Geodesic
Periodicity and other structure in a colorful family of Nim-like arrays
The electronic journal of combinatorics, Tome 17 (2010)
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We study aspects of the combinatorial and graphical structure shared by a certain family of recursively generated arrays related to the operation of Nim-addition. In particular, these arrays display periodic behavior along rows and diagonals. We explain how various features of computer-generated graphics depicting these arrays are reflections of the theorems we prove.
DOI : 10.37236/375
Classification : 91A46
Mots-clés : Nim, Sprague-Grundy, periodicity, sequential compound 
@article{10_37236_375,
     author = {Lowell Abrams and Dena S. Cowen-Morton},
     title = {Periodicity and other structure in a colorful family of {Nim-like} arrays},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/375},
     zbl = {1200.91055},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/375/}
}
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%A Dena S. Cowen-Morton
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Lowell Abrams; Dena S. Cowen-Morton. Periodicity and other structure in a colorful family of Nim-like arrays. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/375

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