Discover the most popular and inspiring quotes and sayings on the topic of Fractal. Share them with your friends on social media platforms like Facebook, Twitter, or your personal blogs, and let the world be inspired by their powerful messages. Here are the Top 100 Fractal Quotes And Sayings by 92 Authors including Haruki Murakami,Christie Golden,James Joyce,Arthur C. Clarke,Grant Morrison for you to enjoy and share.
An image begins taking shape. Soon, however, it becomes diagonally deformed, like italics, and disappears like a flame blown out. Then the whole process starts again. The image strains to right itself. Trembling, it tries to give concrete form to something. But the image will not come together.
shape about the size of a large dog hovering a few yards over his head.
It flows purling, widely flowing, floating foampool, flower unfurling.
How obvious, now, was that mathematical ratio of its sides, the quadratic sequence 1:4:9! And how naive to have imagined that the series ended there, in only three dimensions!
It's not so much that history is simply cyclical, it seems to progress via recursive, repeated fractal patterns with minute variations.
like a small sandstorm that keeps changing
Later: I'm seeing everything in pieces and fractions, like a series of photographs shuffled randomly together.
The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.
The artist's task consists of making one thing of many, and a
world from the smallest part of a thing.
All things are formed of patterns, from a single blade of grass to the most majestic of mountains: air and water, fire and earth; Life itself.
Neat little rectangular arrangements of suffering. His
Perfectly ordered disorder designed with a helter-skelter magnificence.
The pattern appears so ethereally, that it is hard to remember that the shape is an attractor. It is not just any trajectory of a dynamical system. It is the trajectory toward which all other trajectories converge.
And we must invent dynamic designs to go with them and express them in equally dynamic shapes: triangles, cones, spirals, ellipses, circles, etc.
Since my childhood, I have always made works with polka dots. Earth, moon, sun and human beings all represent dots; a single particle among billions.
Shape of eternal light, by my divine existence, it should shine in your decent thoughts.
Impulse. Response. Fluid. Imperfect. Patterned. Chaotic.
I would like the colors, their shapes and positions to be arrived at in response to and dictated by the condition of the total space at the time they are considered.
The whole of nature is an endless demonstration of shape and form. It always surprises me when artists try to escape from this.
Fraking phenomenal.
One can understand nature only when one has learned the language and the signs in which it speaks to us; but this language is mathematics and these signs are methematical figures.
From a sequence of these individual patterns, whole buildings with the character of nature will form themselves within your thoughts, as easily as sentences.
One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden.
I see the world in rectangles. If I am talking to someone, I find myself analysing their face, working out how to recreate it in bricks.
The Mandelbrot set is the most complex mathematical object known to mankind.
so full of shapes is fancy
No matter what the illusion created, it is a flat canvas and it has to be organized into shapes ...
There are very complex shapes which would be the same from close by and far away.
The pits and tangles are more than blemishes distorting the classic shapes of Euclidian geometry. They are often the keys to the essence of a thing
Fill a space in a beautiful way.
No order, no pattern, just chaos. Lots of little universes separated by invisible screens . . .
Throb
You cut me
into pieces and
put them in separate corners
of the room
each part
placed under pillows
or into water
I grow from this darkness
like starfish
my fingers know the shape to take again
The building blocks of Life are made up of shapes and spaces.
Before computers, you'd start designing using shapes of cubes. Now I can start with something like a handkerchief, an object that doesn't have strong inside and outside boundaries or much closed volume.
Life is made up of dots
I try to construct a picture in which shapes, spaces, colors, form a set of unique relationships, independent of any subject matter. At the same time I try to capture and translate the excitement and emotion aroused in me by the impact with the original idea.
Symbols are oracular forms-mysterious patterns creating vortices in the substances of the invisible world.
Like a circle in a spiral
Like a wheel within a wheel
Never ending or beginning
On an ever-spinning reel
As the images unwind
Like the circles that you find
In the windmills of your mind.
One of the ideas that was developed at MIT in a workshop was, imagine this pipe, and you've got valves, solenoid valves, taps, opening and closing. You create like a water curtain with pixels made of water. If those pixels fall, you can write on it: you can show patterns, images, text.
The art of pictorial creation is so complicated - it is so astronomical in its possibilities of relation and combination that it would take an act of super-human concentration to explain the final realization.
As a lamp, a cataract, a star in space
an illusion, a dewdrop, a bubble
a dream, a cloud, a flash of lightning
view all created things like this.
It's kind of a language I've developed over time that's basically breaking up the face into components and planes. Inside each plane, I draw gradation marks, and when planes come together, they form sinews, a hairlike weave that's like a landscape of the face.
We're quite into graphics that are simultaneously two- and three-dimensional. But I can't really elaborate any further because it's not something - we haven't really perfected it.
An artist must struggle to accept the shape of this universe - and achieve some important successes ...
Height, width, and depth are the three phenomena which I must transfer into one plane to form the abstract surface of the picture, and thus to protect myself from the infinity of space.
The past is fractal premonition, infinite to the eye but nothing to be built on ...
Infinity is present in each part. A loving smile contains all art. The motes of starlight spark and dart. A grain of sand holds power and might.
In the paintings I was always interested in taking elements of space and the reality that we know and dissolving it into patterns.
Nature has no outline. Imagination has.
Out of a shardstrewn
madness
I stand up
and look upon my hand,
how it draws the one
and only
circle
Colors must fit together as pieces in a puzzle or cogs in a wheel.
Slowly, quietly, like snow-flakes - like the small flakes that come when it is going to snow all night
- little flakes of me, my impressions, my selections, are settling down on the image of her. The real shape wil be quite hidden in the end.
Modern humans became fixated on a collective hallucination of linear time, ignoring the fractal spirals of the surrounding universe.
Bee there Orr Bee A Rectangular Thyng
Viewed as a geometric figure, the ant's path is irregular, complex, and hard to describe.
Mandelbrot saw a seemingly smooth boundary resolve itself into a chain of spirals like the tails of sea horses. The irrational fertilized the rational.
At extremely high processing speeds we are able to find patterns of order in what other people would perceive as chaos.
Pour a liquid out of its container, and it changes shape, fills the space you give it. If you give children a lot of space, it may surprise you where they'll go and the shape they'll take.
Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
Here, where we reach the sphere of mathematics, we are among processes which seem to some the most inhuman of all human activities and the most remote from poetry. Yet it is here that the artist has the fullest scope of his imagination.
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.
...words so precisely placed that in combination with other words, also precisely placed, they carve out a shape in space and time.
In the products of the unconscious we discover mandala symbols, that is, circular and quaternity figures which express wholeness, and whenever we wish to express wholeness, we employ just such figures.
So full of shapes is fancy That it alone is high fantastical.
Pick up a sunflower and count the florets running into its centre, or count the spiral scales of a pine cone or a pineapple, running from its bottom up its sides to the top, and you will find an extraordinary truth: recurring numbers, ratios and proportions.
A piece of wall can be visually disintegrated from the whole into a separate triangle by plunging a diagonal of light from edge to edge on the wall; that is, side to floor, for instance.
And despite the fact that the basis of this mathematical way of thinking in art is in reason, its dynamic content is able to launch us on astral flights which soar into unknown and still uncharted regions of the imagination.
Tried to figure a logic of it, but the dots had collapsed like marbles and that had been good
Since the age of six I have had the habit of sketching forms of objects. Although from about fifty I have often published my pictorial works, before the seventieth year none is worthy.
During the late afternoon and early evening there is a specific dimension that interconnects with our physical world. This particular dimension can be visualized as series of horizontally shaped geometric planes that extent out into infinity.
I was inspired by [Michelangelo] Antonioni's Red Desert - very big and moody.
Few topographical boundaries can rival the frontiers of the mind.
Looks like a sand pile my kids have been playing in for a long time - it's all beat up - no definition - just a lot of bumps and holes.
The pyramid shape is said to hold many secrets and amazing properties. One of them is a sense of wonder.
Flowers construct the most charming geometries: circles like the sun, ovals, cones, curlicues and a variety of triangular eccentricities, which when viewed with the eye of a magnifying glass seem a Lilliputian frieze of psychedelic silhouettes.
If I were a pattern, I would be the pattern of paint that a bird would make if you dipped a bird's wings in watercolour and then set the bird loose inside a paper lantern. I'm pretty sure that's it!
What are those glorious dots? Those, dear one, are forget-me-nots!
Life forms illogical patterns. It is haphazard and full of beauties which I try to catch as they fly by, for who knows whether any of them will ever return?
The universe is a brightly colored blur of fast-moving shapes augmented by deafening noises.
staggered on together. A dark shape
There is no closed figure in nature. Every shape participates with another. No one thing is independent of another, and one thing rhymes with another, and light gives them shape.
Contour, negative space, and measurements. You just learned the three important lessons in drawing and saved yourself four years of art school.
like a patchwork of twisting tunnels and
If the world was an etch-a-sketch, glaciers are the big shake.
When a chess player looks at the board, he does not see a static mosaic, a 'still life', but a magnetic field of forces, charged with energy - as Faraday saw the stresses surrounding magnets and currents as curves in space; or as Van Gogh saw vortices in the skies of Provence.
Math is sometimes called the science of patterns.
Such is the strength of art, rough things to shape.
Anyone who has chanced like me to roam through desolate mountains and studied at length their fantastic shapes and drunk the invigorating air of their valleys can understand why I wish to describe and depict these magic scenes for others.
The dot that became a speck that became a blob that became a figure that became a boy
The flakes stuck in my eyelashes. They fell on my sleeves. Huge. Flowers and stars. They fell onto each other, held their shapes, became small piles of perfect asterisks and blooms tumbled together in their discrete geometries like children's blocks.
What is art but the life upon the larger scale, the higher. When, graduating up in a spiral line of still expanding and ascending gyres, it pushes toward the intense significance of all things, hungry for the infinite?
How massively the mountains stand, while low to the ground the sand blows. The sand blows on and on. And then there are no mountains, none at all, the sand has kissed and whispered them away. And still, the sand blows on.
A person's irregular surfaces are what make us interesting.
Life is merely a fracas on an unmapped terrain, and the universe a geometry stricken with epilepsy.
Have you ever observed a humming-bird moving about in an aerial dance among the flowers
a living prismatic gem that changes its colour with every change of position.
The Analytical Engine weaves algebraic patterns, just as the Jacquard loom weaves flowers and leaves.
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.
The mathematician is fascinated with the marvelous beauty of the forms he constructs, and in their beauty he finds everlasting truth.
But we must not underestimate the potency of the mathematical process of abstraction. A surprising variety of things happen to have both magnitude and direction and to combine according to the parallelogram law; and many of them are not at all reminiscent of journeys.
I like to make an image that is so simple you can't avoid it, and so complicated you can't figure it out.