Box-Counting Dimension

Practice Problem 1 Answer

Plotting these points, we see they lie on a straight line of slope about 1.46.
(Log(1/r0),Log(N(r0))) = (0, 0)
(Log(1/r1),Log(N(r1))) = (.477, .699)
(Log(1/r2),Log(N(r2))) = (.954, 1.398)
(Log(1/r3),Log(N(r3))) = (1.431, 2.097)
(Log(1/r4),Log(N(r4))) = (1,908, 2.796)
(Log(1/r5),Log(N(r5))) = (2.386, 3.495)
   

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