Periodicity and other structure in a colorful family of Nim-like arrays
type: Item
instance of: scholarly article
title: Periodicity and other structure in a colorful family of Nim-like arrays
zbMATH Open document ID: 1200.91055
author: Lowell Abrams
author: Dena S. Cowen Morton
published in: The Electronic Journal of Combinatorics
publication date: 2010-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/231113
full work available at URL: v17i1r103.html
review text: 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.
Mathematics Subject Classification ID: 91A46
zbMATH DE Number: 5769518
zbMATH Keywords: Nim
zbMATH Keywords: Sprague-Grundy
zbMATH Keywords: periodicity
zbMATH Keywords: sequential compound
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 5769518