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Title
Optimal rectangle packing for the 70 square
Authors
Brian Laverty, Thomas Murphy
Abstract
Gardner asked whether it was possible to tile/pack  the  squares 1×1,..., 24×24 in a 70×70 square. Arguments that it is impossible have been given by Bitner-Reingold and more recently by Korf-Mofitt-Pollack. Here we outline a simpler algorithm, which we hope could be used to give an alternative and more direct proof in the future. We also derive results of independent interest concerning such packings.
Keywords
packing problems, 70×70 square
Milestones
Published: 2018/09/27
Author Details
Brian Laverty
blaverty91@gmail.com
West Virginia University

Thomas Murphy
tmurphy@fullerton.edu
California State University Fullerton

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