Square Route Investigation Notes

Investigation 1

In all cases where the number of squares is even then the minimum number of matches equals the number of squares. If the number of squares is odd then then the number of matches is equal to the number of squares plus one.

Investigation 2

Width of Grid (n)	Number of matches (m)
2	4
3	8
4	16
5	24
6	36
7	48
8	64

If n s odd then m = n²

If n is even then m = n² - 1

The Square Route Puzzles given here are similar in structure to the classical problem of a rook visiting every square on the chessboard.