Geometry: An Interactive Journey to Mastery

Lesson 31: The Mathematics of Fractals

The Mathematics of Fractals

Lesson 31

Topics

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x Applications in the natural world.

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x fractal dimension: If a fractal is composed of N parts, each a scaled copy of the original fractal with

scale factor k, then its fractal dimension is the number d so that kd (^) N^1.
Formula
x geometric series formula:
NN11 1 NN^23 "^1  1 for whole numbers N t 2.
Summary
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objects in the natural world.
Example 1
In what way does the Figure 31.1 illustrate the geometric series
formula for N = 3?
Figure 31.1