his one is the best of all, for reasons
I will explain.

[Illustration:

+---+---+---+---+---+---+---+---+
| | | | | | | | |
| ............................. |
| . | | | | | | | . |
+-.-+---+---+---+---+---+---+-.-+
| . | | | | | | | . |
| . | ..........................|
| . | .| | | | | | . |
+-.-+---.---+---+---+---+---+..-+
| . | |. | | | | . . |
| . | ................. | .| . |
| . | .| .| | |. | . | . |
+-.-+---.---.---+---.---+.--+-.-+
| . | |. |. | .| . | . |
| . | . | . | . | . | .| . | . |
| . | ..| .| .|. | . |.. | . |
+-.-+-.-.---.---.---+.--.-.-+-.-+
| . | . |. |. .|. . .| . | . |
| . | . | . | . | ..| . | . | . |
| . | . | .|. .| ..|. | . | . |
+-.-+-.-+---.---..--.---+-.-+-.-+
| . | . | .|. .. .|. | . | . |
| . | . | . | ..| . | . | . | . |
| . | . |. | ..|. .| .| . | . |
+-.-+-.-.---+.--.---.---.-.-+-.-+
| . | ..| . .|. |. |.. | . |
| . | . | .| . | . | . | . | . |
| . |.. | . |. | .| .| ..| . |
+-.-.-.-+.--.---+---.---.-.-.-.-+
| ..| . . .| | |. |.. |.. |
| . | ..| ............. | . | . |
| | . | | | | | | |
+---+---+---+---+---+---+---+---+

]

If you will look at the lettered square you will understand that there
are only ten really differently placed squares on a chessboard--those
enclosed by a dark line--all the others are mere reversals or
reflections. For example, every A is a corner square, and every J a
central square. Consequently, as the solution shown has a turning-point
at the enclosed D square, we can obtain a solution starting from and
ending at any square marked D--by just turning the board about. Now,
this scheme will give you a tour starting from any A, B, C, D, E, F, or
H, while no other route that I know can be adapted to more than five
different starting-points. There is no Queen's Tour in fourteen moves
(remember a tour must be re-entrant) that may start from a G, I, or J.
But we can have a non-re-entrant path over the whole board in fourteen
moves, starting from any given square. Hence the following puzzle:--

[Illustration:

+---+---+---+---*---+---+---+---+
| A | B | C | G " G | C | B | A |
*===*---+---+---*---+---+---+---+
| B " D | E | H " H | E | D | B |
+---*===*---+---*---+---+---+---