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 |
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| container_end_page | 283 |
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| container_issue | 4 |
| container_start_page | 273 |
| container_title | The College mathematics journal |
| container_volume | 44 |
| creator | Taalman, L Tongen, A Warren, B Wyrick-Flax, F Yoon, I |
| description | 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. |
| doi_str_mv | 10.4169/college.math.j.44.4.273 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0746-8342 |
| ispartof | The College mathematics journal, 2013-09, Vol.44 (4), p.273-283 |
| issn | 0746-8342 1931-1346 |
| language | eng |
| recordid | cdi_proquest_journals_1438178192 |
| source | Jstor Complete Legacy; JSTOR Mathematics & Statistics |
| subjects | 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 |
| title | Mancala Matrices |
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