It’s possible to build an analogue of the pyramidal orange stacking in every dimension, but as the dimensions get higher, the gaps between the high-dimensional oranges grow. By dimension eight, these gaps are large enough to hold new oranges, and in this dimension only, the added oranges lock tightly into place. The resulting eight-dimensional sphere packing, known as E8, has a much more uniform structure than its two-stage construction might suggest. “Part of the mystery here is this object turns out to be vastly more beautiful and symmetric than it sounds,” Cohn said. “There are tons of extra symmetries.”
Author: Edouard Chazal
My Brief Carrer As An Indian Ocean Tax Pirate
In the end I let my offshore structure collapse soon after setting it up. Unlike some of my offshore counterparts I could not afford the annual £700 charge to maintain them.
My offshore empire was built at my kitchen table with just a few thousand pounds and Emily for help. I can only imagine what kinds of opaque and impenetrable structures could be created by those with the financial means large enough to be employing companies such as Mossack Fonseca.
The Art of Larry Gagosian’s Empire
One of Gagosian’s particular talents is conjuring complex, chesslike transactions that offer elements more enticing than cash. “He’s like a block trader,” says collector and Blackstone chairman, CEO and co-founder Stephen Schwarzman, referring to the financial practice of making high-risk, fast-moving private deals on large quantities of shares. “He’s in the matching business.” When Schwarzman, for example, was seeking a rare Twombly “blackboard” painting for his apartment, “Larry found someone in Korea who owned a painting and found another painting that was larger and more important,” Schwarzman says. “So they sold their painting and bought another from Larry. That’s a classic Larry Gagosian execution—where everyone’s happy and Larry makes tons of money.”
Why Physics Is Not a Discipline
Physics, properly understood, is not a subject taught at schools and university departments; it is a certain way of understanding how processes happen in the world. When Aristotle wrote his Physics in the fourth century B.C., he wasn’t describing an academic discipline, but a mode of philosophy: a way of thinking about nature. You might imagine that’s just an archaic usage, but it’s not. When physicists speak today (as they often do) about the “physics” of the problem, they mean something close to what Aristotle meant: neither a bare mathematical formalism nor a mere narrative, but a way of deriving process from fundamental principles.
The Warhol of Wall Street
We’re Not in Kansas Anymore is about the 2008 financial crisis that kicked off with the implosion of investment bank Lehman Brothers (for the record, Mr. Saiers thinks the government should have bailed them out). Braille-like lettering symbolizes the systemic blindness that created the crisis, he says—blindness of regulators to the realities of modern finance, blindness of ratings agencies to the real risks of pooled mortgage-backed securities—while circles and squares represent the problem of predicting how financial markets will behave. They reference the classic problem known as “squaring the circle,” which is the idea that you could make a square with the same area as a given circle. It is impossible, but you can get very close, Mr. Saiers explained—just as it’s impossible to anticipate financial markets, though you can make very smart guesses.
