On Wrapping Spheres and Cubes with Rectangular Paper

Author(s)
Cole, Alex; Demaine, Erik D.; Fox-Epstein, Eli
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Abstract
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.
Date issued
2014
URI
http://hdl.handle.net/1721.1/99999
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Discrete and Computational Geometry and Graphs
Publisher
Springer-Verlag
Citation
Cole, Alex, Erik D. Demaine, and Eli Fox-Epstein. “On Wrapping Spheres and Cubes with Rectangular Paper.” Discrete and Computational Geometry and Graphs (2014): 31–43.
Version: Author's final manuscript
ISBN
978-3-319-13286-0
978-3-319-13287-7
ISSN
0302-9743
1611-3349
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