Evaluation and simulation of random sequential packing density for a small square

Abstract

Random sequential packing in a small square is investigated. The packing density is evaluated and compared with the simulation. The results are significantly different from the square of the one-dimensional packing density. This reinforces simulation results for relatively large sizes, which indicate that Palasti's conjecture is false for R².

Keywords:

• Random sequential packing
• Monte-Carlo simulation
• Palasti conjecture

^∗Current address: Computer Science Department, University of Montana, Missoula, MT 59812. USA.

^∗Current address: Computer Science Department, University of Montana, Missoula, MT 59812. USA.

Notes

^∗Current address: Computer Science Department, University of Montana, Missoula, MT 59812. USA.