A seeming paradox by Mitsunobu Matsuyama. Rotating the colored panels about their centers seems to change the area of the square. How is this possible?
No Vacancy
Unquote
“A science is any discipline in which the fool of this generation can go beyond the point reached by the genius of the last generation.” — Max Gluckman
Two in One
Look at this image closely and you’ll see the features of Albert Einstein.
But look at it from across a room and you’ll see Marilyn Monroe.
It’s a “hybrid image,” created using a technique developed by Aude Oliva of MIT and Philippe Schyns of the University of Glasgow. The image combines the low spatial frequencies of one picture with the high spatial frequencies of another, so that it’s processed differently at different viewing distances.
See their paper for the details, and this gallery for more examples.
Black and White
Podcast Episode 55: The Dyatlov Pass Incident
On February 1, 1959, something terrifying overtook nine student ski-hikers in the northern Ural Mountains. In this episode of the Futility Closet podcast we’ll recount what is known about the incident at Dyatlov Pass and try to make sense of the hikers’ harrowing final night.
We’ll also hear how Dwight Eisenhower might have delivered the Gettysburg Address and puzzle over why signing her name might entitle a woman to a lavish new home.
Insight
Maxims of François VI, Duc de La Rochefoucauld (1613–1680):
- “An extraordinary Haste to discharge an Obligation is a Sort of Ingratitude.”
- “Did we not flatter ourselves, the Flattery of others could never hurt us.”
- “Before we passionately desire a Thing, we should examine into the Happiness of its Possessor.”
- “Few Men are able to know all the Ill they do.”
- “Fortune never seems so blind to any as to those on whom she bestows no Favours.”
- “Happiness is in the Taste, not in the Thing; and we are made happy by possessing what we love, not what others think lovely.”
- “Men may boast of their great Actions; but they are oftner the Effects of Chance, than of Design.”
- “The Glory of great Men ought always to be rated according to the Means used to acquire it.”
- “We should manage our Fortune as our Constitution; enjoy it when good, have Patience when ’tis bad, and never apply violent Remedies but in Cases of Necessity.”
- “We bear, all of us, the Misfortunes of other People with heroic Constancy.”
- “Whatever great Advantages Nature can give, she can’t without Fortune’s Concurrence make Heroes.”
And “Hope, deceitful as it is, carries us thro’ Life agreeably enough.”
Star Power
A puzzle by A. Korshkov, from the Russian science magazine Kvant:
It’s easy to show that the five acute angles in the points of a regular star, like the one at left, total 180°.
Can you show that the sum of these angles in an irregular star, like the one at right, is also 180°?
Multimedia
James Mason’s topiary park in downtown Columbus, Ohio, was inspired by Georges Seurat’s A Sunday Afternoon on the Island of La Grande Jatte, below.
So the image above is a photograph of a sculpture of a painting of a landscape.
In a Word
quisquilian
adj. worthless, trivial
noncurantist
adj. marked by indifference
diversivolent
adj. desiring strife
On April 18, 1930, in place of its 6:30 p.m. radio news bulletin, the BBC announced, “Good evening. Today is Good Friday. There is no news.” It filled the time with two minutes of piano music.
In 2010 computer programmer William Tunstall-Pedoe sifted 300 million facts about “people, places, business and events” and determined that April 11, 1954, was the single most boring day in the 20th century.
He told the Telegraph, “Nobody significant died that day, no major events apparently occurred and, although a typical day in the 20th century has many notable people being born, for some reason that day had only one who might make that claim — Abdullah Atalar, a Turkish academic.
“The irony is, though, that — having done the calculation — the day is interesting for being exceptionally boring. Unless, that is, you are Abdullah Atalar.”
(Thanks, Duncan.)
Misc
- The clock face on the Marienkirche in Bergen auf Rügen, Germany, has 61 minutes. Does this mean time moves more slowly there — or more quickly?
- To ensure quiet, poet Amy Lowell hired five rooms at every hotel — her own and those on either side, above, and below.
- A perplexing sentence from a letter by Dorothy Osborne, describing shepherdesses in Bedfordshire, May 1653: “They want nothing to make them the happiest people in the world but the knowledge that they are so.”
- OVEREFFUSIVE is a palindrome in Scrabble — its letter values are 141114411141. (Discovered by Susan Thorpe.)
- The sum of the digits of every multiple of 2739726 up to the 72nd is 36. (E.M. Langley, Mathematical Gazette, 1896)
- I’ll bet I have more money in my pocket than you do. (Of course I do — you have no money in my pocket!)
- In 1996 a model airplane enthusiast was operating a remote-controlled plane in Phoenix Park in Dublin when the receiver died and the plane flew off on its own. It flew five miles to the northeast, ran out of fuel, and glided to a landing … on the taxi-way to Runway 28 at Dublin Airport.
(Thanks, Brian and Breffni.)