ArticleslgStudy

science

Three men's morris

Three men's morris is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Three men's morris rather than just read about it. In short: Three men's morris is an abstract strategy game played on a three by three board (counting lines) that is similar to tic-tac-toe. It is also related to six men's morris and nine men's morris.

Three men's morris — main illustration
Three men's morris — illustration

Key takeaways

  • Three men's morris belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Three men's morris to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Three men's morris from memory before moving on to harder problems.

Reference excerpt

Three men's morris is an abstract strategy game played on a three by three board (counting lines) that is similar to tic-tac-toe. It is also related to six men's morris and nine men's morris. A player wins by forming a mill, that is, three of their own pieces in a row.

Rules

Each player has three pieces. The winner is the first player to align their three pieces on a line drawn on the board. There are 3 horizontal lines, 3 vertical lines and 2 diagonal lines. The board is empty to begin the game, and players take turns placing their pieces on empty intersections. Once all pieces are placed (assuming there is no winner by then), play proceeds with each player moving one of their pieces per turn. A piece may move to any vacant point on the board, not just an adjacent one. According to H. J. R. Murray’s A History of Chess, there is an alternative version in which pieces may not move to any vacant point, but only to any adjacent linked empty position, i.e. from a corner to the middle of an adjacent edge, from the middle of an edge to the center or an adjacent corner, or from the center to the middle of an edge. Murray calls the first version "nine holes" and the second version "three men's morris" or "the smaller merels". In this variant of the game, there is a winning strategy for the player who goes first, unless the first player is not allowed to place the first piece in the centre, in which case neither player has a winning strategy.

History 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. However, Friedrich Berger wrote that some of the diagrams at Kurna include Coptic crosses, making it "doubtful" that the diagrams date to 1400 BCE. Berger concluded, "certainly they cannot be dated." When played on this board, the game is called tapatan in the Philippines and luk tsut k'i ('six man chess') in China. It is thought that luk tsut k'i was played during the time of Confucius, c. 500 BCE. Centuries later, the game was mentioned in Ovid's Ars Amatoria, according to R. C. Bell. In book III (c. 8 CE), after discussing latrones, a popular board game, Ovid wrote:[1]

Est genus, in totidem tenui ratione redactum Scriptula, quot menses lubricus annus habet: Parva tabella capit ternos utrimque lapillos, In qua vicisse est continuasse suos. Mille facesse iocos; turpe est nescire puellam Ludere: ludendo saepe paratur amor.

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 girl not to know how to play, for love often comes into being during play. Boards were carved into the cloister seats at the English cathedrals at Canterbury, Gloucester, Norwich, Salisbury and Westminster Abbey; the game was quite popular in England in the 13th century. 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. The name of the game may be related to Morris dances (and hence to Moorish). However, 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."

Related games Six men's morris and nine men's morris use six and nine pieces, respectively, and are played on different boards. In tic-tac-toe, pieces are placed (or marks are made) until the board is full; if neither player has an orthogonal or diagonal line at this point, the game is a draw. Extended tic-tac-toe, like the three men's morris game, each player has three pieces, but when moving pieces, players must first move their first pieces, then the second pieces, then the third pieces, then the first pieces, and so on. This game is harder than both tic-tac-toe and three men's morris, but the first player has a way to win by taking the edge first. Alternatively, by taking the center or corner first, the game will be drawn. Tapatan, from the Philippines, the same game with additional rule that pieces can only move to adjacent spaces. Marelle, from France, the same game with additional rule that pieces can only move to adjacent spaces and the center space (central intersection point) cannot be used until after each player drops their first piece. Tant Fant, from India, the same game with additional rule that pieces can only move to adjacent spaces and the pieces are already dropped before the game is started. Achi, from Ghana, the same game with additional rule that pieces can only move to adjacent spaces, and each player has four (instead of three) pieces. Picaria, a Native American variation invented in New Mexico, adds diagonal attachments to the central edge points, yielding four additional interior points each located between the center and corner points, may have 9 or 13 spaces, the center space (central intersection point) cannot be used until after each player drops their first piece (a variant is the center space cannot be used after all pieces are dropped). Rota is an allegedly Roman-era variation of this game played on a circular board, codified in an article published in 1916 by Latin scholar Elmer Truesdell Merrill. See also Shisima, a Kenyan variant.

References

External links Play Three Men's Morris online with another person as real-time browser game

Further reading Murray, H. J. R. (1952). A History of Board Games other than Chess. Oxford University Press.

Worked examples

Example 1 — a first encounter with Three men's morris

Start with the simplest possible case. Write down what Three men's morris claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Three men's morris before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Three men's morris ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Three men's morris

In research
Three men's morris appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Three men's morris in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Three men's morris is common in secondary-school and first-year university syllabi. It links to neighbouring topics Morris games, Solved games, so understanding it makes those chapters shorter.
In everyday life
Look for Three men's morris outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Three men's morris” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Three men's morris in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Three men's morris means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Three men's morris out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Three men's morris in simple terms?

Three men's morris is an abstract strategy game played on a three by three board (counting lines) that is similar to tic-tac-toe. It is also related to six men's morris and nine men's morris.

Why does Three men's morris matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Three men's morris?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Three men's morris.

Tags

  • Morris games
  • Solved games

Keep exploring