Even in tough times, it's always worth renewing and recharging.
Happy midsummer.
Mostly about fiction and writing.
"They also live / Who swerve and vanish in the river."--Archibald MacLeish
When the evening after his death we had gathered on Gendrikov Lane in ... the Briks' apartment [where Mayakovsky had been living], we suddenly heard loud noises coming from Mayakovsky's room--very loud noises, unceremoniously loud, as if somebody were chopping wood. It was the opening of Mayakovsky's cranium to allow the removal of his brain. We listened in horror-struck silence. Then a man in a white gown and boots came out of the room--either an attendant or a medical assistant, but a stranger to us--and in his hands he held a basin covered with a white cloth raised in the middle almost like a pyramid, indeed, just as if that soldier in boots had been carrying a paschal cream-cheese pudding. In the basin was Mayakovsky's brain.
“There’s a strange quality in stop-motion photography, like in ‘King Kong,’ that adds to the fantasy,” he said in 2006. “If you make things too real, sometimes you bring it down to the mundane.”As a fiction writer--and reader--I've always agreed with this, without ever quite knowing why. Now I actually suspect it's because I grew up watching Harryhausen's movies, often on the big screen, in gorgeous Technicolor. The way Harryhausen's monsters moved impressed the hell out of me--at once faster and slower than humans, with starker contrasts between light and shadow. I don't remember precisely how they looked. The movement was what made them otherworldly, and therefore more real, in the sense of more plausible as monsters. Why would something from another world (or from the imagination) move as we do, and exist in precisely the same plane? The movements of Harryhausen's creatures made them seem both here and somewhere else at the same time--and that lent them real power and real magic. And as he suggests, the more realistic CG effects become, the more disappointing they become, even as we marvel at the technical achievement. The monsters really have been brought down to Earth.
Unlike many contemporary scientists and logicians who disdained the imagination, Holmes brought reason and the imagination, logic and intuition, together in a new synthesis that he called “the scientific use of the imagination.” He made critical thinking into a romantic adventure. Through his discerning eye, every detail of modern life, from newspaper advertisements to the footsteps of a giant hound, became charged with meaning, possibility, and wonder.
I entertain myself with observations. Have you ever noticed that salt falls off the end of a knife without leaving a trace--the knife shines as if untouched; that pince-nez traverse the bridge of a nose like a bicycle; that man is surrounded by tiny inscriptions, a sprawling anthill of inscriptions: on forks, spoons, saucers, his pince-nez frames, his buttons, and his pencils?
In Odessa we sailed on the sea in punts. These were large, heavy boats with a flat bottom and no keel--something on the order of a cart thrown into the sea without its wheels. They were crudely painted in red and blue and moved by means of huge, heavy oars secured to the oarlocks with a strength sufficient at least for tethering oxen. In the bottom of these boats there was always water--puddles in which rags, pieces of shrimp, or a bottle swam. The punt skimmed over the waves. There was something of the Greek myths about the appearance of these boats. Even now I remember, as if I'd only seen it yesterday, the brown pear-like calves of the fishermen as they ran behind a boat they were launching, in order to leap into it once it was afloat.
I had plenty of anguish after that extraordinary moment, but I had, thank God, no terror. And he knew I had not—I found myself at the end of an instant magnificently aware of this. I felt, in a fierce rigor of confidence, that if I stood my ground a minute I should cease—for the time, at least—to have him to reckon with; and during the minute, accordingly, the thing was as human and hideous as a real interview: hideous just because it WAS human, as human as to have met alone, in the small hours, in a sleeping house, some enemy, some adventurer, some criminal. It was the dead silence of our long gaze at such close quarters that gave the whole horror, huge as it was, its only note of the unnatural. If I had met a murderer in such a place and at such an hour, we still at least would have spoken. Something would have passed, in life, between us; if nothing had passed, one of us would have moved. The moment was so prolonged that it would have taken but little more to make me doubt if even I were in life. I can't express what followed it save by saying that the silence itself—which was indeed in a manner an attestation of my strength—became the element into which I saw the figure disappear; in which I definitely saw it turn as I might have seen the low wretch to which it had once belonged turn on receipt of an order, and pass, with my eyes on the villainous back that no hunch could have more disfigured, straight down the staircase and into the darkness in which the next bend was lost.
The Cantor ternary set is created by repeatedly deleting the open middle thirds of a set of line segments. One starts by deleting the open middle third (1⁄3, 2⁄3) from the interval [0, 1], leaving two line segments: [0, 1⁄3] ∪ [2⁄3, 1]. Next, the open middle third of each of these remaining segments is deleted, leaving four line segments: [0, 1⁄9] ∪ [2⁄9, 1⁄3] ∪ [2⁄3, 7⁄9] ∪ [8⁄9, 1]. This process is continued ad infinitum, where the nth set is
The Cantor ternary set contains all points in the interval [0, 1] that are not deleted at any step in this infinite process.
The first six steps of this process are illustrated below.
An explicit formula for the Cantor set is
The proof of the formula above is done by the idea of self-similarity transformations and can be found in detail.[7][8]
Yeah, no, I can't read these equations at all. But the basic idea is that the set, as James Gleick explains in Chaos, "the points that remain are infinitely many, but their total length is infinitely small." That concept is the basis for fractal geometry; it's the infinitely large AND infinitely small concept that I am really interested in. Just look at the picture! It's amazing! The universe we live in!