Quote: if measure at the correct fractal dimension, the length is independent of the measure (epsilon)

Quotation Skeleton

In addition, the fact that the length [1 dimensional measurement] of a square is infinite has a simple counterpart and … [length] evaluated in any [Euclidian] dimension d smaller than [its fractal dimension] D tends to .infinity. as .epsilon. .tends to. 0. Similarly, … value larger than D, the corresponding approximate measure … if and only if d=D.   Google-1   Google-2

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Topic: fractal geometry (8 items)