ON RANDOM SEQUENTIAL PACKING IN THE PLANE AND A CONJECTURE OF PALASTI.
STANFORD UNIV CALIF DEPT OF STATISTICS
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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
- Statistics and Probability