On Wrapping Spheres and Cubes with Rectangular Paper
作者： Alex Cole , Erik D. Demaine , Eli Fox-Epstein
DOI: 10.1007/978-3-319-13287-7_4
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摘要: 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 consolidate previous results. Though these rarely match, our results significantly reduce gap.
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Erik D. Demaine, Joseph O'Rourke, Geometric Folding Algorithms: Linkages, Origami, Polyhedra ,(2007)
J. AKIYAMA, T. OOYA, Y. SEGAWA, Wrapping a Cube Teaching Mathematics and Its Applications. ,vol. 16, pp. 95- 100 ,(1997) , 10.1093/TEAMAT/16.3.95
P. W. Fowler, T. Tarnai, Transition from circle packing to covering on a sphere: the odd case of 13 circles Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 455, pp. 4131- 4143 ,(1999) , 10.1098/RSPA.1999.0494
Jin Akiyama, Koichi Hirata, Midori Kobayashi, Gisaku Nakamura, Convex developments of a regular tetrahedron Computational Geometry: Theory and Applications. ,vol. 34, pp. 2- 10 ,(2006) , 10.1016/J.COMGEO.2005.07.003
Erik D. Demaine, Martin L. Demaine, John Iacono, Stefan Langerman, Wrapping spheres with flat paper Computational Geometry. ,vol. 42, pp. 748- 757 ,(2009) , 10.1016/J.COMGEO.2008.10.006
Michael L. Catalano-Johnson, Daniel Loeb, John Beebee, A Cubical Gift: 10716 American Mathematical Monthly. ,vol. 108, pp. 81- 82 ,(2001) , 10.2307/2695694
Timothy G. Abbott, Zachary Abel, David Charlton, Erik D. Demaine, Martin L. Demaine, Scott Duke Kominers, Hinged Dissections Exist Discrete & Computational Geometry. ,vol. 47, pp. 150- 186 ,(2012) , 10.1007/S00454-010-9305-9
T. Tarnai, Zs. Gáspár, Covering a sphere by equal circles, and the rigidity of its graph Mathematical Proceedings of the Cambridge Philosophical Society. ,vol. 110, pp. 71- 89 ,(1991) , 10.1017/S0305004100070134
Erik D. Demaine, Martin L. Demaine, Joseph S.B. Mitchell, Folding flat silhouettes and wrapping polyhedral packages: new results in computational origami Computational Geometry: Theory and Applications. ,vol. 16, pp. 3- 21 ,(2000) , 10.1016/S0925-7721(99)00056-5
Erik D. Demaine, Joseph ORourke, Geometric Folding Algorithms by Erik D. Demaine Cambridge University Press. ,(2007) , 10.1017/CBO9780511735172