HEX VS SHOGI
HEX
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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SHOGI
Shogi (将棋, shōgi, English: /ˈʃoʊɡiː/, Japanese: , also known as Japanese chess or the Game of Generals, is a two-player strategy board game that is the Japanese variant of chess. It is the most popular chess variant in Japan. Shōgi means general's (shō 将) board game (gi 棋). Shogi was the earliest chess variant to allow captured pieces to be returned to the board by the capturing player. This drop rule is speculated to have been invented in the 15th century and possibly connected to the practice of 15th century mercenaries switching loyalties when captured instead of being killed. The earliest predecessor of the game, chaturanga, originated in India in the 6th century, and the game was likely transmitted to Japan via China or Korea sometime after the Nara period. Shogi in its present form was played as early as the 16th century, while a direct ancestor without the drop rule was recorded from 1210 in a historical document Nichūreki, which is an edited copy of Shōchūreki and Kaichūreki from the late Heian period (c. 1120). Two players face each other across a board composed of rectangles in a grid of 9 ranks (rows, 段) by 9 files (columns, 筋) yielding an 81 square board. In Japanese they are called Sente 先手 (first player) and Gote 後手 (second player), but in English are conventionally referred to as Black and White, with Black the first player. The board is nearly always rectangular, and the rectangles are undifferentiated by marking or color. Pairs of dots mark the players' promotion zones.