Podcast Episode 347: The Cottingley Fairies

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In 1917, two young cousins carried a camera into an English dell and returned with a photo of fairies. When Arthur Conan Doyle took up the story it became a worldwide sensation. In this week’s episode of the Futility Closet podcast we’ll tell the story of the Cottingley Fairies, a curiosity that would remain unexplained for most of the 20th century.

We’ll also remember a ferocious fire and puzzle over a troublesome gnome.

See full show notes …

Podcast Episode 346: A Desperate Winter in Antarctica

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Image: Yasmina

In 1898 a Belgian ship on a scientific expedition was frozen into the sea off the coast of Antarctica. During the long polar night, its 18 men would confront fear, death, illness, and despair. In this week’s episode of the Futility Closet podcast we’ll describe life aboard the Belgica during its long, dark southern winter.

We’ll also consider a devaluing signature and puzzle over some missing music.

See full show notes …

The Hidden Element

The name of one chemical element appears as an unbroken string in the names of four other elements. What is the element, and what are the four?

Click for Answer

Obstacle Course

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In Aldiborontiphoskyphorniostikos, a Christmas party game from 1824, players had to take turns reading tongue-twisting passages as quickly as possible from a prepared list. Each passage represents a letter of the alphabet, and each builds on its forerunners. The worst is this:

TOBY PHILPOT sat tippling with UMPO, VUMPO, and WILLY WIDEMOUTH of Wolverhampton, when X and Y, two officers, brought in the culprit, while Saccharum Sweet Tooth said nothing, while Ramo Samee really swollowed a sword, while Sly Kia cried Quack! quack! quack! And turned into a duck, to escape from Poniatowsky, who said, To jail with the Juggler and Jade, as Mother Bunch on her broomstick cried, here’s a to-do! as Nicholas Hotch-potch said, Never were such times, as Muley Hassan, Mufti of Moldavia, put on his Barnacles, to see little Tweedle gobble them up, when Kia Khan Kreuse transmogrofied them into Pippins, because Snip’s wife cried, Illikipilliky! lass a-day! ’tis too bad to titter at a body, when Hamet el Mammet, the bottlenosed Barber of Balasora, laughed ha! ha! ha! on beholding the elephant spout mud over the ‘Prentice, who pricked his trunk with a needle, as Dicky Snip, the tailor, read the proclamation of Chrononhotonthologos, offering a thousand sequins for taking Bombardinian, Bashaw of three tails, who killed Aldiborontiphoskyphorniostikos.

A player who couldn’t pronounce a passage perfectly had to pay a penalty for each mistake. Here’s the whole list.

Small Talk

“A Brief and Somewhat Ungracious Exchange Between the British Ambassador’s Wife, Who Speaks No Spanish, and the Spanish Ambassador’s Wife, Who Speaks No English, During a Courtesy Call by the Latter Upon the Former: Written on the Assumption That My Readers Know the Sound of the Spanish Word for ‘Yes'”

“T?”

“C.”

— Willard R. Espy

Letters and Numbers

ONE + TWO – THREE – FOUR + FIVE = 1

That’s true if we replace each word either with the number it denotes or with the quantity of its letters: Either way we’re left with 1. Another:

ONE + TWO – THREE – FOUR + FIVE – SIX + SEVEN + EIGHT + NINE – TEN + ELEVEN + TWELVE – THIRTEEN – FOURTEEN = 5

These are the only two such sequences using 20 or fewer consecutive number names, found Leonard Gordon, although other sequences of plus and minus signs are possible.

In a separate but related project, Gordon assigned the number names ONE through FIFTEEN, ONE through NINETEEN, and ONE through TWENTY to either side of an equals sign so that the denoted equation is mathematically correct and each equation “balances,” with the same number of letters on each side:

ONE + FOUR + SEVEN + TEN + ELEVEN + THIRTEEN + FOURTEEN = TWO + THREE + FIVE + SIX + EIGHT + NINE + TWELVE + FIFTEEN

ONE + THREE + FIVE + SEVEN + NINE + SIXTEEN + SEVENTEEN + EIGHTEEN + NINETEEN = TWO + FOUR + SIX + EIGHT + TEN + ELEVEN + TWELVE + THIRTEEN + FOURTEEN + FIFTEEN

ONE + THREE + SIX + NINE + TEN + TWELVE + THIRTEEN + FIFTEEN + SEVENTEEN + NINETEEN = TWO + FOUR + FIVE + SEVEN + EIGHT + ELEVEN + FOURTEEN + SIXTEEN + EIGHTEEN + TWENTY

(“Self-Referential Sums Revisited,” in “Kickshaws,” Word Ways 28:3 [August 1995], 170-180.)

Nowheresville

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Image: Wikimedia Commons

In September 2008, Mike Nolan, head of web services at Edge Hill University in Ormskirk, England, noticed something strange on Google Maps. “I grew up in the area and spotted on the map one day that it said ‘Argleton’,” he told the Guardian. “But it’s just a farmer’s field close to the village hall and playing fields. I think a footpath goes across the field, but that’s all.”

Bloggers began to discuss the nonexistent town, which found its way into other services that used Google’s data: Employment agencies, weather services, and letting agents began to cite Argleton in their listings, reassigning real people and businesses to the phantom settlement because of its claimed location.

Was it a joke? A placeholder? A misspelling? Whatever it was, it had disappeared again by May 2010. Google would say only that it experiences “occasional errors” and that it gets its mapping information from a Dutch company called Tele Atlas (whose spokesperson would add only, “I really can’t explain why these anomalies get into our database”).

Danny Dorling, president of the Society of Cartographers, said, “I would bet that this is an innocent mistake. In other words, it was not intentionally inserted to catch out anyone infringing the map’s copyright, as some are saying. But the bottom line is that we don’t know what mapping companies do to protect their maps or to hide secret locations, as some are obligated to do.”

Cutting Cake

mabry proof

In the College Mathematics Journal in 2001, Rick Mabry published this “proof without words” that

\displaystyle  \frac{1}{3} + \frac{1}{3^{2}} + \frac{1}{3^{3}} + \cdots = \frac{1}{2}.

He gives a charming explanation here.

(Rick Mabry, “Mathematics Without Words,” College Mathematics Journal 32:1 [January 2001], 19.)

Endless

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[A]ccording to the standard traditions, being in hell is the worst thing that could ever happen to anyone. As with less horrendous evils, the first question is how such an evil is, or could be, justified. The theological portrayals of hell make this question the most difficult for the theist to address. Ordinary pain and evil, it may be thought, can be accounted for if events in the future ‘make up for’ what leads to them, but the evil of hell leads nowhere; at no point in the future will something of value make up for the evil of hell or will some reward be granted to those who endure the suffering of hell. Hell is apparently paradigmatic as an example of truly pointless, gratuitous evil. Thus arises the problem of hell.

— Jonathan L. Kvanvig, The Problem of Hell, 1993