In 2011 Australian architect Horst Kiechle created an entire human torso from paper, as a geometric sculpture, for the science lab at the International School Nadi in Fiji.
He’s made the templates available for free — you can fold your own paper man, complete with removable organs.
Shot down over South Vietnam in 1972, Air Force navigator Iceal Hambleton needed to reach the Cam Lo River but was surrounded by enemy forces who might intercept any radio messages sent to him. After some consultation, rescuers told him to play the first hole at the Tucson National Golf Course. “Before you start be damned sure you line your shot up properly,” they said. “Very bad traps on this hole.”
Hambleton was bewildered at first but came to understand. As an avid golfer he was familiar with a number of American courses, and he had a photographic memory of each hole’s length and layout. The first hole at Tucson was 430 yards long and ran southeast, so he set off accordingly across country, following an imaginary fairway.
This worked. By invoking additional holes from three Air Force bases, as well as a par 3 from Augusta National, rescuers led Hambleton to the river, where a Navy SEAL picked him up.
“Two things kept me alive,” he told Golf Digest in 2001. “The will to live, and my wife. And we’re playing golf Friday.”
Completed in 1997, German artist Jo Niemeyer’s 20 Steps Around the Globe installed 20 high-grade steel columns on a great circle around the earth, establishing the distances between them using the golden ratio φ, 1.61803398875.
The first poles, shown here, were erected in Finnish Lapland, north of the polar circle. The first two were placed 0.458 meters apart; the third was placed 0.458 × φ = 0.741 meters beyond the second; and so on, marching off in a beeline toward the horizon. The first 12 poles are in Finland; the 13th and 14th in Norway; the 15th, 16th, and 17th in Russia; the 18th in China; and the 19th in Australia. The 20th coincides with the first back in Finland.
In this way the project models the golden section and the Fibonacci sequence, tailoring them to our planet. Niemeyer calls it “an interdisciplinary expedition into the secrets of the power of limits.”
“My view of life is, that it’s next to impossible to convince anybody of anything.” — Lewis Carroll
In 1680 Robert Hooke sprinkled a plate with flour, drew a violin bow across its edge, and saw the flour spring into surprising geometric shapes. The plate was resonating, driving the flour into invisible nodal lines on its surface that were not vibrating.
German physicist Ernst Chladni pursued these experiments in the 18th century and published his results in Discoveries in the Theory of Sound in 1787. Today they’re known as Chladni figures.
“The universe is full of magical things,” wrote Eden Phillpotts, “patiently waiting for our wits to grow sharper.”
During the hyperinflation that followed World War I in the Weimar Republic, a 5,000-mark cup of coffee could cost 8,000 marks by the time it was drunk. Newspapers published the stupefying multipliers by which prices had risen each day:
Tramway fare: 50,000
Tramway monthly season ticket:
— For one line: 4 million
— For all lines: 12 million
Taxi-autos: multiply ordinary fare by: 600,000
Horse cabs: multiply ordinary fare by: 400,000
Bookshops: multiply ordinary price by: 300,000
Public baths: multiply ordinary price by: 115,000
Medical attendance: multiply ordinary price by: 80,000
By the end of 1923 there were 92,844,720,742,927,000,000 marks circulating in the German economy, nearly 93 quintillion (note the logarithmic scale in the chart above).
This had a curious psychological effect. In December Time reported, “With the price of bread running into billions a loaf the German people have had to get used to counting in thousands of billions. This, according to some German physicians, brought on a new nervous disease known as ‘zero stroke,’ or ‘cipher stroke,'” a “desire to write endless rows of [zeros] and engage in computations more involved than the most difficult problems in logarithms.”
Human minds are not made to comprehend such large numbers. Foreign minister Walther Rathenau called it the “delirium of milliards”: “What is a milliard? Does a wood contain a milliard leaves? Are there a milliard blades of grass in a meadow? Who knows? If the Tiergarten were to be cleared and wheat sown upon its surface, how many stalks would grow?”
Fortunately the madness was stemmed with the introduction of a new currency — in 1924 one could exchange a trillion of the old marks for a single new Rentenmark, and the economy was finally stabilized.
Maine farmhand Leonard Trask was 28 years old when he was thrown by a horse and began to develop a curious stiffness in his back and neck. The following spring his neck and spine began to curve, forcing him to “bow forward,” but he was able to continue working.
He suffered another fall in 1840, though, and the condition grew worse. He went to 22 physicians seeking advice but was finally told that “no benefit would be likely to result therefrom.” According to an 1857 account, “his neck and back have continued to curve, more and more, every year, drawing his head downwards upon his breasts so there appears but little room to press it further without stopping entirely the movement of the jaws.”
In time he had difficulty even in sitting and reading, and he felt unsafe in riding a horse because he could not see where he was going. In his prime he had stood 6 foot 1, but by 1857 his stature had shrunk to 4 feet 10.5 inches, as his head had bowed entirely below his shoulders. He wrote:
In that celestial, bright and happy land,
Beyond this vale of sorrow, pain and tears,
Where I, erect in glory, hope to stand,
In faith and hope, the future bright appears.
Trask’s condition was unknown at the time of his death in 1861, but it was diagnosed afterward as ankylosing spondylitis, an inflammatory disease of the skeleton in which vertebrae can fuse together. His was the first published clinical account of the disease in the United States.
Neil Dawson’s Horizons invites a double-take — what appears to be a discarded piece of paper is actually a sculpture of welded steel 10 meters high.
Commissioned in 1994, it occupies the highest hilltop in businessman Alan Gibbs’ private art park in New Zealand.
In the fifth century B.C., a storm upset the pontoon bridges by which Xerxes’ armies were crossing from Persia into Greece. Xerxes punished the strait with three hundred lashes. (Herodotus called this a “highly presumptuous way to address the Hellespont.”)
In the ancient Athenian summer festival known as Buphonia, an ox was slain with an ax, which was then charged with murder and thrown into the sea.
In 1428 Pope Martin V ordered English theologian John Wycliffe’s 44-years-dead body to be dug up and burned for heresy.
In 1519 a group of field mice in Stelvio, Italy, were charged with damaging crops by burrowing. The prosecutor argued that the loss of income prevented local tenants from paying their rents. The mice were assigned a defense attorney, Hans Grinebner, who claimed that his clients aided society by eating insects and enriching the soil. The judge banished the mice but promised them safe conduct and “an additional respite of fourteen days … to all those which are with young and to such as are yet in their infancy.”
In 1685, after the revocation of the Edict of Nantes, the Protestant chapel at La Rochelle, France, was condemned to be demolished. Its bell was spared, with a condition:
To expiate the crime of having rung heretics to prayers, it was sentenced to be first whipped, and then buried and disinterred, by way symbolizing its new birth at passing into Catholic hands. Thereafter it was catechized, and obliged to recant and promise that it would never again relapse into sin. Having made this ample and honourable amends, the bell was reconciled, baptized, and given, or rather sold, to the parish of St. Bartholomew.
— James George Frazer, Folk-Lore in the Old Testament, 1918
(Thanks, Brody.)
On Aug. 31, 2004, this man was discovered, naked and unconscious, behind a Burger King restaurant in Richmond Hill, Ga. When he regained consciousness in the local hospital, he was unable to remember who he was or how he’d came there.
That was nine years ago, and he still can’t remember. Benjaman Kyle — a name he adopted simply because it shares initials with Burger King — has been diagnosed with dissociative amnesia. He believes his birthday is Aug. 29, 1948, and he has some fragmentary memories of Denver and Indianapolis. But beyond that his life is largely a blank. He has been the subject of numerous newspaper stories and has appeared on national television, but no one has recognized him. He is the only American citizen whose whereabouts are known and yet is officially listed as missing.
The lack of a name or a Social Security number makes the search uniquely difficult. Benjaman has snapshots of memory: buying a grilled cheese sandwich at the Indiana state fair in the 1950s, and public debates over mass transit in Denver in the 1980s. But these lead nowhere. The Indiana Bureau of Motor Vehicles tried and failed to match his face with anyone in its records, and the FBI has been unable to match his DNA or fingerprints.
In 2010 he told told the Guardian that he often refrains from telling his story to new acquaintances because “you get two reactions. They want to tell you their theories or they think you’re mad. Neither is much fun for me.”
He acknowledges that many stories such as his turn out to be hoaxes. “It sounds crazy, I know that,” he says. “All I can say is I’m telling the truth.”
(10/05/2015 Some progress, after 11 years!)
