Reaping

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Reaping
© 1996, Jeff Erickson
USA
Published rules
Used in maths research
Variant of sowing (game)
Shared pits
One cycle
Reverse sowing
n holes per row
One row

Reaping, a one-rank mancala, was invented in 1996 by the American computer scientist Jeff Erickson. He is an Associate Professor of Computer Science and Willett Faculty Scholar University of Illinois at Urbana-Champaign. Other games he invented are Atomic wari, partisan sowing and two-dimensional sowing. Reaping was described in an Italian online game magazine in a special issue on mancala games in 2006.

The game features reverse sowing. Reaping is actually the reverse of the game of sowing!

Rules

Jeff didn't suggest a particular position to start a game. So you can experiment with any set-up you like.

Players are called Left and Right as usual in Combinatorial Game Theory.

board
Possible initial position


Left starts.

Each turn a player picks up one seed from each of a successive string of pots and drops them into the first available empty pot. The first pot must contain at least two seeds. This is called "reaping" and is the reverse of "sowing".

Left is reaping from left to right, while his opponent is playing into the opposite direction.

Passing is not permitted.

The last player who can make a legal move wins the game. Draws are not possible.

References

Erickson, J. 
(1996) 'Sowing Games', in Nowakowski, R. J. (Ed.) Games of No Chance, Cambridge: Mathematical Sciences Research Institute Publications 29, Cambridge University Press. Pages 287-297.

External links


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