Top 90 Geometric Quotes & Sayings - Page 2

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.

In a way, composing on the melodic level is an expression of a melodic truth, almost like a geometric truth. If it has clarity, other people will recognize it. There's no way of isolating it in a gallery on a white wall and saying, "This is a work of art. This is a mathematical proof."

Of course, I could never suggest that only poor people are misogynistic; too many rich folk are just as hateful of women as any poor person might be. I don't know if social problems are only circular; perhaps other geometric metaphors might better describe the triangular effects of social vulnerability, political oppression, and racial disadvantage. I think you're right - we've got to focus on both analyses and solutions. And sometimes, an adequate analysis goes far along in suggesting a suitable solution.

... if one were to refuse to have direct, geometric, intuitive insights, if one were reduced to pure logic, which does not permit a choice among every thing that is exact, one would hardly think of many questions, and certain notions ... would escape us completely.

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.

The regular division of the plane into congruent figures evoking an association in the observer with a familiar natural object is one of these hobbies or problems...I have embarked on this geometric problem again and again over the years, trying to throw light on different aspects each time. I cannot imagine what my life would be like if this problem had never occurred to me; one might say that I am head over heels in love with it, and I still don't know why.

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.

The fashion business got boring. I was working with big companies, but the minute it became too formulaic, I got bored with it. I wanted to do a creative space where I could just make stuff - kind of like an atelier, where I could collaborate with other artists, drape geometric shapes on the body, make cushion covers, or whatever.

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.

Truly, learning appears to be a reverse geometric progression with experiences at one hour, one day, one month or one year dramatically more influential and formative than later experiences. As has often been quoted, 85% of brain development takes place by age 3, and yet we spend only 4% of our educational dollars by that point.

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.

All of my books have an internal geometric shape, and once I've seen the shape, then the writing gets much faster and easier because I now do know where we're going, and I know what's motivating these people, why they were here, and therefore, I have some good idea how they got there, and so I can fill in the missing chunks somewhat more easily.

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.

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.

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.

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.

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.

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.

I love Italy, and that's where I make my own shoes. But the French really do respect designers. Italy is totally different; footwear is an industry. The shoes are all about craft and luxury. French shoes are more about straight lines, and they are way more geometric.

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.

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.

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!

I started collecting aerial photographs of Native American and South Pacific architecture; only the African ones were fractal. And if you think about it, all these different societies have different geometric design themes that they use. So Native Americans use a combination of circular symmetry and fourfold symmetry.

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.

It struck me recently, that one should really consider the sequence of a protein molecule about to fold into a precise geometric form as a line of melody written in a canon form & so designed by Nature to fold back into itself, creating harmonic chords of interaction consistent with biological function

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.

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.

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.

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.

I feel more and more as if time did not exist at all... only various spaces interlocking according to the rules of a higher form of stereometry[the geometric measurement of solid bodies], between which the living and the dead can move back and forth as they like, and the longer I think about it the more it seems to me that we who are still alive are unreal in the eyes of the dead.