Crumple pieces of paper of different sizes and measure the diameters of the paper balls. | ||
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 2.5. | ||
This data supports a power law relation of the form | ||
mass = k⋅diam^{2.5} | ||
Crumpling the paper introduces spaces of a range of sizes. There is a hierarchy of space sizes, a few large, many small. | ||
Consequently, a crumpled paper ball is a fractal. | ||
You have been manufacturing fractals as long as you've been crumpling paper and tossing it in the wastebasket. |