Weigh out different amounts of dried peas. | ||
Wrap each amount in plastic wrap, in an approximately spherical shape and measure the diameters of the clusters. | ||
One experiment gave the results on the left. | ||
Plotting Log(mass) vs Log(diam), we see the points fall almost along a straight line of slope 3.0. | ||
This data supports a power law relation of the form | ||
mass = k⋅diam^{3} | ||
On the other hand, the peas pack tightly. Although there are spaces between the peas, the spaces are all about the same size. | ||
There is no hierarchy of structures that characterize fractals. | ||
Unlike crumpled paper, clusters of peas are not fractal. |