Mandelbrot Set Quotes & Sayings

In the trunk of her car, my mother used to keep a collapsible easel, a clutch of brushes, a little wooden case stocked with tubes of paint, and, tucked into the spare-tire well, one of my father's old, tobacco-stained shirts, for a smock. — Jill Lepore

There is a vast difference between devotion to a person and devotion to principles or to a cause. Our Lord never proclaimed a cause- He proclaimed personal devotion to Himself. To be a disciple is to be a devoted bondservant motivated by love for the Lord Jesus. — Oswald Chambers

The Mandelbrot set is the most complex mathematical object known to mankind. — Benoit Mandelbrot

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales. — Benoit Mandelbrot

You look at your child's face, and you don't wonder whose side you're on. You know. That side. — Ted Kosmatka

Douady and Hubbard used a brilliant chain of new mathematics to prove that every floating molecule does indeed hang on a filigree that binds it to all the rest, a delicate web springing from tiny outcroppings on the main set, a "devil's polymer," in Mandelbrot's phrase. The mathematicians proved that any segment-no matter where, and no matter how small-would, when blown up by the computer microscope, reveal new molecules, each resembling the main set and yet not quite the same. Every new molecule would be surrounded by its own spirals and flame-like projections, and those, inevitably, would reveal molecules tinier still, always similar, never identical, fulfilling some mandate of infinite variety, a miracle of miniaturization in which every new detail was sure to be a universe of its own, diverse and entire. — James Gleick

When you are in a combat situation, you mustn't let your mind be polluted by emotions like fear and anger. Simply accept the situation and react, even if you are facing impossible odds. Keep your head clear and you will be one step ahead of your attackers. — Aaron B. Powell

When you're writing, it's all up to you, and you don't have to make any compromises. And when you're directing, there's this intense pleasure you get from working with all these really talented people, and pooling the efforts towards a common goal. I like all the aspects of film-making. — Henry Selick

I'm not a writing group member, not a joiner in that way. I don't seek a wide swath of feedback. — Claire Messud

But was chance necessary? Hubbard, too, thought about the parallels between the Mandelbrot set and the biological encoding of information, but he bristled at any suggestion that such processes might depend on probability. "There is no randomness in the Mandelbrot set," Hubbard said. "There is no randomness in anything that I do. Neither do I think that the possibility of randomness has any direct relevance to biology. In biology randomness is death, chaos is death. Everything is highly structured. When you clone plants, the order in which the branches come out is exactly the same. The Mandelbrot set obeys an extraordinarily precise scheme leaving nothing to chance whatsoever. I strongly suspect that the day somebody actually figures out how the brain is organized they will discover to their amazement that there is a coding scheme for building the brain which is of extraordinary precision. The idea of randomness in biology is just reflex. — James Gleick

Because, you see, everything you know about the way this universe works is correct - except for the little problem that this isn't the only universe we have to worry about. Information can leak between one universe and another. And in a vanishingly small number of the other universes there are things that listen, and talk back - see Al-Hazred, Nietzsche, Lovecraft, Poe, et cetera. The many-angled ones, as they say, live at the bottom of the Mandelbrot set, except when a suitable incantation in the platonic realm of mathematics - computerised or otherwise - draws them forth. (And you thought running that fractal screen-saver was good for your computer?) — Charles Stross

Incendiary capitalism is carrying its out evil works more dangerously than ever, and is doing so in the increasingly dangerous neighborhood of the powder kegs that are the great European military powers. — Karl Liebknecht

Engineers had not framework for understanding Mandelbrot's description, but mathematicians did. In effect, Mandelbrot was duplicating an abstract construction known as the Cantor set, after the nineteenth-century mathematician Georg Cantor. To make a Cantor set, you start with the interval of numbers from zero to one, represented by a line segment. Then you remove the middle third. That leaves two segments, and you remove the middle third of each (from one-ninth to two-ninths and from seven-ninths to eight-ninths). That leaves four segments, and you remove the middle third of each- and so on to infinity. What remains? A strange "dust" of points, arranged in clusters, infinitely many yet infinitely sparse. Mandelbrot was thinking of transmission errors as a Cantor set arranged in time. — James Gleick

Examined in color through the adjustable window of a computer screen, the Mandelbrot set seems more fractal than fractals, so rich is its complication across scales. A cataloguing of the different images within it or a numerical description of the set's outline would require an infinity of information. But here is a paradox: to send a full description of the set over a transmission line requires just a few dozen characters of code. A terse computer program contains enough information to reproduce the entire set. Those who were first to understand the way the set commingles complexity and simplicity were caught unprepared-even Mandelbrot. — James Gleick

It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier than the pictures themselves. — Robert L. Devaney

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'. — Benoit Mandelbrot