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Can I read Perfect Square Packings on EtoBox?
Perfect Square Packings by Adam Chalcraft is a Mathematics article available to read on EtoBox.
What is Perfect Square Packings about?
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 there is a perfect packing of the squares of side n &35 into a square. The technique can be used to prove that there is a perfect packing of the squares of side n &t into a square, where 12<t 35, provided a certain algorithm succeeds for that value of t. It has succeeded for every such value of t that the author has tried. We also show that there is a perfect packing for all t in the range 0.5964 t 0.6.
Who reads Perfect Square Packings?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Adam Chalcraft
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)
- Published
- 2000
- Language
- EN
- Field
- Mathematics (Physical Sciences)