Quotes About Fractals

A key aspect of a probabilistic fractal is that it enables the generation of a great deal of apparent complexity, including extensive varying detail, from a relatively small amount of design information. Biology uses this same principle. Genes supply the design information, but the detail in an organism is vastly greater than the genetic design information.

Across the world millions of lives are altered by the absence of the dead, but three members of Teddy's last crew—Clifford the bomb-aimer, Fraser, the injured pilot, and Charlie, the tail-end Charlie—all bail out successfully from F-Fox and see out the rest of the war in a POW camp. On their return they all marry and have children, fractals of the future.

Benoit Mandelbrot can be considered the Euclid of fractal geometry. He has collected the observations of mathematicians concerned with monsters, or objects not definable by euclidean geometry. By combining the work of these mathematicians with his own insight, he has created a geometry of nature that thrives on asymmetry and roughness. Mandelbrot has said that mountains are not cones, and clouds are not spheres.

The techniques I developed for studying turbulence, like weather, also apply to the stock market.

Fractals is Nature's wonderful way of empowering and enabling us to visualize the whole World in a grain of Sand and the Heaven in a beautiful smiling Flower.

Where do I really belong? I avoid saying everywhere - which switches all too easily to nowhere. Instead, when pressed, I call myself a fractalist.

Nobody will deny that there is at least some roughness everywhere.

Fractals are the geometry of chaos, and they are found throughout Nature.

Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.

There is no singular 'reason' why Africans use fractals, any more than a singular reason why Americans like rock music. Such enormous cultural practices just cover too much social terrain.

All created forms are fractal, as is their purpose, use, and allotted time for existence.

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.

Long live transfinite mountains, the hollow earth, time machines, fractal writing, aliens, dada, telepathy, flying saucers, warped space, teleportation, artificial reality, robots, pod people, hylozoism, endless shrinking, intelligent goo, antigravity, surrealism, software highs, two-dimensional time, gnarly computation, the art of photo composition, pleasure zappers, nanomachines, mind viruses, hyperspace, monsters from the deep and, of course, always and forever, the attack of the giant ants!

Modern humans became fixated on a collective hallucination of linear time, ignoring the fractal spirals of the surrounding universe.

Interestingly, it is the play between imaginary and real numbers that effortlessly produces the beautiful complexity of fractals and chaos theory, models of the recursive shapes and processes we find all around us in nature.

I make fractals. They're like mathematical pictures. My stepdad is actually a rocket scientist, so in his free time, he gave me a fractal program for fun. He showed me how to use it when I was about nine or 10, and I made thousands of fractals.

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

Why is geometry often described as ""cold" and ""dry?" One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. 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.

For a complex natural shape, dimension is relative. It varies with the observer. The same object can have more than one dimension, depending on how you measure it and what you want to do with it. And dimension need not be a whole number; it can be fractional. Now an ancient concept, dimension, becomes thoroughly modern.

In economics, there can never be a "theory of everything." But I believe each attempt comes closer to a proper understanding of how markets behave.

The best thing we can do is give students the tools for constructing their own identities - powerful new tools like African fractals - and then just get out of the way.

There's nothing really connecting the behavior of the Nile, metallurgy, and the behavior of prices except that I had the mathematical tools to explain them.

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.

I just toured around looking for fractals, and when I found something that had a scaling geometry, I would ask the folks what was going on - why they had made it that way.