In a discussion of the length of the coast of Britain Peitgen, Jurgens & Saupe s
ID: 283278 • Letter: I
Question
In a discussion of the length of the coast of Britain Peitgen, Jurgens & Saupe state that "the [divider dimension] characterizes the complexity of the coast of Britain over some range of scales by expressing how quickly length increases if we measure even finer accuracy. Eventually, such measurements do not make much sense anymore because we would run out of maps and would have to begin measuring the coast in reality and face all the problems of identifying where a coast begins and ends, when to measure (at low or high tide), how to deal with river deltas and so on. In other words the problem becomes ridiculous. But nevertheless, we can say that in any practical terms the coast of Britain has no length. The only meaningful thing we can say about its length is that it behaves as a power law over a range of scales to be specified and that this behaviour will be characteristic." Peitgen, Jurgens & Saupe Chaos & Fractals Springer Verlag 1992, p199 (emphasis added) Do you agree? Give your reasons why. By using circles as boxes, show that for a fractal coastline the box counting dimension and the divider dimension are equivalent.Explanation / Answer
2) yes I am agree with this statement that coastal region has not accurte length because sea level has continuously changed. becouse of tide, with a fall of tide coastal length will be increase and with a rise of tide coastal length will be decrease , so we can say that we can never measure the accurate length of coast. Every mode of measurement has a different parameters, this is also the reason of different lengths of coast with a different measurement method.