The Role of Elastic Stresses on Leaf Venation Morphogenesis
Figure 4
Histograms of the average length of the vein segments of width w.
(A) Actual leaves. Each curve is the histogram of a given dycotiledon leaf: Gloeospermum sphaerocarpum (square symbols), Amphirrhox longifolia (full triangles), and Rinorca amapensis (open circles). Inset: the same quantity, but averaged over more than 1,200,000 segments of eight different leaves. Note that thicker veins tend to be slightly larger than thinner ones. (B) Numerical leaves. Histograms for three different realizations (size: 1024×1024). Inset: Histogram of 30,000 segments obtained in twelve realizations for η = 3.6 and three different sizes (512×512, 768×768, and 1024×1024).