The annexed diagram shows a second way of performing the Queen's Tour.
If you break the line at the point J and erase the shorter portion of
that line, you will have the required path solution for any J square. If
you break the line at I, you will have a non-re-entrant solution
starting from any I square. And if you break the line at G, you will
have a solution for any G square. The Queen's Tour previously given may
be similarly broken at three different places, but I seized the
opportunity of exhibiting a second tour.
329.--THE STAR PUZZLE.
The illustration explains itself. The stars are all struck out in
fourteen straight strokes, starting and ending at a white star.
[Illustration]
330.--THE YACHT RACE.
The diagram explains itself. The numbers will show the direction of the
lines in their proper order, and it will be seen that the seventh course
ends at the flag-buoy, as stipulated.
[Illustration]
331.--THE SCIENTIFIC SKATER.
In this case we go beyond the boundary of the square. Apart from that,
the moves are all queen moves. There are three or four ways in which it
can be done.
Here is one way of performing the feat:--
[Illustration]
It will be seen that the skater strikes out all the stars in one
continuous journey of fourteen straight lines, returning to the point
from which he started. To follow the skater's course in the diagram it
is necessary always to go as far as we can in a straight line before
turning.
332.--THE FORTY-NINE STARS.
The illustration shows how all the stars may be struck out in twelve
straight strokes, beginning and ending at a black star.
[Illustration]
333.--THE QUEEN'S JOURNEY.
The correct solution to this puzzle is shown in the diagram by the dark
line. The five moves indicated will take the queen the greatest distance
that it is possible for her to go in five moves, within the conditions.
The dotted line shows the route that most people suggest, but it is not
quite so long as the other. Let us assume that the distance from the
centre of any square to the centre of the next in the same horizontal or
vertical line is 2 inches, and that the queen travels from the centre of
her original square to the centre of the one at which she rests. Then
the first route will be found to exceed 67.9 inches, while the dotted
route is less than 67.8 inches. The difference is small, but it is
sufficient to settle the point as to the longer route. All other routes
are shorter still than these two.
[Illustration]
334.--ST. GEORGE AND THE DRAGON.
We select for the solution of this puzzle one of the prettiest designs
that can be formed by representing the moves of the knight by lines from
square to square. The chequering of the squares is omitted to give
greater clearness. St. George thus slays the Dragon in strict accordance
with the conditions and in the elegant manner we should expect of him.
[Illustration: St. George and the Dragon.]
335.--FARMER LAWRENCE'S CORNFIELDS.
Public-domain text, read in full here on John Shaqi.
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