EquiDist - a new game

Boaz Tsaban

This game is based on van der Waerden's Theorem. I describe here the version which can be played with pen and paper. A fancier version uses a board and colored pieces. The game is for two players. Draw a board with 9 cells:

EquiDist's game board
Each player alternately puts a red or a green piece (or alternatively, writes X or O) in a vacant cell.

The first player who cannot put an X or an O without getting a list of three equidistant X's or three equidistant O's looses.

A sample game

Alice:

Bob:

Alice:

Bob:

Alice:

Bob:

Alice:

Bob looses.

Variations:

  1. For masters:
    1. A board with more than 9 cells.
    2. 3 colors (or letters) on a 27 cell board.
    3. 4 equidistant identical letters on 35 cells board.
  2. Any number of players. After one looses, the games restrarts with the surviving players.
  3. Each player is restricted to use only one color/letter.
  4. Etc.

(c) All rights reserved to Boaz Tsaban

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