Randon sequential packing fraction in square cellular structures

Abstract

Hitherto the problem of random sequential packing has been treated in continuum space. In a previous paper we introduced random sequential packing into the square cellular structure, where squares with integer length are inserted at random without any overlap into the cells of a square substrate divided into square unit cells. To the packing we applied two methods A and B, which were not distinguished in the packing of continuum space. In A, contact between the packed squares is permitted, and in B such contact is forbidden. In the previous paper we independently obtained the packing fractions of A and B, and did not notice the relation between them. Here, however, we make clear the relation between the packing fractions of A and B and continuum space.