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Sprouts — the drawing that ends itself

not checked yet

Start with three dots. Each move joins two dots with a curve and adds a new dot on it. Lines may never cross, and no dot may have more than three lines. The drawing grows until nobody can move.

From Sprouts, a pencil-and-paper game by John Conway and Michael Paterson.

What it shows a designer

The board is drawn by the players, and the moves close the board in. It shows how a game can be made of its own map, and how a growing picture can carry the state of a game.

Credits

Made by
John Horton Conway and Michael S. Paterson, Cambridge, 1967
Sources
en.wikipedia.org/wiki/Sprouts_(game)
encyclopediaofmath.org/wiki/Sprouts

What you need

  • paper
  • a pen

How to play

  1. Start. Draw three dots, spread apart. Toss a coin to see who starts.
  2. A move. Draw a curve from one dot to another, or from a dot back to itself, then put a new dot somewhere on that curve.
  3. Limits. A curve may not cross itself, another curve or a dot. No dot may have more than three lines touching it; a loop counts as two, and a new dot starts with two.
  4. End. When a player has no legal move, the game is over. The last player to move wins.
  5. Again. Play a few games, and then try four starting dots.

After playing, talk about

  • When could you tell how many moves were left?
  • Did the shape of the drawing trap anyone?
  • How did the game change with four dots?

Its blocks

How its blocks were checked against BoardGameGeek
  • Sprouts: partly checkable, nothing against it. drawing the map: not checkable. indirect via board: not checkable. mostly skill: not checkable. full information: not checkable. abstract: not checkable. take turns: not checkable.
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