ON RANDOM SEQUENTIAL PACKING IN THE PLANE AND A CONJECTURE OF PALASTI.

Abstract

A conjecture by Palasti on mean values for random packing is explored. After thorough experimental examination and with several theoretical results as anchor points, the conjecture is demonstrated to be incorrect. The mean packing density in two dimension is a little higher than the square of the mean density in one dimension. The conjecture for higher dimensions remains an open question but some work is presented to provide clues. Other issues arise in random packing of points on a lattice and these are developed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 19, 1969
Accession Number
AD0697283

Entities

People

  • B. Edwin Blaisdell
  • Herbert Solomon

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Packing Density

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design