Hare games
traditional European
hunt games
1. Hare game (medium)
implemented by Mats Winther May 2008
See also my
homepage.
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 dog 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 because the
hare wins.
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
dogs 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
positionThis 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. The same is true when the hare is located 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.
To play you must have installed "Zillions of
Games". Either double-click on Hare_games.zrf or
1. Run "Zillions of Games"
2. Choose "Open Game Rules..." from the File menu
3. Select "Hare_games.zrf" in the Open dialog and click "Open"
Hare_games.zrf is a rules file used by the Windows program "Zillions
of Games". Zillions of Games allows you to play any number of games
against the computer or over the Internet. Zillions of Games can be purchased
online. For more information please visit the Zillions of Games website
www.zillions-of-games.com