On the classification of random two-dimensional cellular structures

The correlation of lengths and angles in random cellular crack patterns, produced by thermal shock in commercial ceramic materials used to make tableware, is determined. The straight line describing this correlation has a slope one half of that describing the cooling-induced crack networks formed in lava flows. In order to compare the polygonal crack structures formed at slow and extremely fast cooling rates with other random cellular structures, the correlation of lengths and angles for some known cellular patterns in epidermal vegetable tissues, magnetic garnet films and soap froths are presented. It is shown that this correlation can be used to classify two-dimensional random cellular structures.