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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TAK
Tak is a two-player abstract strategy game designed by James Ernest and Patrick Rothfuss and published by Cheapass Games in 2016.
The goal of Tak i...
Tak is a two-player abstract strategy game designed by James Ernest and Patrick Rothfuss and published by Cheapass Games in 2016.
The goal of Tak is to be the first to connect two opposite edges of the board with pieces called "stones", and create a road. To accomplish this, players take turns placing their own stones and building a road while blocking and capturing their opponent's stones to hinder their efforts at the same. A player "captures" a stone by stacking one of their pieces on top of the opponent's. These stacks can then be moved as a whole or broken up and moved across several spaces on the board. The vertical stacking and unstacking of stones gives a three dimensional element to the game play.
A player may move a single piece or a stack of pieces they control. A stack is made when a player moves a stone on top of another flat stone of any color. The stone on top of a stack determines which player has control of that entire stack. All stones move orthogonally in a straight line on the board. There is no diagonal movement.
A player can also move a whole stack in addition to single stones. A stack can be moved like a single stone, moved in its entirety one space orthogonally (North, South, East, or West), or it can move several spaces orthogonally by breaking the stack and placing one or more flat stones onto the squares being moved onto. The player can leave any number of stones, including zero, on the starting space, but must place at least one piece for each subsequent move. There is no height limit for stacks, but the amount of stones a player can remove from the stack and move is set by the "carry limit" of the board. The carry limit of the board is determined by the dimensions of the board. For example, if the stack was on a 5x5 board, the carry limit of the stack would be five.
Because standing stones and capstones can't be stacked upon, there are no stacks with these pieces at the bottom or in the middle of the stack. Both of these stones however can be moved onto other flat stones to form a stack with them as the head. A capstone may "flatten" a standing stone and use it to form a stack with the capstone as its head, but it must do so alone. For example, a stack with a capstone cannot flatten a standing stone by moving as a stack onto the standing stone, but a stack can be used to move a capstone across the board so that the capstone alone moves to flatten the standing stone as the final movement.
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