Hare games
traditional European
hunt games

1.
Hare game (medium)
This is a traditional form of hunt game that almost uniformly
uses three pieces versus one. The three yellow pieces cannot move in the
backward directions (northwards). They must try to stalemate the red piece.
Neither side can capture. Red (the hare) must try to get behind the yellow dogs.
Note that the hare party loses if position is repeated three times. Win is
achieved when the hare reaches the apex, or before.
Hare games were common in northern Europe, but are today almost
forgotten.
The
names of the pieces vary (it's not always dogs against a hare). In
The variants in fig. 1,
2 and 3 function finely and are tricky games. Diagrams 1 and 3 derive from
Berlekamp, et al, 1982, but rules are here somewhat improved. But many
historical game diagrams seem defunct. Possibly it had the character of ritual,
or came to be regarded as a children's game, so it didn't matter. The hare is
either dropped onto the board in the first move, or is positioned already.
Dropping the hare increases variability, and is perhaps preferable if the board
pattern so allows.
2.
The Soldiers's game, or small Hare game.
In this variant
the dogs are placed on
the upmost squares, but the hare is
dropped on any empty square in the
first move
3.
A large Hare game that functions finely.
4.
The "Game of Dwarfs" or "Catch the Giant",
using a
simplified board (after Schuh, 1968).
In order for this to work, I place
the hare
between the dogs, with the dogs to move.
5. A board from Riga, Latvia (ca 1300).
But it
doesn't seem to work. Either it's
trivial or the hare wins (and it can't
be
a merels board.)
6.
A board from Fyn, Denmark.
But I'm unable to make it work properly.
Strategy
Unlike in many
other hunt games it's also challenging to play the hare. The move decision in
any position is often critical. If one of the yellow pieces without gain ends up
to the south of the red piece, then red technically wins. Yellow can always
win. In the winning position the hares are positioned on a line inside the last
diamond, with the hare in front. Try to achieve this position in the other
diamonds, too, when it's the hare's turn to move. Also, try to achieve a
V-shape inside a diamond, with the hare inside the V, and when it's his turn.
Hare games are exacting. The choice of move already early in the game can often
determine whether you will win or lose.
Key position
This position, and its
mirror, is critical, regardless where it occurs. The dogs (white) move south
here. If it's the hare's turn, then he loses. If it's the dogs to move, then the
dog party loses. This is true also if the hare is positioned before the V. The
party who moves loses (analysis by me).
References
Berlekamp,
E.R. Conway J.H. Guy. R.K. (1982). Winning Ways for your Mathematical
Plays, VO.II, London/New York.
Caune, A. (1993). 'Funde
hochmittelalterlicher Mühle-spielbretter aus der Rigaer Altstadt'. Archäologie
des Mittelalters und Bauforschung im Hanseraum. Rostock: Konrad Reich Verlag.
Michaelsen,
P. (1998). 'Somme trak også tavl'. Ord og Sag 18, 1998.
Gardner,
M. article in Scientific American, oct. 1963, p.124-130.
Glonnegger,
E. (1988). Das Spiele-Buch. Ravensburg.
Schuh, F. (1968).
The Master Book of Mathematical Recreations.
A thanks to Peter
Michaelsen who has collected this material, and been helpful in providing
information not referenced in the above works.
You
can download my free Hare games program
here (updated 2010-03-03),
but you must own the software
Zillions of Games to be able to
run it (I recommend the download version). |
© Mats Winther (May 2008).