Quotes of All Topics . Occasions . Authors
Order doesn't come by itself.
A fractal is a way of seeing infinity.
I don't seek power and do not run around
I don't seek power and do not run around.
Engineering is too important to wait for science.
Beautiful, damn hard, increasingly useful. That's fractals.
Asking the right questions is as important as answering them
Nobody will deny that there is at least some roughness everywhere
Nobody will deny that there is at least some roughness everywhere.
Think not of what you see, but what it took to produce what you see.
I was in an industrial laboratory because academia found me unsuitable
I was in an industrial laboratory because academia found me unsuitable.
Bottomless wonders spring from simple rules, which are repeated without end.
The Mandelbrot set is the most complex mathematical object known to mankind.
A formula can be very simple, and create a universe of bottomless complexity.
For most of my life, one of the persons most baffled by my own work was myself.
My fate has been that what I undertook was fully understood only after the fact.
There are very complex shapes which would be the same from close by and far away.
Unfortunately, the world has not been designed for the convenience of mathematicians.
I had very, very little training in taking an exam to determine a scientist's life in France.
If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable
The techniques I developed for studying turbulence, like weather, also apply to the stock market
The techniques I developed for studying turbulence, like weather, also apply to the stock market.
Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics
There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable.
Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics.
Until a few years ago, the topics in my Ph.D. were unfashionable, but they are very popular today.
Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.
A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...
Being a language, mathematics may be used not only to inform but also, among other things, to seduce.
For much of my life there was no place where the things I wanted to investigate were of interest to anyone.
There is a saying that every nice piece of work needs the right person in the right place at the right time.
An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.
The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
When people ask me what's my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.
An exquisitely complex shape now known as the Mandlebrot set has been called the most complex object in mathematics.
Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
The most important thing I have done is to combine something esoteric with a practical issue that affects many people.
I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.
Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.
Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.
In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.
The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.
Where do I really belong? I avoid saying everywhere - which switches all too easily to nowhere. Instead, when pressed, I call myself a fractalist.
Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.
Most were beginning to feel they had learned enough to last for the rest of their lives. They remained mathematicians, but largely went their own way.
The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent.
Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.