Roughness Quotes
A branch of physics that I was working in for many years has lately become much less active. Many problems have been solved and others are so difficult that nobody knows what to do about them. This means that I do much less physics today than 15 years ago. By contrast, fractal tools have plenty to do. There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable. The hammer I crafted is the first effective tool for all kinds of roughness and nobody will deny that there is at last some roughness everywhere.
Benoît Mandelbrot
To appreciate the nature of fractals, recall Galileo's splendid manifesto that "Philosophy is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which one wanders about in a dark labyrinth." Observe that circles, ellipses, and parabolas are very smooth shapes and that a triangle has a small number of points of irregularity. Galileo was absolutely right to assert that in science those shapes are necessary. But they have turned out not to be sufficient, "merely" because most of the world is of infinitely great roughness and complexity. However, the infinite sea of complexity includes two islands: one of Euclidean simplicity, and also a second of relative simplicity in which roughness is present, but is the same at all scales.
Benoît Mandelbrot
You can see the roughness of structure and the spots like wounds from battles on the canvas. The tops of skyscrapers with windows like eyes constantly remind you that there are laws surrounding the wastelands, and so you hide in the deep grass when you make love to a girl in dirty clothes, and experience how your nerves of seeing become stronger and stronger and every little sound more and more intense. That's what Pasolini's poetry is partly about; he was a street guy and therefore I avoided beautiful new wood or metal for his sculpture... The wasteland was Pasolini's other side; the boys, the knives, the nights, the tensions.
Karel Appel
You must either make a tool of the creature, or a man of him. You cannot make both. Men were not intended to work with the accuracy of tools, to be precise and perfect in all their actions. If you will have that precision out of them, and make their fingers measure degrees like cog-wheels, and their arms strike curves like compasses, you must unhumanize them. All the energy of their spirits must be given to make cogs and compasses of themselves....On the other hand, if you will make a man of the working creature, you cannot make him a tool. Let him but begin to imagine, to think, to try to do anything worth doing; and the engine-turned precision is lost at once. Out come all his roughness, all his dulness, all his incapability; shame upon shame, failure upon failure, pause after pause: but out comes the whole majesty of him also; and we know the height of it only when we see the clouds settling upon him.
John Ruskin
The road that leads to pleasure is downhill and very easy, with the result that one does not walk but is dragged along; the other which leads to self-control is uphill, toilsome no doubt but profitable exceedingly. The one carries us away, forced lower and lower as it drives us down its steep incline, till it flings us off on to the level ground at its foot; the other leads heavenwards the immortal who have not fainted on the way and have had the strength to endure the roughness of the hard ascent.
Philo
He that peruses Homer, is like the traveller that surveys mount Atlas; the vastness and roughness of its rocks, the solemn gloominess of its pines and cedars, the everlasting snows that cover its head, the torrents that rush down its sides, and the wild beasts that roar in its caverns, all contribute to strike the imagination with inexpressible astonishment and awe. While reading the Aeneid is like beholding the Capitoline hill at Rome, on which stood many edifices of exquisite architecture, and whose top was crowned with the famous temple of Jupiter, adorned with the spoils of conquered Greece.
Joseph Warton
Children are born true scientists. They spontaneously experiment and experience and reexperience again. They select, combine, and test, seeking to find order in their experiences - "which is the mostest? which is the leastest?" They smell, taste, bite, and touch-test for hardness, softness, springiness, roughness, smoothness, coldness, warmness: they heft, shake, punch, squeeze, push, crush, rub, and try to pull things apart.
Buckminster Fuller
I knew, and it was an illumination - one of those things one has always known, but never understood before - that all sanity depends on this: that it should be a delight to feel the roughness of a carpet under smooth soles, a delight to feel heat strike the skin, a delight to stand upright, knowing the bones are moving easily under flesh. If this goes, then the conviction of life goes too. But I could feel none of this. ... I knew I was moving into a new dimension, further from sanity than I had ever been.
Doris Lessing
If Courbet could only paint what he saw, he saw wonderfully, he saw better than anybody else. His eye was a subtle and assured mirror, where the most fleeting sensations, the most delicate nuances became clear. With this exceptional ability to see, came an exceptional ability to render what he saw. Courbet used paint thickly, but without harshness and without roughness: his pictures are as smooth as ice, and shine like enamel. He achieves relief and movement at the same time by using just the right shade; and this shade, put on flat with a palette knife, acquires an extraordinary intensity. I have never seen any richer or more distinguished use of colour, nor one that gains so much with age.
Gustave Courbet