How Do I Use This Activity?

This activity allows the user to calculate the fractal dimension of a series of regular fractals without access to a calculator. It is not necessary to understand logarithms to use this activity. This activity shows the user generators for eleven line deformation fractals and two geometric fractals for which the scale factor and the number of copies must be input correctly.

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Controls and Output

• The Next Fractal and Previous Fractal buttons on the left side of the applet control which fractal generator is being viewed.
       

• The Enter Scale Factor textfield on the right side of the applet allows you to type in the scale factor for the line deformation you are currently viewing.
    

• The Enter Number Of Copies textfield on the right side of the applet allows you to type in the number of copies made from the line deformation you are currently viewing.
    

• The Calculate Fractal Dimension button on the right side of the applet will check your answers from the above textfields.
    

• The Result Box below the Calculate Fractal Dimension button will display the result after you have pressed the Calculate Fractal Dimension button.
    

• The See a deeper level of this fractal! button on the bottom right side of the applet will become active immediately after you have correctly guessed the scale factor and number of copies for the line deformation you are currently viewing. It allows you to view increasing levels of the line deformation as applied to a straight line.