The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory… — Benoit Mandelbrot Copy Share Image
Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently. — 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
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
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
Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes,… — 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
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
If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal. — Benoit Mandelbrot Copy Share Image
A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales. — Benoit Mandelbrot Copy Share Image
Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain… — Benoit Mandelbrot Copy Share Image
Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each… — 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 Image
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 Image
Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion. — Benoit Mandelbrot Copy Share Image
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 Image
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 Image
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 Image
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 Image
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 Image
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 Image
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 Image
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 Image
![“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/quotes/img-quotes/ba1/benoit-mandelbrot-7685_challenges_the-existence-of-these-patterns-fractals_2163652.jpg)
