1 Like Mount Everest, the Mandelbrot set is just there!

2 The Mandelbrot set provides a striking example.

3 The Mandelbrot set is not an invention of the human mind: it was a discovery.

4 Graphic designers have lots of fun with the Mandelbrot set. There are several fractal geometry software programs available for download.

5 This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.

6 For instance, I've seen this come up in Mandelbrot set explorers where you can zoom in so far that the entire graph falls between the nearest two doubles.

7 The Mandelbrot set has inspired some nerd-tastic creations, like fractal ties and even this cross-stitch found on Flickr.

8 Julia set and Mandelbrot set are two important sets in fractal theory.

9 The Mandelbrot set, which is most commonly represented by the above illustration, provides a way of understanding roughness in the world around us.

10 The Mandelbrot set is infinitely deep and complex at all scales, but a float or a double can go only so deep before losing the ability to distinguish adjacent points.

11 Now we witnessed, at the beginning of Chapter 3, a certain extraordinarily complicated-looking set, namely the Mandelbrot set.

12 Let us now return to our earlier discussion of the Mandelbrot set.

13 Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set. The formula explains the repeating complexity of broccoli heads like this one.

14 A demonstration of a public grid with anonymous users for rendering Mandelbrot set is included too.

15 Both vegetables and quadratic polynomials are made more interesting with the Mandelbrot set.

16 The basic concepts of fractal are introduced with some in-depth research on complex fractal, in which the complex plane Julia set, Mandelbrot set and classic definition set are introduced.