Notes on Test Match Investigation

One Square Grid

On this grid the second player always wins

There is only one possible opening move

First Player Second Player wins

2 Square Grid

Thee are 4 possible Starting Plays for the first player

Starting Play 1

The First player now has several options.

Whatever the first player does the second player can win.

For example

Or

or

Or

Starting Play (2)

If the second player puts the match as shown

then the position is the same as above which second player wins.

Starting Play (3)

Leaving one square which we know the second player wins.

Starting Play (4)

Leaving two possible places to play so second player wins again.

So against all opening plays the second player should win.

Triangle Grid

There are three Starting Plays.

Each can be countered by the second player. The second player should always win.

Starting Play 1

Starting Play 2

Starting Play 3