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private java scripts private java scripts How would you need to change it and what features would you add to make it suitable for plotting discrete experimental data? An infinite set that with zero lengthWe're now going to use Java to implement some classic examples of fractal geometry. We'll do three of these. We begin with a one-dimensional set with an infinite number of points that covers zero length. Then we'll investigate the Koch snowflake. Finally in the next chapter we'll delve into the most famous fractal of all, the Mandelbrot set.

private java scripts The middle third set is defined by starting with all the real numbers between zero and one inclusive. Then we cut out the middle third of that set (exclusive of the endpoints). i.e. everything between one third and two thirds exclusive.

private java scripts Next we cut the middle third of the two line segments that remain, i.e. everything between one ninth and two ninths and between seven ninths and eight ninths. We continue this process indefinitely.Was that confusing? Good.

private java scripts A picture is worth a thousand words and a good Java program is worth a thousand pictures. We now proceed to show you a Java program that draws successive pictures to demonstrate the middle third set. import java.applet.Applet; import java.

private java scripts

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private java scripts