On Packing Unequal Squares
โ Scribed by Karen Ball
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 196 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
โฆ Synopsis
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 1รn, n=2, 3, 4, ... can be packed. The question of whether a packing with an arbitrarily small excess area is possible remains unanswered.
๐ SIMILAR VOLUMES
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.