If you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of… — Benoit Mandelbrot Copy Share Image
Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud,… — Benoit Mandelbrot Copy Share Image
Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes… — Benoit Mandelbrot Copy Share Image
I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many… — Benoit Mandelbrot Copy Share Image
I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely… — Benoit Mandelbrot Copy Share Image
I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid-a term used in this work to… — Benoit Mandelbrot Copy Share Image
One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence… — Benoit Mandelbrot Copy Share Image
Why is geometry often described as 'cold' and 'dry?' One reason lies in its inability to describe the shape of a cloud,… — Benoit Mandelbrot Copy Share Image
Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which… — Benoit Mandelbrot Copy Share Image
I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It… — Benoit Mandelbrot Copy Share Image
The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology… — Benoit Mandelbrot Copy Share Image
Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities,… — Benoit Mandelbrot Copy Share
It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made… — Benoit Mandelbrot Copy Share
Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion. — Benoit Mandelbrot Copy Share
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… — Benoit Mandelbrot Copy Share
One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining… — Benoit Mandelbrot Copy Share
My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and… — Benoit Mandelbrot Copy Share
The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may… — Benoit Mandelbrot Copy Share
Most economists, when modeling market behavior, tend to sweep major fluctuations under the rug and assume they are anomalies. What I have found is… — Benoit Mandelbrot Copy Share
I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the… — Benoit Mandelbrot Copy Share
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,… — Benoit Mandelbrot Copy Share
When I first began studying prices, it wasn't a topic that mathematicians were working on. Purely by accident, I saw a set of data… — Benoit Mandelbrot Copy Share
The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines. — Benoit Mandelbrot Copy Share
Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify the rules of… — Benoit Mandelbrot Copy Share
Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial… — Benoit Mandelbrot Copy Share
![“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…” quote by Benoit Mandelbrot](https://sms4smile.com/q/img-quotes/ba1/benoit-mandelbrot-7685_challenges_the-existence-of-these-patterns-fractals_2163652.jpg)
