Gaming
 

Carolina Solitaire

From Mancala World

Carolina Solitaire
First Description: J. R.
Griggs & C.-C. Ho, 1998
Cycles: None
Ranks: One
Sowing: Reverse
Region: Bulgaria,
USA

In the late 1990s, Andrey Andreev, a Bulgarian visitor, introduced Carolina Solitaire to mathematicians of the University of South Carolina. This reverse sowing game appears to be a traditional mancala game in Bulgaria, but so far its native name is unknown in the west. Bulgarian Solitaire is a generalized version, which was invented by the famous mathematician Martin Gardner in 1983. It seems obvious that he knew the original game.

[edit] Rules

The game can be played with any number of (imagined) pits that are ordered in a row. Initially there are some seeds (or cards arranged in piles) in each pit, the exact number can be varied.

Image:Carolinasolitaire.jpg

Initial Position Discussed by Davalan

The game is played by just one player.

Each move the player takes one seed from every non-empty pit (empty pits are ignored) and puts them in a newly created pit at the end of the row, always in the same direction.

The game ends when the board position repeats.

[edit] References

Davalan, J.-P. 
Solitaire Bulgare. Concarneau (France) 2004.
Gardner, M. 
Mathematical Games (a.k.a Bulgarian Solitaire and Other Seemingly Endless Tasks). In: Scientific American 1983; 249: 12-21.
Griggs, J. R. & Ho, C.-C.
The Cycling of Partitions and Compositions under Repeated Shifts. In: Advances in Applied Mathematics 1998; 21: 205-227.

[edit] Copyright

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