Pencil and paper Games

3D Noughts and Crosses

Players take turns in marking squares on a 4 x 4 x 4 grid. The first player to get four squares in a row wins.

Description

One player first draws four 4 x 4 grids in a row, either horizontally or vertically. Imagine the four grids stacked into a 4 x 4 x 4 cube:

empty

One player is 'nought' and the other is 'cross'. Players take turns in drawing their symbol in one of the cells on the grids. The first player to make a line of four of their symbol in a straight line wins.

Winning lines can be horizontal (A), vertical (B), or diagonal (C) within one grid, vertical between grids (D), diagonal between grids (E), or diagonal in all three dimensions (F).

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Example

Here's a short game in which nought started, and won by making the line shown shaded:

game

History

Commercial versions of the game have been sold consisting of four perspex boards stacked in a cube, with black and white counters or marbles for making moves.

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