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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TABLUT
Tafl games (pronounced ], also known as hnefatafl games) are a family of ancient Nordic and Celtic strategy board games played on a checkered or latti...
Tafl games (pronounced ], also known as hnefatafl games) are a family of ancient Nordic and Celtic strategy board games played on a checkered or latticed gameboard with two armies of uneven numbers. Most probably they are based upon the Roman game Ludus latrunculorum. Names of different variants of Tafl include Hnefatafl, Tablut, Tawlbwrdd, Brandubh, Ard Rí, and Alea Evangelii. Games in the tafl family were played in Norway, Sweden, Denmark, Iceland, Britain, Ireland, and Lapland. Tafl gaming was eventually supplanted by chess in the 12th Century, but the tafl variant of the Sami people, tablut, was in play until at least the 1700s. The rules for tablut were written down by the Swedish naturalist Linnaeus in 1732, and these were translated from Latin to English in 1811. All modern tafl games are based on the 1811 translation, which had many errors. New rules were added to amend the issues resulting from these errors, leading to the creation of a modern family of tafl games. In addition, tablut is now also played in accordance with its original rules, which have been retranslated.
The term tafl (Old Norse: "table", "board"; pronounced ) is the original Norse name of the game. Hnefatafl (roughly) plausibly realised as ), became the preferred term for the game in Scandinavia by the end of the Viking Age, to distinguish it from other board games, such as Skáktafl (chess), Kvatrutafl (Tables) and Halatafl (Fox games), as these became known. The specific name Hnefatafl possibly arose as meaning "board game of the fist", from hnefi ("fist") + tafl, where "fist" referred to the central king-piece.
The precise etymology is not entirely certain but hnefi certainly referred to the king-piece, and several sources refer to Hnefatafl as "King's table". In Anglo-Saxon England, the term tæfl also referred to many board games. It is not known if the Anglo-Saxons had a specific name for the game or if they generically referred to it as tæfl in the way that modern people might refer to "cards".
Several games may be confused with tafl games, due to the inclusion of the word tafl in their names or other similarities. Halatafl is the Old Norse name for Fox and Geese, a game dating from at least the 14th century. It is still known and played in Europe. Kvatrutafl is the Old Norse name for Tables (the medieval forerunner of Backgammon). Skáktafl is the Old Norse name for chess. Fidchell or Fithcheall (Modern Irish: Ficheall) was played in Ireland. The Welsh equivalent was Gwyddbwyll and the Breton equivalent Gwezboell; all terms mean "wood-sense". This popular medieval game was played with equal forces on each side and thus was not a tafl variant, but rather may have been the medieval descendant of the Roman game Latrunculi or Ludus latrunculorum.
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