The Mandelbrot set is the most complex mathematical object…

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.

— Benoit Mandelbrot

It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier…

— Robert L. Devaney

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

— Timothy Gowers

One of my colleagues likes to say that, mathematics is the - he thinks about the only subject that he knows in academia or…

— Peter Woit

Life's challenges are no tougher than complex mathematical problems that require all simple equations with factors like X and Y to find solutions and…

— Anuj Somany

“I can read and write in nine different languages, two of which are dead ones and two fictional ones. I can solve complex mathematical…

— J.C. Mells

“mandelbrot changed the way ibm's engineers thought about the cause of noise. bursts of errors had always sent the engineers looking for a man…

— James Gleick

The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made.

— John Allen Paulos

Anybody can find infinite Mandelbrot figures in his navel.

— Poul Anderson

When we talk about the impact inside mathematics, and applications in the sciences, [Mandelbrot] is one of the most important figures of the last…

— Heinz-Otto Peitgen

Now, as Mandelbrot points out, ... Nature has played a joke on the mathematicians. The 19th-century mathematicians may not have been lacking in imagination,…

— Freeman Dyson

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

For a physicist mathematics is not just a tool by means of which phenomena can be calculated, it is the main source of concepts…

— Freeman Dyson

You feed yourself. Make sure you have all the information, whether it's aesthetic, scientific, mathematical, I don't care what it is. Then you walk…

— Ray Bradbury

It is indeed a surprising and fortunate fact that nature can be expressed by relatively low-order mathematical functions.

— Rudolf Carnap