November 03, 2008


Here is a geometric version of the 144 game that I play with my daughter.

To play Chomp, draw a rectangle of integer dimensions on a piece of graph paper. A 3x5 rectangle works great.

Two players alternate drawing integer rectangles within this board.

Each rectangle played must have its lower-left corner sitting on the lower-left corner of the game board. You are allowed to overlap your rectangle with previously drawn rectangles (and since they all have the same corner, you inevitably will), but the upper-right corner of your rectangle may not sit within any previously drawn rectangle.

The player who is forced to cover the upper-right corner of the whole game board loses.

How is this the same as the 144 game?

Answer: play Chomp on the 3x5 board marked as follows.

  9 18 36 72144
  3  6 12 24 48
  1  2  4  8 16

Why does player one have the advantage on any board larger than one unit square?

Posted by David at November 3, 2008 07:05 PM
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