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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SUGOROKU
Sugoroku (雙六 or 双六) (literally 'double six') refers to two different forms of a Japanese board game: ban-sugoroku (盤双六, 'board-sugoroku') which...
Sugoroku (雙六 or 双六) (literally 'double six') refers to two different forms of a Japanese board game: ban-sugoroku (盤双六, 'board-sugoroku') which is similar to western backgammon, and e-sugoroku (絵双六, 'picture-sugoroku') which is similar to western Snakes and Ladders.
The game is thought to have been introduced from China (where it was known as Shuanglu) into Japan in the sixth century.
It is known that in the centuries following the game's introduction into Japan it was made illegal several times, most prominently in 689 and 754. This is because the simple and luck-based nature of sugoroku made it an ideal gambling game. This version of sugoroku and records of playing for gambling continuously appeared until early Edo era. In early Edo-era, a new and quick gambling game called Chō-han (丁半) appeared and using sugoroku for gambling quickly dwindled.
This variant of the backgammon family has died out in Japan and most other countries, with the Western style modern backgammon (with doubling-cube) having some avid players.
A simpler e-sugoroku, with rules similar to snakes and ladders, appeared as early as late 13th century and was made popular due to the cheap and elaborate wooden block printing technology of the Edo period. Thousands of variations of boards were made with pictures and themes from religion, political, actors, and even adult material. In the Meiji and later periods, this variation of the game remained popular and was often included in child-oriented magazines. With ban-sugoroku being obsolete, today the word sugoroku almost always means e-sugoroku.
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