CHATURANGA VS RITHMOMACHY

Chaturanga (Sanskrit: चतुरङ्ग; caturaṅga), or catur for short, which means 'Four Divisions' (referring to ancient army divisions of infantry Pawn (chess), cavalry Knight (chess), elephantry Alfil (chess), and chariotry Rook (chess)), is an ancient Indian strategy game that is commonly theorized to be the common ancestor of the board games chess, xiangqi, shogi, sittuyin, and makruk. Chaturanga is first known from the Gupta Empire in India around the 6th century AD. In the 7th century, it was adopted as chatrang (shatranj) in Sassanid Persia, which in turn was the form of chess brought to late-medieval Europe. According to Stewart Culin, chaturanga was first described in the Hindu text Bhavishya Purana. The exact rules of chaturanga are unknown. Chess historians suppose that the game had similar rules to those of its successor, shatranj. In particular, there is uncertainty as to the moves of the Gaja (elephant). The origin of chaturanga has been a puzzle for centuries. It has its origins in the Gupta Empire, with the earliest clear reference dating from the sixth century of the common era, and from north India. The first substantial argument that chaturanga is much older than this is the fact that the chariot is the most powerful piece on the board, although chariots appear to have been obsolete in warfare for at least five or six centuries. The counter-argument is that they remained prominent in literature. Several more recent scholars have proposed a gradual evolution in the centuries B.C. in the northern or northwestern border areas of Indian culture, where it was in contact with Greek culture brought by the Macedonian-Greek army, and where some rulers issued coins with fused Greek-Indian imagery. Myron Samsin argues that chaturanga originated in the kingdom of Bactria, ca. 255–55 B.C., in a fusion of the many short-moving men of the Greek game petteia, or poleis, with men derived from the various moves of an Indian race game, perhaps Seega or Chaupur, on the ashtapada, the board of another race game.

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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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