| What about the scone, or the biscotti, or the lowly mandelbrot? |
|
| Mandelbrot has received numerous honours and prizes in recognition of his remarkable achievements. |
|
| For this reason I have done without anecdotes, cartoons, exclamation marks, jokey chapter titles, or pictures of the Mandelbrot set. |
|
| The Mandelbrot set is beautiful even if it is the monochromatic blot in the middle of the colorful depiction of equipotential lines. |
|
| The exterior of the Mandelbrot set consists of points for which certain iterations diverge. |
|
| I didn't come across complex numbers again until I saw the Mandelbrot set for the first time. |
|
| In 1980, Mandelbrot has discovered the set M of parameter values c for which Julia sets are connected. |
|
| The Mandelbrot set is a connected set of points in the complex plane. |
|
| Mathematician benoit Mandelbrot is namedropped on page 49 in a hiccupped discussion of chaos theory. |
|
| It also replaces the rather 1960s-ish gestalt cubes cover art of the first two editions with a fractal representation of swirly Mandelbrot sets. |
|
| The original Julia set, for example, used by Mandelbrot, is based on iteration with complex numbers, possibly a Year 11 or 12 topic. |
|
| The Mandelbrot set serves as a prime example of how simple mathematical operations can yield astonishingly complex geometric forms. |
|
| The system is based on polynomial fractal sets, specifically on the Mandelbrot set. |
|
| Future research will become increasingly important for multi-dimensional fractal structures, in particular, variations and Julio Mandelbrot sets. |
|
| De Bruijn sequences, the Gilbreath Principle and their connection with the Mandelbrot set are discussed in some detail and their applications in magic tricks dealt with. |
|
| Many mathematicians have already contributed to the detailed investigation of the Mandelbrot set's boundary and its closely related kin, called Julia sets. |
|
