Packing squares into a square
β Scribed by Joseph Y-T. Leung; Tommy W. Tam; C.S. Wong; Gilbert H. Young; Francis Y.L. Chin
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 464 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0743-7315
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π SIMILAR VOLUMES
An interesting problem is to determine whether all the squares of side n &1 can be packed into a rectangle of the appropriate area. Such a packing (into a rectangle of the right area) is called perfect. In this paper, we define an algorithm based on an algorithm by Paulhus and use it to show that th
This paper improves the bound, due to D. Jennings [J. Combin. Theory Ser. A 68 (1994), 465 469], on the smallest rectangle into which all of the squares of side length 1Γn, n=2, 3, 4, ... can be packed. The question of whether a packing with an arbitrarily small excess area is possible remains unans
An algorithm is presented that can be used to pack sets of squares (or rectangles) into rectangles. The algorithm is applied to three open problems and will show how the best known results can be improved by a factor of at least 6\_10 6 in the first two problems and 2\_10 6 in the third.