Box-Counting Dimension

Practice Problem 4 Answer

Plotting these points, we see they lie on a straight line of slope about 1.63.

(Log(1/r0),Log(N(r0))) = (0,0)
(Log(1/r1),Log(N(r1))) = (.477, .778)
(Log(1/r2),Log(N(r2))) = (.954, 1.556)
(Log(1/r3),Log(N(r3))) = (1.431, 2.334)
(Log(1/r4),Log(N(r4))) = (1.908, 3.113)
(Log(1/r5),Log(N(r5))) = (2.386, 3.891)
   

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