On Wrapping Spheres and Cubes with Rectangular Paper

On Wrapping Spheres and Cubes with Rectangular Paper

What is the largest cube or sphere that a given rectangular piece of paper can wrap? This natural problem, which has plagued gift-wrappers everywhere, remains very much unsolved. Here we introduce new upper and lower bounds and consolidate previous results. Though these bounds rarely match, our resu...

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Bibliographic Details
Main Authors: Cole, Alex (Contributor), Demaine, Erik D. (Contributor), Fox-Epstein, Eli (Author)
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Springer-Verlag, 2015-11-23T16:30:15Z.
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Description
Summary:What is the largest cube or sphere that a given rectangular piece of paper can wrap? This natural problem, which has plagued gift-wrappers everywhere, remains very much unsolved. Here we introduce new upper and lower bounds and consolidate previous results. Though these bounds rarely match, our results significantly reduce the gap.

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