22.(a) N(1/4) = 2*4, N(1/42) = 4*16 = 22*42, ... , N(1/4n) = 2n*4n= (2*4)n.

(b) The box-counting dimension is log((2*4)n)/log(4n) = (log(2) + log(4))/log(4) = (log(2)/log(4)) + 1 = dimension of the Cantor set + dimension of the interval.

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