Category Archives: Fractals

The Mandelbrot Setâ€”Part IV: Defining the Mandelbrot Set

The Mandelbrot Set Series: This post is the fourth in a series on the Mandelbrot set. In previous posts, we have discussed what fractals are, given a hint as to the complexity of the Mandelbrot set, and laid some groundwork … Continue reading

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The Mandelbrot Set—Part III: Complex Numbers

The Mandelbrot Set Series: This post is the third in a series on the Mandelbrot set. The Mandelbrot set resides upon the complex plane. This means that in order to look more closely at the Mandelbrot set itself, we need … Continue reading

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The Mandelbrot Set—Part II: Exploring the Mandelbrot Set

The Mandelbrot Set Series: This post is the second in a series on the Mandelbrot set. In this post, we are going to spend some time exploring the set, in order to get a feel for some of the structures … Continue reading

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The Mandelbrot Set—Part I: Fractals

Every Monday for the past several weeks, I have posted an image under the heading Monday Mandelbrot Madness. I have offered up these images largely on aesthetic grounds, and offered very little in the way of mathematical explanation. There are … Continue reading

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