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Sowing (game)

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Sowing → German, Polish.


Sowing
Inventor: John Horton
Conway, 1994
Ranks: One
Sowing: Single laps
Region: USA

Sowing was invented by the English mathematician John Horton Conway who described the game in 1994 at an international workshop on combinatorial game theory hosted by the Mathematical Sciences Research Institute (MSRI) in Berkeley, California. The game is a single-lap, one rank mancala game.

Jeff Erickson suggested in 1996 to reverse the rules and called this game Reaping. Other variants are Partisan Sowing and Two-dimensional Sowing.

Sowingini
Initial
Position
(Suggested)

Rules

Any board size and number of seeds can be used. A 1x24 board with three seeds initially in each pot might be a good size if played by humans.

Left plays from left to right, while Right plays from right to left.

The contents of a pot can only be distributed, if there are enough pots for each seed in the direction of play and if the last seed goes into a non-empty pot.

The last player who is able to make a legal move wins.

Variant

The first player who has no legal move wins ("Misère Sowing").

Strategy

The players try to create board positions which permits them to move while their opponent cant. The player with the larger reserve of moves will eventually win the game.

References

Erickson, J. 
Sowing Games. In: Nowakowski, R. J. (Ed.). Games of No Chance (Mathematical Sciences Research Institute Publications 29). Cambridge University Press, Cambridge (England) 1996, 287-297.
Guy, R. K. 
Unsolved Problems in Combinatorial Games. In: Nowakowski, R. J. (Ed.). Games of No Chance (Mathematical Sciences Research Institute Publications 29). Cambridge University Press, Cambridge (England) 1996, 486.

External Links

Coyright

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By: Ralf Gering
Under the CC by-sa 2.5 license.

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