Rapidly going over what I could recall of Jim Bursley's information about pathological curves confirmed the conjecture. The snowball curve, derived from an equilateral triangle, is a perimeter of infinite length enclosing a finite area. The angles or points of the perimeter are uncountable. An equilateral triangle projected integrally in the third dimension is a triangular pyramid of equal surfaces. The three-dimensional snowflake derived from this pyramid--hence its diamantine appearance--is a finite volume enclosed in a surface of infinite area. The convolutions of such a surface, to be gathered around its defined content extrude a number of discrete angles or points beyond all possibility of computation. The pressure on each point is infinitesimal, unmeasurably small; the total external pressure exerted on any part of the surface is an aggregate of infinitesimal values, itself infinitesimal.
William Grey WalterRelated topics
aggregate beyond computation conjecture content curve dimension equal infinitesimal length number perimeter point possibility pyramid small surface third triangle enclosing jim pointsRelated quotes
Well sure, my sculptures are floor pieces. Each one, like any area on the surface of the earth, supports a column of air that weighs – what is it? – 14.7 pounds per square inch. So in a sense, that might represent a column. It's not an idea, it's a sense of something you know, a demarked place. Somehow I think I always thought of it going that way, rather than an idea of a narrowing triangle going to the center of the earth... I have nothing to do with Conceptual art [in contrast to his Physical Art, as Carl Andre called his sculpture art already in 1969]]. I'm not interested in ideas. If I were interested in ideas, I'd be in a field where what we think in is ideas... I don't really know what an idea is. One thing for me is that if I can frame something in language, I would never make art out of it. I make art out of things which cannot be framed in any other way. [quote from a talk with the audience, December 1969].
Carl Andre
A number of proposals have been advanced in recent years for the development of ‘general systems theory' which, abstracting from properties peculiar to physical, biological, or social systems, would be applicable to all of them. We might well feel that, while the goal is laudable, systems of such diverse kinds could hardly be expected to have any nontrivial properties in common. Metaphor and analogy can be helpful, or they can be misleading. All depends on whether the similarities the metaphor captures are significant or superficial.
It may not be entirely vain, however, to search for common properties among diverse kinds of complex systems... The ideas of feedback and information provide a frame of reference for viewing a wide range of situations, just as do the ideas of evolution, of relativism, of axiomatic method, and of operationalism... hierarchic systems have some common properties that are independent of their specific content...
Herbert Simon
Vampires can't exist. There'd be detailed records in the archives; they couldn't possibly evade detection by the state for any significant period. Besides which...there'd be corpses everywhere. Human blood is a poor nutrient source; it's about 60 percent plasma by volume and only provides about 900 calories per liter, so your hypothetical blood-sucking fiend is going to have to drink about two and a half liters per day. Those calories don't come in the form of useful stuff like glucose and fat: it's mostly protein from circulating red blood cells. Dracula would have to exsanguinate a victim every day just to stay alive, and would suffer from chronic ketoacidosis. The total number of intentional homicides for the whole country is around 700 a year; a single vampire would cause a 50 percent spike in the murder rate. Or they'd have to take transfusion-sized donations about two thousand times a year.
Charles Stross
It is true that we were cautious in our planning. There were many uncertainties about how well our Lunar module systems and our Pressure suit and backpack would match the engineering predictions in the hostile lunar environment. We were operating in a near perfect vacuum with the temperature well above 200 degrees Fahrenheit with the local gravity only one sixth that of Earth. That combination cannot be duplicated here on Earth, but we tried as best we could to test our equipment for those conditions. For example, because normal air conditioning is inadequate for lunar conditions, we were required to use cold water to cool the interior of our suits. We did not have any data to tell us how long the small water tank in our backpacks would suffice. NASA officials limited our surface working time to 2 and 3/4 hours on that first surface exploration to assure that we would not expire of hyperthermia.
Neil Armstrong
Molly Notkin often confides on the phone to Joelle van Dyne about the one tormented love of Notkin's life thus far, an erotically circumscribed G. W. Pabst scholar at New York University tortured by the neurotic conviction that there are only a finite number of erections possible in the world at any one time and that his tumescence means e. g. the detumescence of some perhaps more deserving or tortured Third World sorghum farmer or something, so that whenever he tumifies he'll suffer the same order of guilt that your less eccentrically tortured Ph. D.-type person will suffer at the idea of, say, wearing baby-seal fur. Molly still takes the high-speed rail down to visit him every couple of weeks, to be there for him in case by some selfish mischance he happens to harden, prompting black waves of self-disgust and an extreme neediness for understanding and nonjudgmental love.
David Foster Wallace