Geometric Quotes

One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.

Antarctic symphony has a geometric relationship to the landscape. It's saying that this landscape and the minimal kind of, you know I'm talking like seeing ice, is visually kind of eerily minimal.

I believe the geometric proportion served the creator as an idea when He introduced the continuous generation of similar objects from similar objects.

I use geometric and mathematical ideas to organize material, but those are tools. The purpose of the work is not to expose that at all, but to arrive at some kind of expressiveness.

But who shall parcel out His intellect by geometric rules, Split like a province into round and square?

Much of what I make is geometric, and has a kind of almost mathematical logic to the form.

My forms are geometric, but they don't interact in a geometric sense. They're just forms that exist everywhere, even if you don't see them.

There is geometry in the humming of the strings, there is music in the spacing of the spheres.

The only thing that I could get with chance, and I never was able to use it, was that I would end up with something quite geometric or the spirit that I was interested in, indulging in, was gone.

I always found it satisfying that gravity was described by Einstein's geometric theory of general relativity.

We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing but also by hearing, by feeling, by our sense of body motion and position. Our geometric and spatial skills are highly trainable, just as in other high-performance activities. In mathematics we can use the modules of our minds in flexible ways - even metaphorically. A whole-mind approach to mathematical thinking is vastly more effective than the common approach that manipulates only symbols.

Geometric shapes hold an energy pattern, and scientists did some experiments which say certain geometric shapes can affect matter around them. It's simply because when a human looks at a shape, they instantly receive energy from their brain.

The effectiveness of work increases according to geometric progression if there are no interruptions.

The people who see the population explosion in the Malthusian way - as a geometric progression - forget that population growth is not a biological issue. People are not increasing in numbers out of stupidity and ignorance. Population growth is an ecological phenomenon linked very intimately to other issues, such as the usurpation of the resources which allow people to live.

I'd make an educated guess that 20 to 25 percent of the taxable property in the U.S. is Church-owned.In a recent book, Church Wealth and Business Income, it was estimated that this property -all of it tax-exempt -is worth upwards of 80 billion dollars. I know that's a fantastic, unbelievable figure, but there's every reason to believe that it's on the conservative side; and this amount is increasing yearly at a geometric rate.

As you know, Bergson pointed out that there is no such thing as disorder but rather two sorts of order, geometric and living.

Modern man lives more and more in a preponderantly geometric order. All human creation mechanical or industrial is dependent upon geometric intentions.

There is a deep connection between Bernoulli's dictum and John Kelly's 1956 publication. It turns out that Kelly's prescription can be restated as this simple rule: When faced with a choice of wagers or investments, choose the one with the highest geometric means of outcomes.

About Archimedes one remembers that he did strange things: he ran around naked shouting 'Heureka!', plunged crowns into water, drew geometric figures as he was about to be killed, and so on. One ends up forgetting he was a scientist of whom we still have many writings.

There is no end to the beauty for the person who is aware. Even the cracks between the sidewalk contain geometric patterns of amazing beauty.

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.

For nine years I worked to change what was hairdressing then into a geometric art form with color, perm without setting which had never been done before.

When I write a song, I see a tunnel, and then the chorus is an open space, or the bassline is doing this shape. I see songs as a more of a geometric, spacial experience.

Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define.

Some songs seem to achieve the quality of a geometric object - a ball, box, or cone - and I don't mess with 'em.

We all share beauty. It strikes us indiscriminately. There is no end to the beauty for the person who is aware. Even the cracks between the sidewalk contain geometric patterns of amazing beauty. If we take pictures of them and blow up the photographs, we realize we walk on beauty every day, even when things seem ugly around us.

On the geometric level, we see certain physical elements repeated endlessly, combined in an almost endless variety of combinations. It is puzzling to realize that the elements, which seem like elementary building blocks, keep varying, and are different every time that they occur. If the elements are different every time that they occur, evidently then, it cannot be the elements themselves which are repeating in a building or town; these so-called elements cannot be the ultimate "atomic" constituents of space.

I need geometry to set the grammar of the image expressive language . The structural skeleton, the composition and the geometric layout provide a perspective from which one can read the image; otherwise we would do what Dadaists did when they put words in a little bag and then took them out at random in order to compose a poem.

I think when a man first discovers that two and two is four, there is 'beauty' in that; and we can see why. But if people stand and look at the moon and one says 'I think it's just beautiful tonight' and the other says 'The moon makes me feel awful' we are both 'clear'. A geometric shape - we know why we like it; and an unreasonable shape; it has a certain mystery that we recognize as real; but it is difficult to put these things in an objective way.

Every place is given its character by certain patterns of events that keep on happening there. These patterns of events are locked in with certain geometric patterns in the space. Indeed, each building and each town is ultimately made out of these patterns in the space, and out of nothing else; they are the atoms and molecules from which a building or a town is made.

The moth settled onto the curtain and sat still. It was an astonishing creature, with black and white wings patterned in geometric shapes, scarlet underwings, and a fat white body with black spots running down it like a snowman's coal buttons. No human eye had looked at this moth before; no one would see its friends. So much detail goes unnoticed in the world.

Within the human consciousness is the unique ability to perceive the transparency between absolute, permanent relationships, contained in the insubstantial forms of a geometric order, and the transitory, changing forms of our actual world. The content of our experience results from an immaterial, abstract, geometric architecture which is composed of harmonic waves of energy, nodes of relationality, melodic forms springing forth from the eternal realm of geometric proportion.

It snowed right before Jack stopped talking to Hazel, fluffy white flakes big enough to show their crystal architecture, like perfect geometric poems.

Architecture is the triumph of human imagination over materials, methods, and men, to put man into possession of his own Earth. It is at least the geometric pattern of things, of life, of the human and social world. It is at best that magic framework of reality that we sometimes touch upon when we use the word order.

The issues are by some geometric number - 100 or 200 or 500 - times more complicated today than we appreciated them to be when Franklin Roosevelt was around.

In geometric and physical applications, it always turns out that a quantity is characterized not only by its tensor order, but also by symmetry.

Rosemary and Guy Woodhouse had signed a lease on a five-room apartment in a geometric white house on First Avenue when they received word, from a woman named Mrs. Cortez, that a four-room apartment in the Bramford had become available.

Now ... the basic principle of modern mathematics is to achieve a complete fusion [of] 'geometric' and 'analytic' ideas.

It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.

In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.

So all night long the storm roared on: The morning broke without a sun; In tiny spherule traced with lines Of Nature’s geometric signs, In starry flake, and pellicle, All day the hoary meteor fell; And, when the second morning shone, We looked upon a world unknown, On nothing we could call our own. Around the glistening wonder bent The blue walls of the firmament, No cloud above, no earth below,— A universe of sky and snow!

Whoever thinks algebra is a trick in obtaining unknowns has thought it in vain. No attention should be paid to the fact that algebra and geometry are different in appearance. Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

Algebras (jabbre and maqabeleh) are geometric facts which are proved by propositions five and six of Book two of Elements.

...the feeling of mathematical beauty, of the harmony of numbers and of forms, of geometric elegance. It is a genuinely aesthetic feeling, which all mathematicians know

What does it mean when you hook up your work to that of a late modernist giant working in a reductive vein - Ad Reinhardt, Agnes Martin, Robert Ryman, Ellsworth Kelly, Frank Stella, or Donald Judd, for example - like a caboose? I am not talking about engaging directly with another artist's work or ideas, but of perpetuating a look or, in the case of Wade Guyton, the various monochromatic, striped and geometric surfaces we associate with Minimalism.

Organic planning does not begin with a preconceived goal; it moves from need to need, from opportunity to opportunity, in a series of adaptations that themselves become increasingly coherent and purposeful, so that they generate a complex final design, hardly less unified than a pre-formed geometric pattern.

Ensor sees with his imagination, but his vision is perfectly accurate, of an almost geometric precision. He is one of the very few who can really see. Like you, he has an obsession with masks; he is a seer as you and I are. The common herd, of course thinks that he is mad.*****************You shall see what sort of man Ensor is, and what a marvellous insight he has into the invisible realm where our vices are created... those vices for which our faces make masks.

Keep it simple: In general, interfaces should use simple geometric forms, minimal contours, and a restricted color palette comprised primarily of less-saturated or neutral colors balanced with a few high contrast accent colors that emphasize important information. Typography should not vary widely in an interface.

New York... is a city of geometric heights, a petrified desert of grids and lattices, an inferno of greenish abstraction under a flat sky, a real Metropolis from which man is absent by his very accumulation.

These abnormal aspects included the shapes of UFOs and their behavior. Most of the UFOs seen in the daytime were said to have had simple geometric shapes-discs, ovals, spheres, cylinders-and surfaces that looked like metal. Such shapes are not only nonexistent among known aircraft, but contrary to all known theories of flight, in most cases offering control and performance disadvantages rather than advantages.