Two Dimensional Quotes & Sayings

In my career, which has been fairly two-dimensional, people make decisions based on your persona. — Erin O'Connor

It's like we're strands of wire intertwined in a great cable that runs through a slot ... Most people lead two-dimensional lives. All they can see is the face of the slot, a cross section, so that the wires look like a mass of separate little circles looking bigger or smaller according to how close you are. They don't
they can't see that these 'circles' are just cross sections of wires that run backward and forward infinitely and that there is a great surge through the whole cable and that anybody who is truly into the full bare essence of the thing ... — Tom Wolfe

Many objects of our three-dimensional perceptual world are not only chiral but appear in nature in two versions, related at least ideally, as a chiral object and its mirror image. — Vladimir Prelog

I don't like two-dimensional characters who are obviously villains from the moment they walk on stage. — Kevin Whately

A TWO-DIMENSIONAL SURFACE WITHOUT ANY ARTICULATION IS A DEAD EXPERIENCE — John Baldessari

It's a two-dimensional gig being a singer, and you can get lost in your own tedium and repetition. — Robert Plant

Environmental planning has been too scientific, too man-centred, too past-fixated and two-dimensional. — Tom Turner

One thing is sure - we have to transform the three-dimensional world of objects into the two-dimensional world of the canvas ... To transform three into two dimensions is for me an experience full of magic in which I glimpse for a moment that fourth dimension which my whole being is seeking. — Max Beckmann

How much did you read?' Sophia said.
'Not much. I found your characters a bit two-dimensional. — Nathan M. Farrugia

There's no particular role that comes to mind that I'd like to take on, but for me, it's about playing interesting characters and not just two-dimensional ones. — Michelle Dockery

I know you can't. Because you're too kind. It's very simple. The attacker must first transform themselves into life forms that can survive in a low-dimensional universe. For instance, a four-dimensional species can transform itself into three-dimensional creatures, or a three-dimensional species can transform itself into two-dimensional life. After the entire civilization has entered a lower dimension, they can initiate a dimensional strike against the enemy without concern for the consequences." Cheng — Liu Cixin

I think that two-dimensional film will always be here to stay because it always has its place, but 3D does too. — Cary Elwes

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. — Sean Booth

I like photography as a recording device. It's the best possible two-dimensional representation of 3D living things that we have. — Andrew Zuckerman

To grasp the essence of chirality, it is instructive to withdraw for a moment from the familiar three-dimensional world into a two-dimensional one, into a plane, and enquire what chirality means there. — Vladimir Prelog

I think not in two or three dimensional terms but in five dimensional terms when I consider a novel. There's height, width, and depth, there's the time factor, and then there's the factor which I call the cerebral factor of the reader, the way the reader adjusts to all the other dimensions, which is the fifth dimension. — Richard Grossman

In the shooter hypothesis, a good marksman shoots at a target, creating a hole every ten centimeters. Now suppose the surface of the target is inhabited by intelligent, two-dimensional creatures. Their scientists, after observing the universe, discover a great law: "There exists a hole in the universe every ten centimeters." They have mistaken the result of the marksman's momentary whim for an unalterable law of the universe. The farmer hypothesis, on the other hand, has the flavor of a horror story: Every morning on a turkey farm, the farmer comes to feed the turkeys. A scientist turkey, having observed this pattern to hold without change for almost a year, makes the following discovery: "Every morning at eleven, food arrives." On the morning of Thanksgiving, the scientist announces this law to the other turkeys. But that morning at eleven, food doesn't arrive; instead, the farmer comes and kills the entire flock. — Liu Cixin

To me, human existence exists on a multiple level, not just on a two-dimensional level, not just having to be identified with what you do and what you say. — Ornette Coleman

She looks like she's at peace," I hear, over and over. Or "She looks just like herself, don't she?" Neither one of these is true. She looks like an illustration in a book, two-dimensional, when she ought to be leaping off the page. When — Jodi Picoult

The gilding holds the eye just long enough to let God enter the soul. The two-dimensional image does not require interpretation, and therefore doesn't stand between you and God the way it does in three-dimensional western art. — Robert C. Yeager

If I was feeling depressed or frustrated about my lot in life, all I had to do was tap the Player One button, and my worries would instantly slip away as my mind focused itself on the relentless pixelated onslaught on the screen in front of me. There, inside the game's two-dimensional universe, life was simple: It's just you against the machine. Move with your left hand, shoot with your right, and try to stay alive as long as possible. — Ernest Cline

Each electron wants the whole of three-dimensional space for its waves; so Schrodinger generously allows three dimensions for each of them. For two electrons he requires a six-dimensional sub-aether. He then successfully applies his method on the same lines as before. I think you will see now that Schrodinger has given us what seemed to be a comprehensible physical picture only to snatch it away again. His sub-aether does not exist in physical space; it is in a 'configuration space' imagined by the mathematician for the purpose of solving his problems, and imagined afresh with different numbers of dimensions according to the problem proposed. It was only an accident that in the earliest problems considered the configuration space had a close correspondence with physical space, suggesting some degree of objective reality of the waves. Schrodinger's wave mechanics is not a physical theory but a dodge - and a very good dodge too. — Arthur Stanley Eddington

Our leading candidate for a theory of everything is known as M-theory. It grew from a merger of the two seemingly different approaches: 11-dimensional supergravity and 10-dimensional superstring theory. Could this be the final theory of everything? — New Scientist

To me, the art of movies is to take a two-dimensional image and give the illusion of depth. — William Friedkin

Remarkably, studies of visual perception have found that two-dimensional images projected onto the retina only achieve full dimensionality as a result of our perception: we infer the third dimension of depth. Sadly, though, as the urgency to expedite all communicative transactions usurps out customary patterns of exchange, perception is accelerated as well. There does not seem to be a great deal of time left over to infer
or interpret, or imagine
much of anything at all. In the end, of course, there is nothing real about this at all, except for our propensity to let it happen. — Jessica Helfand

You know how on a flat surface, which has only two dimensions, we can represent a figure of a three-dimensional solid, and similarly they think that by models of three dimensions they could represent one of four - if they could master the perspective of the thing. — H.G.Wells

A city finds its life through the humans who inhabit it. When they go, what is truly left? Just silent stones, witnesses to the history but mute in its telling, remaining thus while slowly turning to rubble. It saddens me that life's moments are thus lost, that one cannot experience the past in the same rich vibrancy as the present. You live the moments and then relegate them to memory, now just two-dimensional shadows, pictures without depth, stripped of their purest emotion, their tactile connections no longer accessible. You try to recall, but can bring back only a fraction of the event lived. The rest is gone, never to be as full and complete as it was in that one place at that one time. That was what I thought as I studied these stone remains; that all the tangible things experienced here abide somewhere in time, but can never again be wholly re-animated, now just ghosts imbedded in the crumbling walls and in the fading memories of those who once lived here. — Michael Puttonen

Using two-dimensional lenses to perceive the multi-faceted world can limit your ability to observe the world more objectively. — Pearl Zhu

I've played lots of villains in my time and I think the reason they've been so successful is that they're not two-dimensional. They're not black and white. That's the gig. — Mark Strong

The challenge is quite formidable if you spell it out explicitly: artists must look at a three-dimensional scene with their two-dimensional retinas and then generate a two-dimensional painting that appears three-dimensional to viewers who look at it with their two-dimensional retinas. — Margaret S. Livingstone

If you win elections on the theory that government is always bad and will mess up a two-car parade ... a real change-maker represents a real threat. So your only option is to create a cartoon, a cartoon alternative, then run against the cartoon. Cartoons are two-dimensional; they're easy to absorb. — William J. Clinton

Staring at screens is perhaps unavoidable, but the two-dimensional world makes little sense unless we can draw upon a mental armory that we have developed somewhere else. When we repeat the same words and phrases that appear in the daily media, we accept the absence of a larger framework. To have such a framework requires more concepts, and having more concepts requires reading. So get the screens out of your room and surround yourself with books. The characters in Orwell's and Bradbury's books could not do this - but we still can. What — Timothy Snyder

I want to be respected as a writer and, like I said, I was really sick of people saying I was a two dimensional character. I want more to my legacy, I guess. — Cakes Da Killa

I do try to speak of positive things. I still try to, like, present two sides of the story, and I do try to relate to life in a 360 degree and not be one-dimensional. But by all means, manage expectations. — Q-Tip

Before Jason Bourne, before Jack Ryan, there was Bond, James Bond, the original two-dimensional, world-saving secret agent. — Alex Berenson

I'm very interested in how we read things, especially the link between seeing two-dimensional and three-dimensional images, because of how I read. — Chuck Close

She was so beautiful, you see. Not in any two-dimensional sense: she wasn't young, she wasn't innocent, she didn't have that pristine symmetry so favored by ad-men and photographers. Her face was plainly that of a woman in her early forties: it had been used to laugh and cry, and usage leaves its marks. But she had a power to transform herself, in the subtlest way, making that face as various as the sky. — Clive Barker

We have one real candidate for changing the rules; this is string theory. In string theory the one-dimensional trajectory of a particle in spacetime is replaced by a two-dimensional orbit of a string. Such strings can be of any size, but under ordinary circumstances they are quite tiny, ... a value determined by comparing the predictions of the theory for Newton's constant and the fine structure constant to experimental values. — Edward Witten

I feel as though I am trying to describe a three-dimensional experience while living in a two-dimension world. The appropriate words, descriptions, and concepts don't even exist in our current language. I have subsequently read the accounts of other people's near-death experiences and their portrayals of heaven and I am able to see the same limitations in their descriptions and vocabulary that I see in my own. — Mary C. Neal

The Cop. She has a steel grid in front of her mind, and for anything in the outer world to reach her it first has to squeeze through the bars of that grid. Information has to be broken into small cubes; information and data packaged in two-dimensional squares are preferable to three-dimensional cubes however: they pass through the grid more quickly and once they reach the Cop's mind take up less space there. — Russell Banks

And carefully ... tenderly ... taking my time with every brushstroke, I sketch the curve of her neck, apply the crimson of her lips, form her face into a two-dimensional tribute to her beauty. — Amy Plum

When you're in your early 20s, a lot of characters can be one or two dimensional. You want a role to substantiate the drama, as opposed to actually analyzing the psychology of a human being. That's what drew me to acting, particularly the contradictions in people. — Tom Hughes

That is why historians surprise me. They seem to have no talent for the likeliness of any situation. They see history like a peepshow; with two-dimensional figures against a distant background. — Josephine Tey

I love the fact that there are more and more young people out there who still want to make a flat two-dimensional surface come alive with three dimensional magic. — Burton Silverman

A photograph is what it appears to be. Already far from 'reality' because of its silence, lack of movement, two-dimensional ity and isolation from everything outside the rectangle, it can create another reality, an emotion that did not exist in the 'true' situation. It's the tension between these two realities that lends it strength. — Richard Kalvar

Getting tired of sitting, staring at my computer screen, day after day, where everyone is two-dimensional, reduced to an avatar photo, status updates, or maybe some carefully curated vacation photos. There's something exhausting about that after a while. I found myself wanting to hear voices. — Brad Listi

The danger with playing someone tough is that the character can become two-dimensional and mean and nobody likes her. — Rebecca Mader

I'm also old ... and my own gift for writing fantasy grows out of very literal-minded, pragmatic soil: the things I do when I'm not telling stories have always been pretty three-dimensional. I used to say that the only strong attraction reality ever had for me was horses and horseback riding, but I've also been cooking and going for long walks since I was a kid (yes, the two are related), and I'm getting even more three dimensionally biased as I get older - gardening, bell ringing ... piano playing ... And the stories I seem to need to write seem to need that kind of nourishment from me - how you feed your story telling varies from writer to writer. My story-telling faculty needs real-world fresh air and experiences that create calluses (and sometimes bruises). — Robin McKinley

The Grid makes the history of architecture and all previous lessons of urbanism irrelevant. It forces Manhattan's builders to develop a new system of formal values, to invent strategies for the distinction of one block from another. The Grid's two-dimensional discipline also creates undreamt-of freedom for three-dimensional anarchy. The Grid defines a new balance between control and de-control in which the city can be at the same time ordered and fluid, a metropolis of rigid chaos. — Rem Koolhaas

I once spent a weekend on Earth,
With two men (of science; and god)
One man convinced me I did not exist,
And the other that I was a fraud.
In both men I saw the same reason,
In bothmen i saw the same light,
So I left for another dimension,
Assuming that both men were right."

- The Alien

From the novel 'Ineffable — C. Sean McGee

What is a body that casts no shadow? Nothing, a formlessness, two-dimensional, a comic-strip character. If I deny my own profound relationship with evil I deny my own reality. I cannot do, or make; I can only undo, unmake. — Ursula K. Le Guin

When you shoot a film, when it was film, there used to be rushes and normally a director would look at them the next day. All directors look at the rushes, except for Fellini. I asked him why he didn't and said, "Because it interrupts my fantasy." What he was trying to say was that he had a three-dimensional, vibrant, living, volatile fantasy going on in his head, and when he looked at rushes, they were two-dimensional and they killed it. — Donald Sutherland

the three-dimensional world of ordinary experience - the universe filled with galaxies, stars, planets, houses, boulders, and people - is a hologram, an image of reality coded on a distant two-dimensional surface. This new law of physics, known as the Holographic Principle, asserts that everything inside a region of space can be described by bits of information restricted to the boundary. — Leonard Susskind

You can looking at that glass of water, not as a glass of water, but as paint on a two-dimensional surface. It's not just a question of looking, but of doing, in relation to this, in relation to that, in relation to the space between things. — Malcolm Morley

Painting does what we cannot do - it brings a three-dimensional world into a two-dimensional plane. — Chuck Jones

Behold yon miserable creature. That Point is a Being like ourselves, but confined to the non-dimensional Gulf. He is himself his own World, his own Universe; of any other than himself he can form no conception; he knows not Length, nor Breadth, nor Height, for he has had no experience of them; he has no cognizance even of the number Two; nor has he a thought of Plurality; for he is himself his One and All, being really Nothing. Yet mark his perfect self-contentment, and hence learn his lesson, that to be self-contented is to be vile and ignorant, and that to aspire is better than to be blindly and impotently happy. Now listen. — Edwin A. Abbott

Between takeoff and landing, we are each in suspended animation, a pause between chapters of our lives. When we stare out the window into the sun's glare, the landscape is only a flat projection with mountain ranges reduced to wrinkles in the continental skin. Oblivious to our passage overhead, other stories are unfolding beneath us. Blackberries ripen in the August sun, a woman packs a suitcase and hesitates at her doorway, a letter is opened and the most surprising photograph slides from between the pages. But we are moving too fast and we are too far away; all the stories escape us, except our own. When I turn away from the window, the stories recede into the two-dimensional map of green and brown below. Like a trout disappearing into the shade of an overhanging bank, leaving you staring at the flat surface of the water and wondering if you saw it at all. — Robin Wall Kimmerer

The ekpyrotic process begins far in the indefinite past with a pair of flat empty branes sitting parallel to each other in a warped five-dimensional space ... The two branes, which form the walls of the fifth dimension, could have popped out of nothingness as a quantum fluctuation in the even more distant past and then drifted apart. — Bill Bryson

Rembrandt is not a painter at all. He is a creator, who creates his beings, three dimensional living beings, on a two-dimensional flat surface which acts as a mute, and enforces silence on them. — Sylvia Townsend Warner

I'm interested in color belonging to something, where it takes on a completely new kind of vibrancy, rather than being what you would call straight abstract paintings. And anyway it is so much more exciting trying to find out about the three dimensions of color and sticking it down on a two dimensional surface. — Euan Uglow

If I lost weight, I'd be two-dimensional! — Paul Walker

The ultimate way of Being lies beyond all contradictory pairs of opposites
with which our two dimensional thinking mind operates.
As soon as we are successful in silencing the restless activity of the thinking mind
and give a chance to intuition, the pure all embracing spirit in us will manifest effortlessly. — Anagarika Govinda

I am my father's only child. The world knows a two-dimensional Cary Grant. As charming a star and as remarkable a gentleman as he was, he was still a more thoughtful and loving father. — Jennifer Grant

There's always a pattern in order to make a thing, but the starting point must be something I've never seen before. It's not two-dimensional, but it's like a sample. I work with patterns like a sculptor. I try to get [the team] not to work on a body, [but] to work on a free space, on a table. The work is basically on flat surfaces. — Rei Kawakubo

Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with. — Marcel Duchamp

I was in love. With a two-dimensional object. A mute in love with a painting. Lovely. Just lovely. — Leanna Renee Hieber

I find the surface of a photograph a thing of beauty in and of itself, and it is this surface that makes a photograph unique relative to other two-dimensional media. — John Sexton

In the long run, you see, none of that matters.
I've seen Heaven, Dowling. And it's not a place where you exercise any power.
In the long run, we are all three-dimensional side-effects of a two-dimensional universe existing in a multidimensional stack. — Warren Ellis

There is nothing about resilience that I can say that my father did not first utter silently in eighteen years of living inside a two-dimensional cutout of himself. — Elizabeth Edwards

My face lends itself to austere characters, and unless they're two-dimensional, I will do them. Any actor will tell you that an interesting villain is much more interesting to play. — Charles Dance

Our nano-quadrotor robots are made to be as lightweight as possible: less than a fifth of a pound and palm-sized. They can do an aerial backflip in half a second, accelerate at two Gs, and fly rotor blade to rotor blade in three-dimensional formations - and they do all this autonomously. — Vijay Kumar

The peculiarity of sculpture is that it creates a three-dimensional object in space. Painting may strive to give on a two-dimensional plane, the illusion of space, but it is space itself as a perceived quantity that becomes the peculiar concern of the sculptor. We may say that for the painter space is a luxury; for the sculptor it is a necessity. — Herbert Read

Actresses talking about characters they've played often use the phrase "strong woman", which kind of irks me. Firstly, the description appears to be reserved for two kinds of female: the gun-toting chick in tiny-vest-and-shorts combo, or the tough-talking businesswoman who secretly longs for a man to bring out her softer side. So obviously, our idea of strength is pretty narrow and one-dimensional. Secondly, why isn't Brad Pitt ever asked about how much he enjoys playing a "strong man"? Is it automatically assumed that men's roles will be complex and interesting? — Rosie Blythe

And, I think: I am but one more drop in the great sea of matter, defined, with the ability to realize my existence. Of the millions, I, too, was potentially everything at birth. I, too, was stunted, narrowed, warped, by my environment, my outcroppings of heredity. I, too, will find a set of beliefs, of standards to live by, yet the very satisfaction of finding them will be marred by the fact that I have reached the ultimate in shallow, two-dimensional living - a set of values. — Sylvia Plath

When I went to Africa I think that was when I really found a way to deal with what I had recently discovered; in two-dimensional terms, at least. — Martin Puryear

I kept thinking, as I was telling Didi, that somehow what was in my head
in my memory, in my thoughts
was not being translated fully into the world. I felt as though three-dimensional people and events were becoming two-dimensional in the telling, and as though they were smaller as well as flatter, that they were just less for being spoken. What was missing was the intense emotion that I felt, which, like water or youth itself, buoyed these small insignificant encounters into all that they meant to me. There they were, shrinking before my eyes, shrinking into my words. Anything that can be said, can be said clearly. Anything that cannot be said clearly, cannot be said. — Claire Messud

Imagine fish swimming in a shallow pond, just below the lily pads, thinking that their "universe" is only two-dimensional. Our three-dimensional world may be beyond their ken. But there is a way in which they can detect the presence of the third dimension. If it rains, they can clearly see the shadows of ripples traveling along the surface of the pond. Similarly, we cannot see the fifth dimension, but ripples in the fifth dimension appear to us as light. — Michio Kaku

Interfacing street sculpture in public space creates an installation environment that turns regular space into art space. Signs and people and everything around a street sculpture-they all become part of it. A two-dimensional work, being confined to surfaces, doesn't have as much of a capacity. — Mark Jenkins

We might be the holographic image of a two-dimensional structure. — Brian Greene

'I Am Number Four' definitely borrows from a whole bunch of genres and has a whole bunch of different themes throughout. And I think if it was just one stale two-dimensional thing then it would be kind of boring. And I think they did a fantastic job. — Callan McAuliffe

All of us tend to look at photographs as if we are simply gazing through a two-dimensional window onto some outside world. This is almost a perceptual necessity; in order to see what the photograph is of, we must first repress our consciousness of what the photograph is. — Geoffrey Batchen

Painting someone's portrait is, of course, an impossible task. What an absurd idea to try and distil a human being, the most complex organism on the planet, into flicks, washes, and blobs of paint on a two-dimensional surface. — David Cobley

In all human cultures, the social world has two clear dimensions: a horizontal dimension of closeness or liking, and a vertical one of hierarchy or status ... Now imagine yourself happily moving around your two-dimensional social world, a flat land where the X axis is closeness and the Y axis is hierarchy. Then one day, you see a person do something extraordinary, or you have an overwhelming experience of natural beauty , and you feel lifted "up." But it is not the "up" of hierarchy, it's some other kind of elevation. This chapter is about that vertical movement. My claim is that the human mind perceives a third dimension, a specifically moral dimension that I will call "divinity. — Jonathan Haidt

It had become one of the defining truths of my life that, no matter how I tried to keep them flattened, two-dimensional, jailed in paper and ink, there would always be stories that refused to stay bound inside books. It was never just a story. — Ransom Riggs

There are many things one thinks about in a painting. Often, it's how to handle your chosen medium and how to best reveal the light in a three-dimensional form on a two-dimensional surface. — Janice Tanton

What then is the difference between film and theatre? Or should one not rather ask: what are the differences? Let us be content wi th the reply that the screen has two dimensions and the stage three, that the screen presents photographs and the stage living actors. All the subtler differences stem from these. The camera can show us all sorts of things
from close-ups of insects to panoramas of prairies
which the stage cannot even suggest, and it can move from one to another with much more dexterity than any conceivable stage. The stage, on the other hand, can be revealed in the unsurpassable beauty of three-dimensional shapes, and the stage actor establishes between himself and his audience a contact real as electricity. — Eric Bentley

Life is wonder, endless, ceaseless wonder. If your energy level is low, then everything is gray, two-dimensional, boring, frustrating, and unhappy. — Frederick Lenz

Today they have to be three-dimensional. Technology's changed, the communication, the marketing and advertising community supports beautiful girls that can be articulate and smart. And also Anna Wintour doesn't want to sit next to some girl who can't say two words. — Michael Flutie

If a shadow is a two-dimensional projection of the three-dimensional world, then the three-dimensional world as we know it is the projection of the four-dimensional Universe. — Marcel Duchamp

Shakespeare villains were extraordinary. Macbeth, Iago, Richard III ... They're so richly layered that a British actor would find it almost impossible to create a two-dimensional villain, if he's explored in his early years or continues to explore his Shakespearean heritage. You can almost not judge them, if they're played really well. — Ben Kingsley

The joy of painting lies precisely in the challenge of memory and the challenge of translation from the lived experience to the two-dimensional or three-dimensional symbol. — Paul Kane

The ontological concept of truth is in the centre of a logic which may serve as a model of pre- technological rationality. It is the rationality of a two-dimensional universe of discourse which, contrasts with the of thought and behavior that develop in the execution of the technological project. — Herbert Marcuse

...I am the two-dimensional one in a 3-D family. — Jandy Nelson

Even when I'm writing animation, I think of them as real people. I think of them as completely three-dimensional beings, even if it's a talking teapot. I don't think of them as one-dimensional drawn characters running around. Maybe that's why, to me, there's really no difference in writing the two - animation versus live action. — Linda Woolverton

Most architects think in drawings, or did think in drawings; today, they think on the computer monitor. I always tried to think three dimensionally. The interior eye of the brain should be not flat but three dimensional so that everything is an object in space. We are not living in a two-dimensional world. — Frei Otto

I don't like old friends talking to me like I'm a pop star, cos it makes me feel like I'm becoming two-dimensional. — Thom Yorke

Frankly, I fail to see how going for a six-month, thousand-mile walk through deserts and mountains can be judged less real than spending six months working eight hours a day, five days a week, in order to earn enough money to be able to come back to a comfortable home in the evening and sit in front of a TV screen and watch the two-dimensional image of some guy talking about a book he has written on a six-month, thousand-mile walk through deserts and mountains. — Colin Fletcher

No actor can play a villain if they don't sympathise with him or her - otherwise the character just becomes a two-dimensional caricature. — Katie McGrath

with you, the sense i have lost my place in a book
or simply lost - misplaced the memory
which isn't in the last place where I looked.
a thought that the clouds don't move - that it is we
who thunder past - there it is! an old vacation,
a train ride - sense of immobility.
as sky and forest scroll past in relation,
we are not moved, pretend to love the view,
resort at length to scripted conversation
by a poet-turned-screenwriter who
didn't want this job, career gone grossly wrong
and now drafts action film scripts wholly two-
dimensional unless you choose to don
the 3d glasses that do not stay on - — Joshua Ip

In Euclid's Elements we meet the concept which later plays a significant role in the development of science. The concept is called the "division of a line in extreme and mean ratio" (DEMR). ...the concept occurs in two forms. The first is formulated in Proposition 11 of Book II. ...why did Euclid introduce different forms... which we can find in Books II, VI and XIII? ...Only three types of regular polygons can be faces of the Platonic solids: the equilateral triangle... the square... and the regular pentagon. In order to construct the Platonic solids... we must build the two-dimensional faces... It is for this purpose that Euclid introduced the golden ratio... (Proposition II.11)... By using the "golden" isosceles triangle...we can construct the regular pentagon... Then only one step remains to construct the dodecahedron... which for Plato is one of the most important regular polyhedra symbolizing the universal harmony in his cosmology. — Alexey Stakhov