On Wrapping Spheres and Cubes with Rectangular Paper
Author(s)Cole, Alex; Demaine, Erik D.; Fox-Epstein, Eli
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Discrete and Computational Geometry and Graphs
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.
Author's final manuscript