Rough Cuts

http://pixabay.com/en/sand-black-tenerife-background-454333/

In 1968, artist Tim Ulrichs released Schleifpapier-Schallplatten, a set of 13 discs made from commercial sandpaper in various degrees of coarseness, with blank center labels. They were billed as “monosandpaper records.”

V.A. Wölfli’s industrial noise composition “Pferd/Horse/Elastic” was named after the Pferd company’s steel-cutting discs — he simply put 100 of the construction-duty grinding wheels inside record covers.

The first single by the Dust Breeders, “Sandpaper Mantra” (1989), was a 7-inch piece of sandpaper inside a record sleeve. Their 1995 composition “I’m Psycho 4 Yur Love” swapped these materials, with a sandpaper sleeve housing a vinyl record that gets scratchier every time it’s removed.

The Durutti Column’s The Return of the Durutti Column (1980), the Feederz’ Ever Feel Like Killing Your Boss? (1984), and Illusion of Safety’s Illusion of Safety (1999) were all released in sandpaper sleeves.

This may have been an homage to Guy Debord’s 1957 autobiography, Mémoires, which was bound in a sandpaper cover in order to destroy any book placed next to it.

(From Craig Dworkin, No Medium, 2013.) (Thanks, Vinny.)

Land of Opportunity

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Auguste Bartholdi patented the Statue of Liberty. In 1879, seven years before its dedication in New York Harbor, the French sculptor filed a one-page abstract describing his “design for a sculpture”:

The statue is that of a female figure standing erect upon a pedestal or block, the body being thrown slightly over to the left, so as to gravitate upon the left leg, the whole figure being thus in equilibrium, and symmetrically arranged with respect to a perpendicular line or axis passing through the head and left foot. The right leg, with its lower limb thrown back, is bent, resting upon the bent toe, thus giving grace to the general attitude of the figure. The body is clothed in the classical drapery, being a stola, or mantle gathered in upon the left shoulder and thrown over the skirt or tunic or under-garment, which drops in voluminous folds upon the feet. The right arm is thrown up and stretched out, with a flamboyant torch grasped in the hand. The flame of the torch is thus held high up above the figure. The arm is nude; the drapery of the sleeve is dropping down upon the shoulder in voluminous folds. In the left arm, which is falling against the body, is held a tablet, upon which is inscribed ‘4th July, 1776.’ This tablet is made to rest against the side of the body, above the hip, and so as to occupy an inclined position with relation thereto, exhibiting the inscription. The left hand clasps the tablet so as to bring the four fingers onto the face thereof. The head, with its classical, yet severe and calm, features, is surmounted by a crown or diadem, from which radiate divergingly seven rays, tapering from the crown, and representing a halo. The feet are bare and sandal-strapped.

Bartholdi also received copyright 9939G for his “Statue of American Independence,” and architect Richard Morris Hunt received copyrights for the pedestal.

Barry Moreno’s Statue of Liberty Encyclopedia (2005) recounts the memory of a German immigrant who encountered the statue in 1911: “I remember we see Statue of Liberty. Gus asked me, ‘What’s the statue?’ And then we’re looking … and his father say, ‘That’s Christopher Columbus.’ And I put my two cents out. I say, ‘Listen, this don’t look like Christopher Columbus. That’s a lady there.'”

Chebyshev’s Paradoxical Mechanism

Russian mathematician Pafnuty Chebyshev devised this puzzling mechanisms in 1888. Turning the crank handle once will send the flywheel through two revolutions in the same direction, or four revolutions in the opposite direction. (A better video is here.)

“What is so unusual in this mechanism is the ability of the linkages to flip from one configuration to the other,” write John Bryant and Chris Sangwin in How Round Is Your Circle? (2011). “In most linkage mechanisms such ambiguity is implicitly, or explicitly, designed out so that only one choice for the mathematical solution can give a physical configuration. … This mechanism is really worth constructing, if only to confound your friends and colleagues.”

(Thanks, Dre.)

In a Word

paralian
n. one who lives near the sea

ultramontane
adj. one who lives beyond mountains

pedionomite
n. an inhabitant of a plain, a dweller in a plain

interamnian
adj. lying between rivers

Progress

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The Martian parliament consists of a single house. Every member has three enemies at most among the other members. Show that it’s possible to divide the parliament into two houses so that every member has one enemy at most in his house.

Click for Answer

All-Stars

1927 solvay conference

At the Fifth Solvay International Conference, held in Brussels in October 1927, 29 physicists gathered for a group photograph. Back row: Auguste Piccard, Émile Henriot, Paul Ehrenfest, Édouard Herzen, Théophile de Donder, Erwin Schrödinger, Jules-Émile Verschaffelt, Wolfgang Pauli, Werner Heisenberg, Ralph Howard Fowler, Léon Brillouin. Middle: Peter Debye, Martin Knudsen, William Lawrence Bragg, Hendrik Anthony Kramers, Paul Dirac, Arthur Compton, Louis de Broglie, Max Born, Niels Bohr. Front: Irving Langmuir, Max Planck, Marie Sklodowska Curie, Hendrik Lorentz, Albert Einstein, Paul Langevin, Charles-Eugène Guye, Charles Thomson Rees Wilson, Owen Willans Richardson.

Seventeen of the 29 were or became Nobel Prize winners. Marie Curie, the only woman, is also the only person who has won the prize in two scientific disciplines.

Below: On Aug. 12, 1958, 57 notable jazz musicians assembled for a group portrait at 17 East 126th Street in Harlem. They included Red Allen, Buster Bailey, Count Basie, Emmett Berry, Art Blakey, Lawrence Brown, Scoville Browne, Buck Clayton, Bill Crump, Vic Dickenson, Roy Eldridge, Art Farmer, Bud Freeman, Dizzy Gillespie, Tyree Glenn, Benny Golson, Sonny Greer, Johnny Griffin, Gigi Gryce, Coleman Hawkins, J.C. Heard, Jay C. Higginbotham, Milt Hinton, Chubby Jackson, Hilton Jefferson, Osie Johnson, Hank Jones, Jo Jones, Jimmy Jones, Taft Jordan, Max Kaminsky, Gene Krupa, Eddie Locke, Marian McPartland, Charles Mingus, Miff Mole, Thelonious Monk, Gerry Mulligan, Oscar Pettiford, Rudy Powell, Luckey Roberts, Sonny Rollins, Jimmy Rushing, Pee Wee Russell, Sahib Shihab, Horace Silver, Zutty Singleton, Stuff Smith, Rex Stewart, Maxine Sullivan, Joe Thomas, Wilbur Ware, Dickie Wells, George Wettling, Ernie Wilkins, Mary Lou Williams, and Lester Young. Photographer Art Kane called it “the greatest picture of that era of musicians ever taken.”

http://www.wikiwand.com/en/A_Great_Day_in_Harlem_(photograph)

The Wisdom of the Crowd

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At a livestock exhibition at Plymouth, England, in 1907, attendees were invited to guess the weight of an ox and to write their estimates on cards, with the most accurate estimates receiving prizes. About 800 tickets were issued, and after the contest these made their way to Francis Galton, who found them “excellent material.”

“The average competitor,” he wrote, “was probably as well fitted for making a just estimate of the dressed weight of the ox, as an average voter is of judging the merits of most political issues on which he votes, and the variety among the voters to judge justly was probably much the same in either case.”

Happily for all of us, he found that the guesses in the aggregate were quite accurate. The middlemost estimate was 1,207 pounds, and the weight of the dressed ox proved to be 1,198 pounds, an error of 0.8 percent. This has been borne out in subsequent research: When a group of people make individual estimates of a quantity, the mean response tends to be fairly accurate, particularly when the crowd is diverse and the judgments are independent.

Galton wrote, “This result is, I think, more creditable to the trustworthiness of a democratic judgment than might have been expected.”

(Francis Galton, “Vox Populi,” Nature, March 7, 1907.)

Nicomachus’ Theorem

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Image: Wikimedia Commons

In 100 C.E., Nicomachus of Gerasa observed that

13 + 23 + 33 + … + n3 = (1 + 2 + 3 + … + n)2

Or “the sum of the cubes of 1 to n is the same as the square of their sum.” The diagram above demonstrates this neatly: Counting the individual squares shows that

1 × 12 + 2 × 22 + 3 × 32 + 4 × 42 + 5 × 52 + 6 × 62
= 13 + 23 + 33 + 43 + 53 + 63
= (1 + 2 + 3 + 4 + 5 + 6)2

Nobody Home

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For more than 500 million years something has been making hexagonal burrows on the floor of the deep sea. Each network of tiny holes leads to a system of tunnels under the surface. The creature that makes them, known as Paleodictyon nodosum, has never been discovered. It might be a worm or perhaps a protist; the structure might be its means of farming its own food or the remains of a nest for protecting eggs. Fossils have been found in the limestone of Nevada and Mexico, and the burrows even turn up in the drawings of Leonardo da Vinci. But what makes them, and how, remain a mystery.

Somewhat related: When puzzling screw-shaped structures (below) were unearthed in Nebraska in the 1890s they were known as “devil’s corkscrews” and attributed to freshwater sponges or some sort of coiling plant. They were finally recognized as the burrows of prehistoric beavers only when a fossilized specimen, Palaeocastor, was found inside one.

http://commons.wikimedia.org/wiki/File:Daemonelix_burrows,_Agate_Fossil_Beds.jpg

(Thanks, Paul.)

Two Can Play

At Chancellorsville in 1863, a Confederate sniper was plaguing Union troops until an Army sharpshooter thought of a clever solution:

First he took off his cap, and shoved it over the earthwork. Of course, Johnnie Reb let go at it, thinking to kill the careless man under it. His bullet struck into the bank, and instantly our sharpshooter ran his ramrod down the hole made by the Johnnie’s ball, then lay down on his back and sighted along the ramrod. He accordingly perceived from the direction that his game was in the top of a thick bushy elm tree about one hundred yards in the front. It was then the work of less than a second to aim his long telescopic rifle at that tree and crack she went. Down tumbled Mr. Johnnie like a great crow out of his nest, and we had no more trouble from that source.

Recounted in Adrian Gilbert, Sniper, 1994.