Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently. — Benoit Mandelbrot
Scale often has surprising emergent properties. — Sam Altman
I fell in love with flora of all types, especially ferns. Loved the sparse structure and repetition of shape - almost fractal. — Jack Dorsey
Chaos can be structured as non-chaos. That we know from Jackson Pollock. — Eva Hesse
The creation of a single world comes from a huge number of fragments and chaos. — Hayao Miyazaki
What we call chaos is just patterns we haven’t recognized. What we call random is just patterns we can't decipher. — Chuck Palahniuk
I find beauty in the continual shaping of chaos which clearly embodies the primordial power of nature's performance — Iris van Herpen
We seem to inhabit a universe made up of a small number of elements-particles-bits that swirl in chaotic clouds, occasionally clustering together in geometrically logical temporary configurations. — Timothy Leary
I think the universe is pure geometry - basically, a beautiful shape twisting around and dancing over space-time. — Antony Garrett Lisi
Bottomless wonders spring from simple rules, which are repeated without end. — Benoit Mandelbrot
Order is repetition of units.
Chaos is multiplicity without rhythm. — M. C. Escher
It turns out that an eerie type of chaos can lurk just behind a facade of order - and yet, deep inside the chaos lurks an even eerier type of order. — Douglas Hofstadter
Small islands of coherence in a sea of chaos can shift the whole system to a higher order. — Barbara Marx Hubbard
Short Fractal Quotes
Fractals, the theory of relativity, the genome: these are magnificently beautiful constructs. — Adam Savage
Every you, every me. Fractals. Fractures. — David Levithan
Yes, fractals are what I want to find in my music. — Gyorgy Ligeti
History is fractal. The closer you look, the more complicated, yet always repeating patterns. — Ted Nelson
In the mind's eye, a fractal is a way of seeing infinity. — James Gleick
All created forms are fractal, as is their purpose, use, and allotted time for existence. — Guy Finley
I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals. — Benoit Mandelbrot
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 to anything we can see or feel. — Benoit Mandelbrot
Modern humans became fixated on a collective hallucination of linear time, ignoring the fractal spirals of the surrounding universe. — Daniel Pinchbeck
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. — Benoit Mandelbrot
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. — David Levithan
The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes. — Benoit Mandelbrot
Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed. — Benoit Mandelbrot
The simple equations that generate the convoluted Mandelbrot fractal have been called the wittiest remarks ever made. — John Allen Paulos
Fractal litigation, whereby the flapping of a butterfly’s wings on one side of the world resulted in a massive compensation claim on the other. — Steve Aylett
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
I find enough mystery in mathematics to satisfy my spiritual needs. I think, for example, that pi is mysterious enough (don't get me started!) without having to worry about God. Or if pi isn't enough, how about fractals? or quantum mechanics? — Tom Lehrer
Capitalism is like this fractal thing where anything that contains an element of capitalism anywhere inside it is just something that turns into capitalism. It is an incredibly defeatist attitude. If you choose to look at reality that way, I suppose you can, but you have to do enormous violence to reality to do so consistently. — David Graeber
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. — Benoit Mandelbrot
Many painters had a clear idea of what fractals are. Take a French classic painter named Poussin. Now, he painted beautiful landscapes, completely artificial ones, imaginary landscapes. And how did he choose them? Well, he had the balance of trees, of lawns, of houses in the distance. He had a balance of small objects, big objects, big trees in front and his balance of objects at every scale is what gives to Poussin a special feeling. — Benoit Mandelbrot
At the earliest drawings of the fractal curve, few clues to the underlying mathematical structure will be seen. — Louis L'Amour
The decline of violence is a fractal phenomenon. You can see it over millennia, over centuries, over decades and over years. — Steven Pinker
I've always been interested in the principle of the fractal, which is typified by self-similarity across scale, which both puts a lot of pressure on a specific viewer's perspective and opens up the number of "correct" viewing positions infinitely, in this way thwarting the power-related implications of traditional, Renaissance single-point perspective. — Cole Swensen
I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal. — Benoit Mandelbrot
Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have deeper and deeper roots, never (how to say it), jelled. — Benoit Mandelbrot
I probably spend more time writing than reading science fiction. I find that science-fiction literature is so reactive to all the literature that's gone before that it's sort of like a fractal. It's gone to a level of detail that the average person could not possibly follow unless you're a fan. It iterates upon many prior generations of iterations. — James Cameron
You're a refraction of the one light. You're a waveform of light. You're a fractal, a pattern that continuously changes. — Frederick Lenz
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 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. — Benoit Mandelbrot
Cocoa-buttered girls were stretched out on the public beach in apparently random alignments, but maybe if a weather satellite zoomed in on one of those bodies and then zoomed back out, the photos would show the curving beach itself was another woman, a fractal image made up of the particulate sunbathers. All the beaches pressed together might form female landmasses, female continents, female planets and galaxies. No wonder men felt tense. — Bonnie Jo Campbell
It's a product of the fractal laws that govern the world at an informational level. There is no deeper truth. — Terence McKenna
Maybe relationships could have fractals, too. And maybe the sense of loss was when you're becoming a fractal of what you once were to each other. — David Levithan
In Conclusion
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