Nano-wari

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Nano-wari
© 1977, Deledicq & Popova
France
Published rules
Used in maths research
One cycle
Single lap
1 holes per row
Two rows

Nano-wari was created by the Russian A. Popova and the French A. Deledicq in 1977 who called it a game of contemplation because it's a game without any choice, strategy or intelligence. The game, which is the smallest Mancala variant in existence, was completely analyzed in their mancala games book Wari et Solo.

Rules

board
Initial position

Nano-wari is played on a two-rank board with one hole per side. Initially there are four seeds in each hole.

A move consists of emptying your own hole and distributing its contents in a circular manner (clockwise or counterclockwise does not matter) into both holes of the board. The first seed must be dropped in the opponent's hole.

The move ends after a single lap.

No seeds can be captured.

The game ends when a board position is repeated.

There are no winners or losers.

Comments

The position repeats itself every two moves. The game is as follows (South starts):

board
Initial position
board
After odd number of moves
board
After even number of moves

Deledicq & Popova also proposed it with different numbers of seeds per hole at the beginning.

  • With 1 it is: 1/1 <-> 2/0
  • With 2 it is: 2/2 -> 3/1 <-> 1/3
  • With 3 it is: 3/3 -> 5/1 -> 2/4 <-> 4/2

References

Deledicq, A. & Popova, A.
(1977) Wari et Solo: Le Jeu de Calculs Africain (Collection "Les Distracts" 3), Paris: Cedic. Pages 177-179.


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