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A Frameless 2-Coloring of the Plane Lattice.

Authors :
Kaplan, Craig S.
Shallit, Jeffrey
Source :
Mathematics Magazine. Dec 2021, Vol. 94 Issue 5, p353-360. 8p.
Publication Year :
2021

Abstract

A picture frame in two dimensions is a rectangular array of symbols, with at least two rows and columns, where the first and last rows are identical, and the first and last columns are identical. If a coloring of the plane lattice has no picture frames, we call it frameless. In this note, we show how to create a simple 2-coloring of the plane lattice that is frameless. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*PICTURE frames & framing

Details

Language :
English
ISSN :
0025570X
Volume :
94
Issue :
5
Database :
Academic Search Index
Journal :
Mathematics Magazine
Publication Type :
Periodical
Accession number :
154256431
Full Text :
https://doi.org/10.1080/0025570X.2021.1983340