SharePicture Quotes I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not - for the job that I should spend my life in. —Benoit Mandelbrot

SharePicture Quotes Being a language, mathematics may be used not only to inform but also, among other things, to seduce. —Benoit Mandelbrot

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

SharePicture Quotes Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory —Benoit Mandelbrot

SharePicture Quotes I didn't want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure - I wanted to do something different. —Benoit Mandelbrot

SharePicture Quotes It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes When people ask me what's my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one. —Benoit Mandelbrot

SharePicture Quotes The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn't expect that it was possible. I just moved from step to step to step. —Benoit Mandelbrot

SharePicture Quotes Think not of what you see, but what it took to produce what you see. —Benoit Mandelbrot

SharePicture Quotes When the weather changes, nobody believes the laws of physics have changed. Similarly, I don't believe that when the stock market goes into terrible gyrations its rules have changed —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes I had very, very little training in taking an exam to determine a scientist's life in France. —Benoit Mandelbrot

SharePicture Quotes Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion. —Benoit Mandelbrot

SharePicture Quotes I didn't feel comfortable at first with pure mathematics, or as a professor of pure mathematics. I wanted to do a little bit of everything and explore the world. —Benoit Mandelbrot

SharePicture Quotes Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics —Benoit Mandelbrot

SharePicture Quotes Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes 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 —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable —Benoit Mandelbrot

SharePicture Quotes Unfortunately, the world has not been designed for the convenience of mathematicians. —Benoit Mandelbrot

SharePicture Quotes Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial ones, imaginary landscapes. And how did he choose them? Well, he had the balance of trees, of lawns, of houses in the distance. He had a balance of small objects, big objects, big trees in front and his balance of objects at every scale is what gives to Poussin a special feeling. —Benoit Mandelbrot

SharePicture Quotes A formula can be very simple, and create a universe of bottomless complexity. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes 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

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

SharePicture Quotes If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal. —Benoit Mandelbrot

SharePicture Quotes Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes I was asking questions which nobody else had asked before, because nobody else had actually looked at certain structures. Therefore, as I will tell, the advent of the computer, not as a computer but as a drawing machine, was for me a major event in my life. That's why I was motivated to participate in the birth of computer graphics, because for me computer graphics was a way of extending my hand, extending it and being able to draw things which my hand by itself, and the hands of nobody else before, would not have been able to represent. —Benoit Mandelbrot

SharePicture Quotes The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes For most of my life, one of the persons most baffled by my own work was myself. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes There are very complex shapes which would be the same from close by and far away. —Benoit Mandelbrot

SharePicture Quotes If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line. —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics. —Benoit Mandelbrot

SharePicture Quotes I was in an industrial laboratory because academia found me unsuitable —Benoit Mandelbrot

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes 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

SharePicture Quotes In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems. —Benoit Mandelbrot