Lesson 31: The Mathematics of Fractals
- What is the fractal dimension of the fractal in Figure 31.3?
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dividing it into 27 small cubes and removing the very center
cube and the center cube of each face. The action is then
repeated on the 20 remaining cubes, and then repeated over
and over again in the cubes that remain after each iteration.
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WULDQJOHLVVTXDUHXQLWͽ - Two walls of identical size are to be painted. One has a smooth surface, and the other has a textured
surface. Which wall will require the greater amount of paint to cover?
Problems
Figure 31.3
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Figure 31.4