Benoit Mandelbrot was a French-American mathematician who is known as the "father of fractal geometry". He is best known for his discovery of the Mandelbrot set, a mathematical set of points whose boundary is a fractal shape. He is also credited with coining the term "fractal" and popularizing fractal geometry, which is now used in many fields of science, such as physics, biology, and finance.

## What is the most famous quote by Benoit Mandelbrot ?

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

— Benoit Mandelbrot

## What can you learn from Benoit Mandelbrot (Life Lessons)

1. Benoit Mandelbrot taught us that complexity can be found in the simplest of equations, and that the most intricate patterns can be found in nature.
2. He also showed us that there is beauty in chaos, and that the world is full of unexpected surprises.
3. He encouraged us to think outside the box and to never be afraid of taking risks or exploring new ideas.

## The most famous Benoit Mandelbrot quotes to discover and learn by heart

Following is a list of the best Benoit Mandelbrot quotes, including various Benoit Mandelbrot inspirational quotes, and other famous sayings by Benoit Mandelbrot.

### A fractal is a way of seeing infinity.

Benoit Mandelbrot
84

Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.

Benoit Mandelbrot
73

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.

Benoit Mandelbrot
71

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.

Benoit Mandelbrot
70

## Who is Benoit Mandelbrot?

 Benoit Mandelbrot is a Mathematician Profession Mathematician Born October 16 Quotes 79 sayings

Bottomless wonders spring from simple rules, which are repeated without end.

Benoit Mandelbrot
66

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

Benoit Mandelbrot
65

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Benoit Mandelbrot
61

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.

Benoit Mandelbrot
48

## Fractal quotes by Benoit Mandelbrot

### A cloud is made of billows upon billows upon billows that look like clouds.

As you come closer to a cloud you don't get something smooth, but irregularities at a smaller scale.

Benoit Mandelbrot
37

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

Benoit Mandelbrot
24

Being a language, mathematics may be used not only to inform but also, among other things, to seduce.

Benoit Mandelbrot
20

The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.

Benoit Mandelbrot
16

### The most complex object in mathematics, the Mandelbrot Set .

.. is so complex as to be uncontrollable by mankind and describable as 'chaos'.

Benoit Mandelbrot
14

The most important thing I have done is to combine something esoteric with a practical issue that affects many people.

Benoit Mandelbrot
13

One couldn't even measure roughness. So, by luck, and by reward for persistence, I did found the theory of roughness, which certainly I didn't expect and expecting to found one would have been pure madness.

Benoit Mandelbrot
12

### Self-similarity is a dull subject because you are used to very familiar shapes.

But that is not the case. Now many shapes which are self-similar again, the same seen from close by and far away, and which are far from being straight or plane or solid.

Benoit Mandelbrot
11

## Quotations by Benoit Mandelbrot that are geometry and complexity

An extraordinary amount of arrogance is present in any claim of having been the first in inventing something.

Benoit Mandelbrot
9

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.

Benoit Mandelbrot
8

### My life has been extremely complicated.

Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.

Benoit Mandelbrot
6

For most of my life, one of the persons most baffled by my own work was myself.

Benoit Mandelbrot
6

There is a saying that every nice piece of work needs the right person in the right place at the right time.

Benoit Mandelbrot
6

### Asking the right questions is as important as answering them

Benoit Mandelbrot
5

If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).

Benoit Mandelbrot
5

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.

Benoit Mandelbrot
5

Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of competition by withdrawing entirely into narrowly defined specialties. The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

Benoit Mandelbrot
4

It was a very big gamble. I lost my job in France, I received a job in which was extremely uncertain, how long would IBM be interested in research, but the gamble was taken and very shortly afterwards, I had this extraordinary fortune of stopping at Harvard to do a lecture and learning about the price variation in just the right way.

Benoit Mandelbrot
3

Unfortunately, the world has not been designed for the convenience of mathematicians.

Benoit Mandelbrot
3

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

Benoit Mandelbrot
2

Round about the accredited and orderly facts of every science there ever floats a sort of dustcloud of exceptional observations, of occurrences minute and irregular and seldom met with, which it always proves more easy to ignore than to attend to.

Benoit Mandelbrot
2

One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.

Benoit Mandelbrot
1

### 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.

Benoit Mandelbrot
1

### Order doesn't come by itself.

Benoit Mandelbrot
0

Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. That was the case long ago in the Middle Ages, in the Renaissance, in later periods, but then mathematicians had become very abstract.

Benoit Mandelbrot
0

Think not of what you see, but what it took to produce what you see.

Benoit Mandelbrot
0

Nobody will deny that there is at least some roughness everywhere.

Benoit Mandelbrot
0

Although computer memory is no longer expensive, there's always a finite size buffer somewhere. When a big piece of news arrives, everybody sends a message to everybody else, and the buffer fills.

Benoit Mandelbrot
0

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.

Benoit Mandelbrot
0

I had very, very little training in taking an exam to determine a scientist's life in France.

Benoit Mandelbrot
0

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.

Benoit Mandelbrot
0

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

Benoit Mandelbrot
0

I was in an industrial laboratory because academia found me unsuitable.

Benoit Mandelbrot
0

I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.

Benoit Mandelbrot
0

I've been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I'm not a mathematician only. I'm a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.

Benoit Mandelbrot
0

My fate has been that what I undertook was fully understood only after the fact.

Benoit Mandelbrot
0

Engineering is too important to wait for science.

Benoit Mandelbrot
0

I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid - a term used in this work to denote all of standard geometry - Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being "formless," to investigate the morphology of the "amorphous."

Benoit Mandelbrot
0

Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics.

Benoit Mandelbrot
0

If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.

Benoit Mandelbrot
0

If you look at coastlines, if you look at that them from far away, from an airplane, well, you don't see details, you see a certain complication. When you come closer, the complication becomes more local, but again continues. And come closer and closer and closer, the coastline becomes longer and longer and longer because it has more detail entering in.

Benoit Mandelbrot
0