Abstract
SummaryTwo geometric models were devised for the shape of plant cells, one for those cells undergoing three‐dimensional expansion and the other for cells enlarging in one dimension (elongation). Probability distributions for the number and shape of wall facets were generated from the models and compared favourably with those found for real cells by other investigators. The i‐D growth model gave averages for the facet number and geometry of cells at interphase, division and daughter cell formation that closely approximated the averages from data collected by previous workers. These two types of developmental models, that is, ones following the quantitative relationships between cells over several generations, have two advantages over the standard interpretation of cell shape as the expression of packing forces. First, shape is explicitly explained from defined positions of cell plates during divisions. Second, subtle features of cell shape have morphogenetic importance in revealing the recent history of a cell with respect to its growth and its ontogenetic relationship to neighbouring cells.
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