Geometry: An Interactive Journey to Mastery

(Greg DeLong) #1

Lesson 31: The Mathematics of Fractals



  1. What is the fractal dimension of the fractal in Figure 31.3?

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    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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  5. 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
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