Last Business

Working alone in his fields on June 8, 1948, Saskatchewan farmer Cecil George Harris accidentally put his tractor into reverse. It rolled backward, pinning his left leg under the rear wheel. His wife didn’t find him until 10:30 that night, and he died at the hospital.

Days later, surveying the scene of the accident, neighbors noticed that Harris had scratched an inscription into the tractor’s fender using his pocketknife:

In case I die in this mess, I leave all to the wife. Cecil Geo Harris.

The courts determined this to be a valid will. The fender was kept at the Kerrobert Courthouse until 1996; today it and the knife are displayed at the University of Saskatchewan law library.

06/08/2024 UPDATE: Geoff Ellwand and his colleagues published an impressively detailed account of the incident and its aftermath in the Saskatchewan Law Review in 2014. (Thanks, Tyler.)

December 13, 2016June 8, 2024 | Death · Oddities

8 Is Enough

8 Is Enough - problem

This is said to have been the most popular problem presented in the American Mathematical Monthly. It was proposed by P.L. Chessin of Westinghouse in the April 1954 issue. Each of the digits in this long division problem has been replaced with an x — except for a single 8 in the quotient. Can you reconstruct the problem?

	Select Click for Answer
In long division, whenever two digits are brought down instead of one — as happens twice in this problem — a zero must appear in the quotient. That tells us that the quotient is x080x. The visible 8 multiplied by the divisor produces a three-digit number. But when the last number in the quotient is multiplied by the divisor, it produces a four-digit number. So the last digit in the quotient must be 9. The divisor has three digits and produces a three-digit number when multiplied by the visible 8. So the divisor must be less than 125, because 8 × 125 = 1000. That tells us something further. When the divisor is multiplied by the first digit of the quotient, it produces a three-digit number, and when this is subtracted from the first four digits of the dividend it yields a two-digit difference. That means that the first digit of the quotient must be greater than 7, because 7 × 124 = 868, and that would yield a three-digit difference when subtracted from even the smallest possible four-digit number, 1000 (1000 – 868 = 132). An 8 or a 9 could produce a two-digit difference, but a 9 would produce a four-digit number when multiplied by the divisor. So the first digit of the quotient is 8, and the full quotient is 80809. Now, 80809 × 123 = 9939507, which has only seven digits, and the dividend has eight. So the divisor is less than 125 and greater than 123, which means it’s 124. That gives us everything we need:

Click for Answer

December 13, 2016December 25, 2016 | Puzzles

Podcast Episode 133: Notes and Queries

In this week’s episode of the Futility Closet podcast we’ll explore some more curiosities and unanswered questions from Greg’s research, including a pilot who saved Buckingham Palace, a ghost who confronted Arthur Conan Doyle, what Mark Twain learned from a palm reader, and a bedeviling superfluity of Norwegians.

We’ll also discover a language used only by women and puzzle over a gift that’s best given sparingly.

See full show notes …

December 12, 2016October 1, 2017 | Podcast

Kapitza’s Pendulum

Here’s a surprise: A pendulum can be made stable in its inverted position if its support is oscillated rapidly up and down.

Even more improbably, in 1993 David Acheson and Tom Mullin showed that a double and even a triple pendulum can be made to stand up vertically like this if the pivot vibrates at the right frequency.

“The ‘trick’ really did work, and it worked, in fact, far better than we could ever have imagined,” Acheson wrote in 1089 and All That. “We were quite taken aback by just how stable the inverted state could be, and provided the pendulums were kept roughly aligned with one another, we could push them over by as much as 40 degrees or so and they would still gradually wobble back to the upward vertical.”

They published their results in Nature and later appeared on the BBC program Tomorrow’s World, but their demonstration didn’t impress everyone — afterward, an outraged caller upbraided the producers for “lowering their usually high standards” and “falling prey to two tricksters from Oxford.”

Here’s the double pendulum (thanks, Eccles):

December 11, 2016December 11, 2016 | Science & Math

Small Business

From reader Magnus Ehinger: A mouse has apparently opened a restaurant and nut store in Malmö, Sweden, just outside the Kebab House at the intersection of Bergsgatan and Almbacksgatan. The restaurant is called Il Topolino (the Italian name for Mickey Mouse), and the nut store next door is Noix de Vie (“nuts of life”).

The restaurant offers a variety of cheese and crackers, according to the tiny menu posted outside, and the nut store offers pistachios, almonds, and hazelnuts. Also arranged outside are a tiny bicycle and posters for mouse-related films (including Night of the Were-Rat).

No one knows who’s behind this — a group called Anonymouse posted images on an Instagram account as this project took shape, and recently left an update reading “Without spoiling too much we can tell you that we’re working on a new scene, and in 2017 you’re going to be able to see plenty more.”

More information, and photos, are here. (That’s an English translation — here’s the article in the original Swedish. Thanks, Magnus.)

December 10, 2016December 10, 2016 | Art

Memento Mori

Dutch anatomist Frederik Ruysch had a curious sideline: He arranged fetal skeletons into allegorical dioramas on death and the transience of life. Set amid landscapes made of gallstones, kidney stones and preserved blood vessels, the skeletons are decorated with symbols of short life — one holds a mayfly, another weeps into a handkerchief made of brain meninges. Worms made of intestine wind through their rib cages. “Quotations and moral exhortations, emphasizing the brevity of life and the vanity of earthly riches, festooned the compositions,” notes Stephen Jay Gould in Finders, Keepers. “One fetal skeleton holding a string of pearls in its hand proclaims, ‘Why should I long for the things of this world?’ Another, playing a violin with a bow made of a dried artery, sings, ‘Ah fate, ah bitter fate.'”

Johannes Brandt, a Remonstrant teacher, wrote:

Oh, what are we? What remains of us when we are dead?
Behold, it is no living thing, but dry, bare bone instead.
Bladder stones you see in heaps, piled higher by the morrow:
Here one learns about life’s course through storms of pain and sorrow.
These wise lessons Ruysch presents with wit and erudition,
Amsterdam is fortunate to have this great physician.

December 9, 2016December 8, 2016 | Art · Death

Media Relations

One of the most famous cat-and-bird friendships on record was that between Caruso, a canary which belonged to President Coolidge, and Timmie, a black-and-white cat owned by Bascom Timmons, a Washington newspaperman. They became acquainted when Timmons took his cat to the White House, and Coolidge eventually sent the canary to Timmons’ home to live with the cat. After that they spent an hour or two every day together, the canary walking up and down the cat’s back or resting between his paws. According to Timmons, the canary fell over dead while singing to the cat.

— Roger Butterfield, “Cats,” LIFE, April 22, 1946

December 8, 2016 | Oddities

Panorama

https://www.youtube.com/watch?v=a8YXZTlwTAU

Diagnosed with autism at 3, Stephen Wiltshire quickly became fascinated with drawing London buildings, and by age 8 he was sketching Salisbury Cathedral for former Prime Minister Edward Heath. Known as “the living camera,” he can draw an accurate, detailed picture of a subject after seeing it once — including subjects as complex as major cities. He’s completed enormous canvases of Tokyo, Rome, Hong Kong, Frankfurt, Madrid, Dubai, Jerusalem, and London, drawing each from memory after a helicopter ride.

Below is the full time-lapse of his portrait of Singapore, drawn from memory over five days in 2014. “That he has a gift makes no sense at all to Stephen,” his sister Annette told the New York Times. “He knows that he draws very well, but he picks that up from other people — he sees the warmth on their faces, they tell him how much they like his work, and that makes him very happy. He loves the attention.”

December 8, 2016December 7, 2016 | Art

A Weighty Burden

Visitors to Arizona’s Petrified Forest National Park sometimes can’t resist making off with a souvenir or two. Those who do sometimes return the stolen pieces with a “conscience letter” describing the misfortunes that have befallen them. Trinity Christian College art professor Ryan Thompson went through the 1200 pages in the park’s archives and collected the best of them for a 2014 book, Bad Luck, Hot Rocks. Some examples:

“Here are your rocks. Nothing but bad trouble.”

“Please put this back so my husband can get well. I tried to keep him from taking it.”

“Found this in my room. You can have it back. It’s bad luck. I got busted the other night.”

“I am sorry I took this. I am only 5 years old and made a bad mistake.”

And simply “You were right!”

There’s more at the website. Strangely, the same thing happens at Hawaii Volcanoes National Park, where an actual fire goddess will punish you for stealing lava rocks. And see The Conscience Fund.

December 7, 2016December 6, 2016 | Oddities

Forward!

“The difficulty of ruling over a diverse nation,” a 1578 engraving by Antwerp-based artist Pieter van der Borcht the Elder.

James A. Garfield wrote, “All free governments are managed by the combined wisdom and folly of the people.”

From the Public Domain Review.

December 6, 2016 | Art · Society