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Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.
Benoît Mandelbrot
A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...
Benoît Mandelbrot
If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.
Benoît Mandelbrot
The first of the "request" prayers in the daily Amidah is a fractal. It replicates in miniature the structure of the Amidah as a whole.
Jonathan Sacks
A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.
Benoît Mandelbrot
A branch of physics that I was working in for many years has lately become much less active. Many problems have been solved and others are so difficult that nobody knows what to do about them. This means that I do much less physics today than 15 years ago. By contrast, fractal tools have plenty to do. There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable. The hammer I crafted is the first effective tool for all kinds of roughness and nobody will deny that there is at last some roughness everywhere.
Benoît Mandelbrot
He did understand. Finally, fatally, he did. He had thought he was the master of history, that his fractal world-tree had grown according to his will. He had allowed himself to be deceived.
Matthew Stover
We are approaching a more fluid state. I have talked about cultural boiling. The idea of the phase-transition period which, in fractal mathematics, is the chaotic flux between one state and another. ...Culturally, and as a species, we are approaching a phase-transition. I don't know quite what that means, on a human level.
Alan Moore
Nowhere else in history has there ever been a flag that stands for the right to burn itself. This is the fractal of our flag. It stands for the right to destroy itself.
Ken Kesey
I fell in love with flora of all types, especially ferns. Loved the sparse structure and repetition of shape - almost fractal.
Jack Dorsey
All created forms are fractal, as is their purpose, use, and allotted time for existence.
Guy Finley
At the most abstract level, the relation between urbanism and microelectronics is scalar (fractal). The coming computers are closer to miniature cities than to artificial brains, dominated by traffic problems (congestion), migration / communications, zoning issues (mixed use), the engineering potential of new materials, questions of dimensionality (3D solutions to density constraints), entropy or heat / waste dissipation (recycling / reversible computation), and disease control.
Nick Land
There's a theory that says that life is based on a competition and the struggle and the fight for survival, and it's interesting because when you look at the fractal character of evolution, it's totally different. It's based on cooperation among the elements in the geometry and not competition.
Bruce H. Lipton
Modern humans became fixated on a collective hallucination of linear time, ignoring the fractal spirals of the surrounding universe.
Daniel Pinchbeck
The universe is fractal. The closer you look at it, the more interesting it becomes.
John Lloyd
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.
Ron Eglash
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.
Ron Eglash
I started collecting aerial photographs of Native American and South Pacific architecture; only the African ones were fractal. And if you think about it, all these different societies have different geometric design themes that they use. So Native Americans use a combination of circular symmetry and fourfold symmetry.
Ron Eglash
The word fractal, once introduced, had an extraordinary integrating effect upon myself and upon many people around.
Benoît Mandelbrot
A complicated phenomenon need not be fractal, but finding that a phenomenon is "not even fractal" is bad news, because so far nobody has invested anywhere near my effort in identifying and creating new techniques valid beyond fractals.
Benoît Mandelbrot
I have a more fractal way of working.
Alan Moore
The economy is a nonlinear fractal system, where the smallest scales are linked to the largest, and the decisions of the central bank are affected by the gut instincts of the people on the street.
David Orrell
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