A Quote by Benoit Mandelbrot
Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
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I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.
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.
Creating a body of mathematics is about intellectual labor, not some kind of transcendental revelation. There are plenty of important components of European fractal geometry that are missing from the African version.
Pi is not merely the ubiquitous factor in high school geometry problems; it is stitched across the whole tapestry of mathematics, not just geometry's little corner of it. Pi occupies a key place in trigonometry too. It is intimately related to e, and to imaginary numbers. Pi even shows up in the mathematics of probability
Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
You existed. You existed now as a fractal. Definition: A fractal is generally a rough or fragmented geometric shape that can be broken into parts, each of which is (at least approximately) a reduced-size copy of the whole. Maybe I was a fractal. Maybe the photographer was a fractal. Maybe we were all fractals.
Fractal geometry is everywhere, even in lines drawn in the sand. It's the cycle of life... You see fractals in plants, in flowers. Within the human lung are branches within branches.
Mathematicians didn't invent infinity until 1877. So they thought it was impossible that Africans could be using fractal geometry.
When you are reading a book and you finish a chapter, you don’t keep re-reading the chapter you just finished. You move on to the next chapter to see what happens.
While fractal geometry is often used in high-tech science, its patterns are surprisingly common in traditional African designs.
Fractions, decimals, algebra, geometry, trigonometry, calculus, mechanics - these are the steps up the mountain side. How high is one going to get? For me, the pinnacle was Projective Geometry. Who today has even heard of this branch of mathematics?
Being a photographer helps me see the work differently. I always walk away seeing things differently than when I stare at them myself. It gives me a little distance. So I love photography, but it also helps me tell the story. When I shoot the ad campaign for my work, it allows me to be much more direct.
The Internet helps break down so many barriers. People start to see what's happening around the world, they feel more of a oneness and they get information all at the same time, so that helps.
Every generation has a changing of the guard in media. We do the same stuff that everybody else does, but we just do it differently. We do our content online differently. We do our magazines differently. We do our TV differently. We never had anyone tell us how to do magazines, so we just developed it in a different way.
The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics.
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