Coastlines
and Fractal Dimensions

nCoastlines are irregular, so a measure with a straight ruler only provides an estimate.

nThe ruler on the right is half that used on the left, but the estimate of L on the right is longer.

nIf we halved the scale again, we would get a
similar result, a
longer estimate of L.

nIn general, as the ruler gets diminishingly
small, the length gets
infinitely large.