Periodicity and other structure in a colorful family of Nim-like arrays (Q986709)
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scientific article; zbMATH DE number 5769518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodicity and other structure in a colorful family of Nim-like arrays |
scientific article; zbMATH DE number 5769518 |
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Periodicity and other structure in a colorful family of Nim-like arrays (English)
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12 August 2010
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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.
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Nim
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Sprague-Grundy
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periodicity
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sequential compound
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