (Chinese: 象棋; pinyin: xiàngqí; Wade–Giles: Hsiang ch'i; English: /ˈʃɑːŋtʃi/), also called Chinese chess or Elephant chess, is a strategy board game for two players. It is one of the most popular board games in China, and is in the same family as Western chess, chaturanga, shogi, Indian chess and janggi. Besides China and areas with significant ethnic Chinese communities, xiangqi is also a popular pastime in Vietnam, where it is known as cờ tướng. The game represents a battle between two armies, with the object of capturing the enemy's general (king). Distinctive features of xiangqi include the cannon (pao), which must jump to capture; a rule prohibiting the generals from facing each other directly; areas on the board called the river and palace, which restrict the movement of some pieces (but enhance that of others); and placement of the pieces on the intersections of the board lines, rather than within the squares. Xiangqi is played on a board nine lines wide and ten lines long. As in the game Go (圍碁; or Wei ch'i 圍棋), the pieces are placed on the intersections, which are known as points. The vertical lines are known as files (Chinese: 路; pinyin: lù; "road"), and the horizontal lines are known as ranks (Chinese: 線/綫; pinyin: xiàn; "line"). Centred at the first to third and eighth to tenth ranks of the board are two zones, each three points by three points, demarcated by two diagonal lines connecting opposite corners and intersecting at the centre point. Each of these areas is known as 宮 About this soundgōng, a castle. Dividing the two opposing sides, between the fifth and sixth ranks, is 河 hé, the "river". The river is often marked with the phrases 楚河 About this soundchǔ hé, meaning "River of the Chu ", and 漢界 About this soundhàn jiè, meaning "Border of the Han", a reference to the Chu–Han War. Although the river (or Hanchu boundary) provides a visual division between the two sides, only two pieces are affected by its presence: soldiers have an enhanced move after crossing the river, and elephants cannot cross it. The starting points of the soldiers and cannons are usually, but not always, marked with small crosses.

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