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Nine men's morris

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Nine men's morris
A game of nine men's morris in phase two. Even if it is Black's turn, White can remove a black piece each time a mill is formed by moving e3-d3 and then back again d3-e3.
Years active> 2000 years ago to present
Genres
Players2
Setup time< 1 minute
Playing time5–60 minutes
ChanceNone
Age range5+
SkillsStrategy
Synonyms
  • Nine-man morris
  • Mill, mills, or the mill game
  • Merels or merrills
  • Merelles, marelles, or morelles
  • Ninepenny marl
  • Cowboy checkers

Nine men's morris is a strategy board game for two players dating at least to the Roman Empire.[1] The game is also known as nine-man morris, mill, mills, the mill game, merels, merrills, merelles, marelles, morelles, and ninepenny marl[2] in English. In North America, the game has also been called cowboy checkers, and its board is sometimes printed on the back of checkerboards. Nine men's morris is a solved game, that is, a game whose optimal strategy has been calculated. It has been shown that with perfect play from both players, the game results in a draw.[3]

The Latin word merellus means 'gamepiece', which may have been corrupted in English to 'morris',[1] while miles is Latin for soldier.

Three main alternative variations of the game are three, six, and twelve men's morris.

Rules

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The board consists of a grid with twenty-four intersections, or points. Each player has nine pieces, or men, usually coloured black and white. Players try to form 'mills'—three of their own men lined horizontally or vertically—allowing a player to remove an opponent's man from the game. A player wins by reducing the opponent to two men (whereupon they can no longer form mills and thus are unable to win) or by leaving them without a legal move.

The game proceeds in three phases:

  1. Placing men on vacant points
  2. Moving men to adjacent points
  3. (optional phase) Moving men to any vacant point when the player has been reduced to three men

Phase 1: Placing pieces

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Nine men's morris starts on an empty board.

The game begins with an empty board. The players determine who plays first and then take turns. During the first phase, a player's turn consists of placing a man from the player's hand onto an empty point. If a player is able to place three pieces on contiguous points in a straight line, vertically or horizontally, they have formed a mill, which allows them to remove one of the opponent's pieces from the board. A piece in an opponent's mill, however, can be removed only if no other pieces are available. After all men have been placed, phase two begins.

Phase 2: Moving pieces

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Players continue to alternate moves, this time moving a man to an adjacent point each turn. A piece may not "jump" another piece. Players continue to try to form mills and remove the opponent's pieces as in phase one. If all a player's pieces get blocked in (where they are unable to move to an adjacent, empty space) that player loses. A player can "break" a mill by moving a piece out of an existing mill, then moving it back to form the same mill a second time (or any number of times), each time removing one of the opponent's men. The act of removing an opponent's man is sometimes called "pounding" the opponent. When one player has been reduced to three men, phase three begins.

Phase 3: "Flying"

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When a player is reduced to three pieces, there is no longer a limitation on that player of moving to only adjacent points: The player's men may "fly" (or "hop",[4][5] or "jump"[6]) from any point to any vacant point.

Some rules sources say this is the way the game is played,[5][6] some treat it as a variation,[4][7][8][9] and some do not mention it at all.[10] A 19th-century games manual calls this the "truly rustic mode of playing the game".[4] Flying was introduced to compensate when the weaker side is one man away from losing the game.

Strategy

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At the beginning of the game, it is more important to place pieces in versatile locations rather than to try to form mills immediately and make the mistake of concentrating one's pieces in one area of the board.[11] An ideal position, which typically results in a win, allows a player to shuttle one piece back and forth between two mills, removing a piece every turn.

Variants

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Three men's morris

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Main article: Three men's morris

Three men's morris, also called nine-holes, is played on the points of a grid of 2×2 squares, or in the squares of a grid of 3×3 squares, as in tic-tac-toe. The game is for two players; each player has three men. The players put one man on the board in each of their first three plays, winning if a mill is formed (as in tic-tac-toe). After that, each player moves one of the player's men, according to one of the following rules versions:

  1. To any empty position
  2. To any adjacent empty position

A player wins by forming a mill.[12]

H. J. R. Murray calls version No. 1 "nine holes", and version No. 2 "three men's morris" or "the smaller merels".

Six men's morris

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Six men's morris gives each player six pieces and is played without the outer square of the board for nine men's morris. Flying is not permitted.[13] The game was popular in Italy, France and England during the Middle Ages but was obsolete by 1600.[13]

This board is also used for five men's morris (also called smaller merels). Seven men's morris uses this board with a cross in the center.

Twelve men's morris

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Main article: Morabaraba

Twelve men's morris adds four diagonal lines to the board and gives each player twelve pieces. This means the board can be filled in the placement stage; if this happens the game is a draw. This variation on the game is popular amongst }

History

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Clay tile fragment from the archeological museum at Mycenae showing what appears to be a Nine Men's Morris board

According to R. C. Bell, the earliest known board for the game includes diagonal lines and was "cut into the roofing slabs of the temple at Kurna in Egypt"; he estimated a date for them of c. 1400 BCE.[13] Friedrich Berger wrote that some of the diagrams at Kurna include Coptic crosses, however, making it "doubtful" that the diagrams date to 1400 BCE. Berger concluded: "Certainly they cannot be dated."[1] However, these Coptic crosses themselves certainly are dated no earlier than 42CE according to Coptic Orthodox tradition, very near the end of the known architectural development of the temple.[14] On the other hand, the earliest known board for the game certainly can be dated before the Common Era,[15] as this article shall explain subsequently.

One of the earliest mentions of the game may be in Ovid's Ars Amatoria.[1][13] In book III (c. 8 CE), after discussing latrones, a popular board game, Ovid wrote:

There is another game divided into as many parts as there are months in the year. A table has three pieces on either side; the winner must get all the pieces in a straight line. It is a bad thing for a woman not to know how to play, for love often comes into being during play.

Berger believes the game was "probably well known by the Romans", as there are many boards on Roman buildings, even though dating them is impossible because the buildings "have been easily accessible" since they were built. It is possible that the Romans were introduced to the game via trade routes, but this cannot be proven.[1]

A 13th-century illustration in Libro de los juegos of the game being played with dice
An early gaming table (Germany, 1735) featuring chess/draughts (left) and nine men's morris (right), Cleveland Museum of Art

The game might have been played by the sculptors while they were building the huge temples. Inscriptions are seen in many places, carved on stone. The game peaked in popularity in medieval England.[4] A brick found on a mediaeval site near Wisbech, had been used by the brickmakers as a board before being fired.[16] Boards have been found carved into the cloister seats at the English cathedrals at Canterbury, Gloucester, Norwich, Salisbury and Westminster Abbey.[13] These boards used holes, not lines, to represent the nine spaces on the board—hence the name "nine holes"—and forming a diagonal row did not win the game.[17] Another board is carved into the base of a pillar in Chester Cathedral in Chester.[18] Giant outdoor boards were sometimes cut into village greens. In Shakespeare's 16th century work A Midsummer Night's Dream, Titania refers to such a board: "The nine men's morris is filled up with mud".[19]

Some authors say the game's origin is uncertain.[4] It has been speculated that its name may be related to Morris dances, and hence to Moorish, but according to Daniel King, "the word 'morris' has nothing to do with the old English dance of the same name. It comes from the Latin word merellus, which means a counter or gaming piece."[10] King also notes that the game was popular among Roman soldiers.

In some European countries, the design of the board was given special significance as a symbol of protection from evil.[1]

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  • Achi, from Ghana, is played on a three men's morris board with diagonals. Each player has four pieces, which can only move to adjacent spaces.[20]
  • Kensington is a similar game in which two players take turns placing pieces and try to arrange them in certain ways.
  • Luk ssut k'i ('six man chess') in Canton, China, also played as Tapatan in the Philippines, is equivalent to three men's morris played on a board with diagonals.[21]
  • Morabaraba, almost equivalent to twelve men's morris. However, rather than men, the counters are called "cows". It is played competitively internationally in competitions run by the International Wargames Federation.
  • Shax is played on the board of nine men's morris, but with somewhat different rules and with twelve pieces per player instead of nine.
  • Fangqi is played on a seven-by-seven grid. Players move pieces one point at a time along the grid, attempting to form four-by-four squares and removing one of the opponent's pieces after forming a square. It is played in Xinjiang and other parts of northwest China.
  • Tic-tac-toe uses a three-by-three board, on which players place pieces (or make marks) in turn until one player wins by forming an orthogonal or diagonal line, or until the board is full and the game is drawn (tied).

See also

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References

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  1. ^ a b c d e f Berger, Friedrich (2004). "From circle and square to the image of the world: a possible interpretation for some petroglyphs of merels boards" (PDF). Rock Art Research. 21 (1): 11–25. Archived from the original (PDF) on 2004-11-21. Retrieved 2007-01-12.
  2. ^ Hone, William (1826). The Every-Day Book. London: Hunt and Clarke. ASIN B0010SXPN0.
  3. ^ Gasser, Ralph (1996). "Solving Nine Men's Morris" (PDF). Games of No Chance. 29: 101–113. Archived (PDF) from the original on 2022-10-10. Retrieved 2015-06-01.
  4. ^ a b c d e Mohr, Merilyn Simonds (1997). The New Games Treasury. Houghton Mifflin. pp. 30–32. ISBN 978-1-57630-058-9.
  5. ^ a b Wood, Clement; Gloria Goddard (1940). The Complete Book of Games. Garden City, New York: Garden City Books. pp. 342–43.
  6. ^ a b Foster, R. F. (1946). Foster's Complete Hoyle: An Encyclopedia of Games. J. B. Lippincott Company. pp. 568–69.
  7. ^ Ainslie, Tom (2003). Ainslie's Complete Hoyle. Barnes & Noble Books. pp. 404–06. ISBN 978-0-7607-4159-7.
  8. ^ Morehead, Albert H.; Richard L. Frey; Geoffrey Mott-Smith (1956). The New Complete Hoyle. Garden City, New York: Garden City Books. pp. 647–649.
  9. ^ Grunfeld, Frederic V. (1975). Games of the World. Holt, Rinehart and Winston. pp. 59–61. ISBN 978-0-03-015261-0.
  10. ^ a b King, Daniel (2003). Games. Kingfisher plc. pp. 10–11. ISBN 978-0-7534-0816-2.
  11. ^ Vedar, Erwin A.; Wei Tu; Elmer Lee. "Nine Men's Morris". GamesCrafters. University of California, Berkeley. Retrieved 2006-12-31.
  12. ^ Murray, H. J. R. (1913). A History of Chess (Reissued ed.). Oxford University Press. p. 614. ISBN 978-0-19-827403-2.
  13. ^ a b c d e Bell, R. C. (1979). Board and Table Games from Many Civilizations. Vol. 1. New York: Dover Publications. pp. 90–92. ISBN 0-486-23855-5.
  14. ^ "Karnak Temple".
  15. ^ but R. C. Bell certainly could not have estimated the date so confidently unless he knew which "roofing slabs of the temple at Kurna in Egypt" the earliest known board for the game was cut into and the game already existed at the time that part of the temple was being built or that an earlier part of the temple had been defaced with the game board in that year
  16. ^ Monger, Garry (2020). "Games Old and New". The Fens. 20: 20–21.
  17. ^ "Nine Holes". Row Games. Elliott Avedon Museum and Archive of Games. 2005-09-12. Archived from the original on 2007-02-08. Retrieved 2007-01-09.
  18. ^ Hickey, Julia (2005). "The Hidden Treasures of Chester Cathedral". TimeTravel-Britain.com. Retrieved 2007-01-13.
  19. ^ A Midsummer Night's Dream, Act II, Scene I.
  20. ^ Bell, R. C. (1979). Board and Table Games from Many Civilizations, volume 2. New York City: Dover Publications. pp. 55–56. ISBN 0-486-23855-5.
  21. ^ Culin, Stewart (October–December 1900). "Philippine Games". American Anthropologist. New Series. 2 (4): 643–656. doi:10.1525/aa.1900.2.4.02a00040. JSTOR 659313.
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Variants

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