<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Picaria is a traditional board game, played by the Zuni tribe of the American Southwest and other parts of the world, such as a rural Southwest region in Sweden. It is related to the popular children’s game of Tic-tac-toe, but the 2 players have only 3 stones each, and in the second phase of the game, pieces are slided, along specified move edges, in attempts to create the three-in-a-row. We provide a rigorous solution, and prove that the game is a draw; moreover our solution gives insights to strategies that players can use.</p></abstract>

Picaria is a traditional board game, played by the Zuni tribe of the American Southwest and other parts of the world, such as a rural Southwest region in Sweden. It is related to the popular children’s game of Tic-tac-toe, but the 2 players have only 3 stones each, and in the second phase of the game, pieces are slided, along specified move edges, in attempts to create the three-in-a-row. We provide a rigorous solution, and prove that the game is a draw; moreover our solution gives insights to strategies that players can use.

Eternal Picaria

Recreational Mathematics Magazine

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Eternal Picaria"}

Picaria is a traditional board game, played by the Zuni tribe of the American Southwest and other parts of the world, such as a rural Southwest region in...

Eternal Picaria

Article Category: Games and Puzzles

Published Online: Jun 09, 2017

Page range: 119 - 133

DOI: https://doi.org/10.1515/rmm-2017-0016

Keywords
Abstract strategy game, Alignment game, Board game, Cyclic game, Loopy game, Luffarschack, Play-proof, Tapatan, Three-in-a-row, Three men’s morris, Zuni tribe

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Eternal Picaria

Article Category: Games and Puzzles

Published Online: Jun 09, 2017

Page range: 119 - 133

DOI: https://doi.org/10.1515/rmm-2017-0016

KeywordsAbstract strategy game, Alignment game, Board game, Cyclic game, Loopy game, Luffarschack, Play-proof, Tapatan, Three-in-a-row, Three men’s morris, Zuni tribe

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Abstract strategy game, Alignment game, Board game, Cyclic game, Loopy game, Luffarschack, Play-proof, Tapatan, Three-in-a-row, Three men’s morris, Zuni tribe