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Ars Combinatoria

  • Research article

A Cube-Packing Problem

Yonghui Fan1, Yuqin Zhang2, Guoyan Ye3
1College of Mathematics Hebei Normal University, 050016, Shijiazhuang, China
2Department of Mathematics Tianjin University, 300072, Tianjin, China
3Department of Mathematics ShijiaZhuang College, 050035, Shijiazhuang, China
  • Published: 30/04/2008

Abstract

In this paper, we discuss a problem on packing a unit cube with smaller cubes, which is a generalization of one of Erdős’ favorite problems: the square-packing problem. We first give the definition of the packing function \(f_3(n)\), then give the bounds for \(f_3(n)\).

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Citation
Yonghui Fan, Yuqin Zhang, Guoyan Ye. A Cube-Packing Problem[J], Ars Combinatoria, Volume 087. 353-358. .