We’ll count the number of cells in a small box at the center of the pile, then see how the number of cells increases as the box gets bigger. The estimate for level 3 is indistinguishable from 2, but g...We’ll count the number of cells in a small box at the center of the pile, then see how the number of cells increases as the box gets bigger. The estimate for level 3 is indistinguishable from 2, but given the results for the other values, the apparent curvature of the line, and the appearance of the pattern, it seems likely that it is also fractal.
