Quotes & Sayings About Fractals

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. — Ronda Rousey

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. — Kate Atkinson

What are you thinking, Evan?"
So I told him.
Every you, every me. Fractals. Fracturs.
"I wonder who she is now," I said.
"So do I," Jack admitted. "All the time. — David Levithan

All high mathematics serves to do is to beget higher mathematics. — Ashim Shanker

The natural world is built upon common motifs and patterns. Recognizing patterns in nature creates a map for locating yourself in change, and anticipation what is yet to come. — Sharon Weil

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

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

Examined in color through the adjustable window of a computer screen, the Mandelbrot set seems more fractal than fractals, so rich is its complication across scales. A cataloguing of the different images within it or a numerical description of the set's outline would require an infinity of information. But here is a paradox: to send a full description of the set over a transmission line requires just a few dozen characters of code. A terse computer program contains enough information to reproduce the entire set. Those who were first to understand the way the set commingles complexity and simplicity were caught unprepared-even Mandelbrot. — James Gleick

Now in the 1980s, I happened to notice that if you look at an aerial photograph of an African village, you see fractals. And I thought, 'This is fabulous! I wonder why?' And of course I had to go to Africa and ask folks why. — Ron Eglash

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

Though blessed with the enviable properties of a mink coat - graceful, unreasonable, and impractical no matter what she was draped over - she was nevertheless one of those people whose personality proved to be the bane of modern mathematicians. She was neither a flat nor solid shape. She showed no symmetry at all. Trigonometry, Calculus and Statistics all proved useless. Her Pie Chart was a muddle of arbitrary wedges, her Line Graph, the silhouette of the Alps. And just when one listed her under Chaos Theory - Butterfly Effects, Weather Predictions, Fractals, Bifurcation diagrams and whatnot - she showed up as an equilateral triangle, sometimes even a square. — Marisha Pessl

The discovery of the fractals had proven that in a world of chaos, there is a way to understand the natural world by using something as definite and precise as values and numbers. Things and events that were beyond our understanding slowly emerge as distinctively clear as figures and images, leaving no room for mysteries and ambiguities, making the universe more understandable in the eyes of people. With this, it presents a definite point of view in the way complex things are to be observed, which would represent irregularities and open up new paths for discovery. — Tim Clearbrook

God loves fractals!) — Daniel Keown

While we think of the boundary between what is legal and what is not as a clear dividing line, it is far from being so. Rather, the boundary becomes further and further indented and folded over time, yielding a jagged and complicated border, rather than a clear straight line. In the end, the law turns out to look like a fractal: no matter how much you zoom in on such a shape, there is always more unevenness, more detail to observe. Any general rule must end up dealing with exceptions, which in turn split into further exceptions and rules, yielding an increasingly complicated, branching structure. — Samuel Arbesman

Rachel believes in it, the laws of of pattern formation and how they are universal: whatever she sees, crystallizing, a landscape of fractals, of emergence and symmetry, her world falling happily into shape where he must forge it, a pioneer of industry, sooty and scarred. For Rachel Wolff, quite simply, there are patterns everywhere, she can't help it; she is an illustrator, naturalist, cartographer - and her eye, a kaleidoscope. — Emma Richler

You were, are
cactus tourism.

meeting you: granular

fractals borrowed from oceans. — Virginia Petrucci

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal. — Benoit Mandelbrot

My life seemed to be a series of events and accidents. Yet when I look back, I see a pattern. — Benoit B. Mandelbrot

Yes, fractals are what I want to find in my music. — Gyorgy Ligeti

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. — Ron Eglash

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

Fractals, the theory of relativity, the genome: these are magnificently beautiful constructs. — Adam Savage

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

I need to tell you a story.'

What about?

Zachariah, Zachariah, my foundling boy. 'A boy. A boxer, a fighting man. A brother. No. About brothers, sisters. Foundlings, laid-in-the-streets. Fights, fighting. A boy, it all begins with the boy. My love. A wolf. Peter and the Wolf! Oh dear! I am very crazy! Let me - I must tell you this story.'

Why?

'I'm frightened.'

Of?

'Fractals. Patterns.'

Ah, says the fish, looking at Rachel with his wise eyes. Chaos!

'Yes,' thinks Rachel. 'Chaos. Fearful symmetry.'

Go home, says the fish, flipping over, flashing in light, and diving down into the great blue sea. — Emma Richler

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. — Ron Eglash

At other times I wake up from the half sleep I'd fallen into, and hazy images with poetical and unpredictable colours play out their silent show to my inattention. — Fernando Pessoa

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

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. — Ron Eglash

Any detail can be magnified to reveal even more detail ad infinitum. The technical term is "infinite complexity." Fractals are the theological equivalent of what theologians call the incomprehensibility of God. Just when we think we have God figured out, we discover a new dimension of His kaleidoscopic personality. — Mark Batterson

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

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

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

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

It has been said that the three great develpments in twentieth century science are relativity, quantum mechanics, and chaos. That strikes me the same as saying that the three great developments in twentith century engineering are the airplane, the computer, and the pop-top aluminum can. Chaos and fractals are not even twentieth century ideas: chaos was first observed by Poincare and fractals were familiar to Cantor a century ago, although neither man had the computer at his disposal to show the rest of the world the beauty he was seeing. — Robert L. Devaney

Every you, every me. Fractals. Fractures. — David Levithan

Fractal Beats The body structures of all of nature's animals are fractal, and so too is their behaviour (see Orchid Fractals) and even their timing. Our heart beats seem regular and rhythmic, but when the structure of the timing is examined in fine detail, it is revealed to be very slightly fractal. And this is very important. — Nigel Lesmoir-Gordon

If you take your thumb and your index finger and look right where they meet - go ahead and do that now - and relax your hand, you'll see a crinkle, and then a wrinkle within the crinkle, and a crinkle within the wrinkle. Right? Your body is covered with fractals. — Ron Eglash