Abrams, Lowell; Cowen-Morton, Dena S. Periodicity and other structure in a colorful family of Nim-like arrays. (English) Zbl 1200.91055 Electron. J. Comb. 17, No. 1, Research Paper R103, 21 p. (2010). Summary: 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. Cited in 4 Documents MSC: 91A46 Combinatorial games Keywords:Nim; Sprague-Grundy; periodicity; sequential compound PDFBibTeX XMLCite \textit{L. Abrams} and \textit{D. S. Cowen-Morton}, Electron. J. Comb. 17, No. 1, Research Paper R103, 21 p. (2010; Zbl 1200.91055) Full Text: EuDML EMIS