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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SÁHKKU
Sáhkku is a board game of the Sami people. The game is traditional among the North Sámi, Skolt Sámi, Inari Sámi and Lule Sámi but may also have been p...
Sáhkku is a board game of the Sami people. The game is traditional among the North Sámi, Skolt Sámi, Inari Sámi and Lule Sámi but may also have been played in other parts of Sápmi.
Sáhkku is a running-fight game, which means that players move their pieces along a track with the goal of eliminating the other players' pieces. Many different variants of sáhkku have been played in different parts of Sápmi. The oral transfer of the sáhkku rules between generations was largely broken off during the 1900s (see Sáhkku today). A few of the local variants have survived into our time, other local variants have been reconstructed based on a combination of memories and written sources, and for some places only fragments of the local rules are known from old documents.
A sáhkku board (sáhkkufiellu, bircunfiellu or sáhkkulávdi) can traditionally be designed in a number of different ways. At its simplest, a sáhkku board has three parallel rows of short lines, and the pieces are placed on these lines. The lines are called sárgat (one sárggis) in Sámi.
It is common to draw the short lines as vertically connected to each other, so that the board appears to consist of just one row of very long lines, but the game is still played as if these were three separate rows of short lines. Such boards often also have three horizontal lines intersecting the vertical lines in order to illustrate that the lines are still in practice divided into three parallel rows. Some boards feature only a central horizontal line crossing the connected vertical lines, but the game is still played as if there were three rows of short lines.
A special type of sáhkku board is the so-called Návuotna board which has three rows of squares (ruvttat, lanjat) instead of lines.
The central line/square of the middle row, sometimes referred to as "the Castle", is indicated by a sáhkku-symbol ("X"), sun symbol, or other ornament.
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