HEX VS SHATAR

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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Shatar (Mongolian: ᠮᠣᠩᠭᠣᠯ ᠰᠢᠲᠠᠷ᠎ᠠ Monggol sitar-a, "Mongolian shatranj"; a.k.a. shatar) and hiashatar are two chess variants played in Mongolia. The rules are similar to standard chess; the differences being that: The noyan (ᠨᠣᠶᠠᠨ, lord) does not castle. The küü (ᠬᠦᠦ, pawn) does not have an initial double-step move option, except for the queen pawn or king pawn. In old shatar rules, a pawn that reaches its eighth rank must promote to half-power tiger. But a pawn could step back to its sixth rank to promote to all-power tiger. It moves like a queen. The baras (ᠪᠠᠷᠰ or ᠪᠠᠷᠠᠰ, tiger; Persian: fers) moves like a promoted rook in shogi: like a chess rook or one square diagonally. It was called half-power tiger or half-power lion in old shatar rules. In modern shatar rules, a baras moves like a queen. The mori (knight; ᠮᠣᠷᠢ) cannot deliver mate. In modern shatar rules, the mori can give mate. The bishop (teme) and rook (terge) move as they do in standard chess. The game always starts by White playing 1.d4 and Black responding with 1...d5. This is the only time in the game a pawn may advance two squares; some sources claim this initial move can optionally be made with the e-pawn. In old shatar rules, Ujimqin player must make an initial double-step move with the queen pawn; in Chahar, the king pawn. In old shatar rules, baremate is draw. In old shatar rules, one special rule is called tuuxəi, like komi in Go. A player could leave the enemy with only two pieces remaining (noyan and another piece) at the end. Then he must start making checks using the terge or baras and make consecutive checks until checkmate. Before checkmate, number of consecutive checks is the number of tuuxəi. If a player wins by checkmate as in chess, he receives only one tuuxəi. A player usually leaves the enemy with one noyan and one küü to allow time to put his pieces into good positions for making consecutive checks.

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