Dimension Definition Applied to a Square 488 2003 Key Curriculum Press Chapter 11

Chapter 11, Problem 1

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Dimension Definition Applied to a Square 488 2003 Key Curriculum Press Chapter 11: Matrix Transformations and Fractal Figures Figure 11-6f Problem: Figure 11-6e shows a square region divided into 25 self-similar squares, each with side length the side length of the original square. Figure 11-6e a. Show that the Hausdorff dimension leads you to conclude that a square is two-dimensional. with sides r = 0.01 times the length of the original sides, show that the Hausdorff dimension would still lead to the conclusion that a square is two-dimensional. Hausdorff dimension really does apply to the square when it is cut into smaller self-similar squares?

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