All of the results in this section can be extended to Rn. Compute the Hausdorff

Chapter 10, Problem 9

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All of the results in this section can be extended to Rn. Compute the Hausdorff dimension of the unit cube in R3 (see Figure Ex-9). Given that the topological dimension of the unit cube is 3, determine whether it is a fractal. [Hint: Express the unit cube as the union of eight smaller congruent nonoverlapping cubes.]

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