Packing of ellipses with continuously distributed area

✍ Scribed by L. Fejes Tóth

• Book ID: 103055975
• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 272 KB
• Volume: 60
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(86)90018-x

✦ Synopsis

In this paper we give an upper bound for the density of a packing of ellipses of given areas. Special attention is due to the case when the area of the ellipses is continuously distributed.

Let the ellipses el, . . . , of areas x1, . . . , xN be into a polygon P of area A with at most six sides. Let i=l be the density of the packing. Referring to [l] ( see also [2]) we construct to each ci a polygon Pi of area Ai and number of sides pi SO that ei c Pi, LJE"=, Pi c P, and & -== 6N.