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Known games

Cram — the last domino wins

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Players take turns shading a domino, two squares side by side, on a small grid. If you cannot place a domino on your turn, you lose.

From Cram, a pencil-and-paper game.

What it shows a designer

On boards with even sides the second player always wins by copying. It shows how symmetry can break a game, and how changing the board fixes it.

Credits

Made by
Traditional; popularised by Martin Gardner in Scientific American
This version
A 4 by 4 grid
Sources
en.wikipedia.org/wiki/Cram_(game)
www.byrdseed.com/math-game-cram/

What you need

  • paper
  • a pen each, in two colours if you have them

How to play

  1. Grid. Draw a grid of 4 by 4 squares. The usual size is 4 by 6; 4 by 4 makes a quicker game.
  2. Place a domino. Toss a coin to see who starts. On your turn, shade two empty squares next to each other, across or down.
  3. No overlaps. A domino may not cover a square already shaded or go off the grid.
  4. Last move. If you cannot place a domino on your turn, you lose.
  5. Again. Play a few times and notice when the grid splits into separate parts.

After playing, talk about

  • When could you count the moves left?
  • Did a move in the middle split the grid?
  • Did going second help?

Its blocks

Download it as a design (.md)

In boardgameBuilder, Open game puts its blocks on the canvas. Changed, the same file can come back here from Propose a game.

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