HEX VS SHATRANJ

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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Shatranj (Arabic: شطرنج‎; Persian: شترنج‎; from Middle Persian chatrang چترنگ) is an old form of chess, as played in the Sasanian Empire. Its origins are in the Indian game of chaturaṅga. Modern chess gradually developed from this game, as it was introduced to the western world by contacts in Muslim Al-Andalus (modern Spain) and in Sicily in the 10th century. The Persian word shatranj ultimately derives from Sanskrit (Sanskrit: चतुरङ्ग; caturaṅga) (catuḥ: "four"; anga: "arm"), referring to the game of the same name: Chaturanga. In Middle Persian the word appears as chatrang, with the 'u' lost due to syncope and the 'a' lost to apocope, such as in the title of the text Mâdayân î chatrang ("Book of Chess") from the 7th century AD. In Persian folk etymology, a Persian text refers to Shah Ardashir I, who ruled from 224–241, as a master of the game: Three books written in Pahlavi, Kar-Namag i Ardashir i Pabagan, Khosrow and ridag, and Wizārišn ī čhatrang ("Treatise on Chess"), also known as the Chatrang Nama ("Book of Chess"), all mention chatrang. In Kār-nāmak it is said that Ardashīr "with the help of the gods became more victorious and experienced than all others in polo, horsemanship, chess, backgammon, and other arts," and in the small treatise on Khosrow and ridag, the latter declares that he is superior to his comrades in chess, backgammon, and hašt pāy. Bozorgmehr, the author of Wizārišn ī čhatrang, describes how the game of chess was sent as a test to Khosrow I (r. 531-79) by the "king of the Hindus Dēvsarm" with the envoy Takhtarītūs and how the test was answered by the vizier Bozorgmehr, who in his turn invented the game Backgammon as a test for the Hindus. These three Middle Persian sources do not give any certain indication of the date when chess was introduced into Persia. The mentions of chess in Kar-Namag i Ardashir i Pabagan and Khosrow and ridag are simply conventional and may easily represent late Sasanian or even post-Sasanian redactions. According to Touraj Daryaee, Kar-Namag i Ardashir i Pabagan is from 6th century. Wizārišn ī čhatrang was written in the 6th century.

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