Rithmomachy (or Rithmomachia, also Arithmomachia, Rythmomachy, Rhythmomachy, or several other variants; sometimes known as The Philosophers' Game) is...
Rithmomachy (or Rithmomachia, also Arithmomachia, Rythmomachy, Rhythmomachy, or several other variants; sometimes known as The Philosophers' Game) is a highly complex, early European mathematical board game. The earliest known description of it dates from the eleventh century. A literal translation of the name is "The Battle of the Numbers". The game is much like chess, except most methods of capture depend on the numbers inscribed on each piece.
It has been argued that between the twelfth and sixteenth centuries, "rithmomachia served as a practical exemplar for teaching the contemplative values of Boethian mathematical philosophy, which emphasized the natural harmony and perfection of number and proportion. The game, Moyer argues, was used both as a mnemonic drill for the study of Boethian number theory and, more importantly, as a vehicle for moral education, by reminding players of the mathematical harmony of creation."
Very little, if anything, is known about the origin of the game. Medieval writers attributed it to Pythagoras, but no trace of it has been discovered in Greek literature, and the earliest mention of it is from the time of Hermannus Contractus (1013–1054).
The name, which appears in a variety of forms, points to a Greek origin, the more so because Greek was little known at the time when the game first appeared in literature. Based upon the Greek theory of numbers, and having a Greek name, it is still speculated by some that the game originated in Greek civilization, perhaps in the later schools of Byzantium or Alexandria.
The first written evidence of Rithmomachia dates to around 1030, when a monk named Asilo created a game that illustrated the number theory of Boëthius' De institutione arithmetica, for the students of monastery schools. The rules of the game were improved shortly thereafter by another monk, Hermannus Contractus from Reichenau, and in the school of Liège. In the following centuries, Rithmomachia spread quickly through schools and monasteries in the southern parts of Germany and France. It was used mainly as a teaching aid, but gradually intellectuals started to play it for pleasure. In the 13th century Rithmomachia came to England, where famous mathematician Thomas Bradwardine wrote a text about it. Even Roger Bacon recommended Rithmomachia to his students, while Sir Thomas More let the inhabitants of the fictitious Utopia play it for recreation.
The game was well enough known as to justify printed treatises in Latin, French, Italian, and German, in the sixteenth century, and to have public advertisements of the sale of the board and pieces under the shadow of the old Sorbonne.
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XIANGQI
Xiangqi (Chinese: 象棋; pinyin: xiàngqí; Wade–Giles: Hsiang ch'i; English: /ˈʃɑːŋtʃi/), also called Chinese chess or Elephant chess, is a strategy boa...
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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