Mancala Matrices

Mancala Matrices

This paper introduces a new matrix tool for the sowing game Tchoukaillon, which establishes a relationship between board vectors and move vectors that does not depend on actually playing the game. This allows for simpler proofs than currently appear in the literature for two key theorems, as well as...

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Veröffentlicht in:The College mathematics journal 2013-09, Vol.44 (4), p.273-283
Hauptverfasser: Taalman, L, Tongen, A, Warren, B, Wyrick-Flax, F, Yoon, I
Format: Artikel
Sprache:eng
Schlagworte:
Applied mathematics
College Mathematics
Educational Games
Game theory
Mathematical Concepts
Mathematical theorems
Mathematical vectors
Mathematics Instruction
Matrices
Matrix
Proof theory
Sowing
Teaching Methods
Validity
Vector space
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Beschreibung
Zusammenfassung:This paper introduces a new matrix tool for the sowing game Tchoukaillon, which establishes a relationship between board vectors and move vectors that does not depend on actually playing the game. This allows for simpler proofs than currently appear in the literature for two key theorems, as well as a new method for constructing move vectors.We also explore extensions to Mancala, a popular two-player sowing game.
ISSN:0746-8342
1931-1346
DOI:10.4169/college.math.j.44.4.273