Never Too Late

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Abraham Lincoln had less than a year of formal schooling.

The fifth Lincoln-Douglas debate was held before Knox College in 1858. As he crawled through a second-story window to reach the platform, he said, “At last I have gone through college.”

Cheryl’s Birthday

This question appeared in the 2015 Singapore and Asian Schools Math Olympiad, a competition for 14-year-old students from Singapore, Thailand, Vietnam, China, and the U.K. (I’ve amended the language a bit):

Albert and Bernard have just become friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates:

May 15 16 19
June 17 18
July 14 16
August 14 15 17

Cheryl then tells Albert and Bernard separately the month and the day of her birthday, respectively.

Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know it either.

Bernard: At first I didn’t know when Cheryl’s birthday is, but I know now.

Albert: Then I also know when Cheryl’s birthday is.

When is Cheryl’s birthday?

Singapore TV presenter Kenneth Kong posted the question online, and it went viral in a matter of days. The competition organizers had intended it to “sift out the better students” and expected that 40 percent of the competitors would find the solution. What is it?

Click for Answer

Patrolling the Palace

A puzzle by James Tanton:

King Tricho lives in a palace in which every room is a triangle:

patrolling the palace

Before retiring for the night he’d like to inspect it. Is there a path that will let him visit each room once and only once? He can start anywhere.

Click for Answer

Monkey See

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Image: Wikimedia Commons

In 1972 biologists Colin Tayler and Graham Saayman were observing a group of Indo-Pacific bottlenose dolphins in a South African aquarium. One of them, a 6-month-old calf named Dolly, began to seek their attention by pressing feathers, stones, seaweed, and fish skins against the glass of the viewing chamber. If they ignored her she swam off and returned with a different object.

At the end of one observation session, one of the investigators blew a cloud of cigarette smoke against the glass as Dolly was looking in. “The observer was astonished when the animal immediately swam off to its mother, returned and released a mouthful of milk which engulfed her head, giving much the same effect as had the cigarette smoke,” the biologists reported. “Dolly subsequently used this behaviour as a regular device to attract attention.”

“Dolly didn’t ‘copy’ (she wasn’t really smoking) or imitate with intent to achieve the same purpose,” argues ecologist Carl Safina in Beyond Words: What Animals Think and Feel. “Somehow Dolly came up with the idea of using milk to represent smoke. Using one thing to represent something else isn’t just mimicking. It is art.”

(C.K. Tayler and G.S. Saayman, “Imitative Behaviour by Indian Ocean Bottlenose Dolphins [Tursiops aduncus] in Captivity,” Behaviour 44:3 [1973], 286-298.)

Podcast Episode 161: The Girl Who Fell From the Sky

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Image: Wikimedia Commons

In 1971 high school student Juliane Koepcke fell two miles into the Peruvian rain forest when her airliner broke up in a thunderstorm. Miraculously, she survived the fall, but her ordeal was just beginning. In this week’s episode of the Futility Closet podcast we’ll describe Juliane’s arduous trek through the jungle in search of civilization and help.

We’ll also consider whether goats are unlucky and puzzle over the shape of doorknobs.

See full show notes …

Handimals

Using a body painting technique he developed in 1990, Calabrian illustrator Guido Daniele has created a curious zoo of animal images painted on human hands.

“Each painting takes from two to ten hours to complete,” reports Brad Honeycutt in The Art of Deception, “which means the hand models lending their exremities to the project must be very patient.”

Animal Behavior

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Guidelines for wearers of a Smokey Bear costume, from the U.S. Forest Service’s Smokey Bear FAQ:

  1. The person wearing the costume must exhibit appropriate animation to be effective. Express sincerity and interest in the appearance by moving paws, head, and legs.
  2. There shall be at least one uniformed escort to accompany the Bear. The escort shall guide the Bear at the elbow.
  3. After donning the costume, the escort shall inspect the suit. Check for the following:
  4. Is the drawstring tucked in?
    Is the zipper out of sight?
    Are the buttons fastened?
    Is the belt firmly fastened to the pants?
    Are the pant cuffs neat?
    Is the hat crown up?
    Is the head straight on the shoulders?
    Is the fur brushed generously?

  5. A private dressing room is necessary for putting on and taking off the costume.
  6. The costumed bear should not force itself on anyone. Do not walk rapidly toward small children.
  7. A round-point shovel is part of the Smokey Bear image. It shall be used for appearances, when appropriate.
  8. The costume becomes hot to the wearer after a very short period. Success has been noted with the use of compartmentalized “ice vests” and the addition of a battery-operated fan in the hat. Several cooling options are available from the costume manufacturers. Limit appearances to 15-20 minute segments to minimize personal discomfort.
  9. After each appearance, check the costume for needed repairs or cleaning. Note this on the outside of the storage box for immediate follow-up by the owner/manager of the costume.

Costumed users must not speak during appearances, must never appear in less than full costume, and must appear dignified and friendly. “Do not use alcohol or illicit drugs prior to and during the Smokey Bear appearance. This condition applies to uniformed escorts as well.”

Shot Locks

A bizarre item from Gaillard’s Medical Journal, November 1884: Henry Matthews, a Pennsylvania soldier, was struck down by a bullet to the head at Cold Harbor in 1864. When he survived, his astonished doctors gave him the ball, with some of his brain and scalp still adhering to it. He “suffered no mental inconvenience” and went on to work as a clerk for the Reading Railroad.

When the bullet was presented to him 20 years ago at the hospital door the brain matter and the little patch of scalp had dried up, but a few short hairs could be seen sticking out from the latter. The bullet had been considerably flattened, and somewhat resembled in shape a miniature clam shell. As time elapsed Mr. Matthews, who greatly prized this relic, noticed an astonishing fact. The hairs, which at first were scarcely prominent enough to be noticed, were growing. Other hairs grew out also until a thick black bunch appeared at the back end of the bullet. At first his friends refused to credit the story, although he showed the precious relic in proof. Once or twice he cut off the ends of the growing hair. It continued to grow. About a year ago Mr. Matthews came to Philadelphia and sought out [the original surgeon, W.R.D] Blackwood, to whom he exhibited the bullet with its bunch of apparently healthy hair. The surgeon, in the presence of professional witnesses, cut off an inch of the hair, measured that which remained, boxed and sealed up the bullet, and placed it in trusty hands for safe keeping. Recently the package was opened. A careful measurement showed that the hair had grown over an inch since the ball had been last seen.

“At one time the hair had attained a growth of fully one inch,” reported the Miners’ Journal in the same year. “The relic was exhibited at the Philadelphia and Reading Depot by George Rahn, a clerk in Mr. Smith’s office. Mr. Matthews, who is employed by the Reading Company at Pottsville, was offered $100 for the ball but refused to accept it.”

Master Class

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In 1884 Robert Louis Stevenson began to give writing lessons to his 26-year-old neighbor Adelaide Boodle. One of his first assignments was to describe a place. When he read her attempt, he said, “Oh, but this work is disgracefully bad! It could hardly be worse. What induced you to bring me stuff like this?” When she asked him what was wrong with it, he said:

‘As a first step in the right direction we will do a sum together. Count the adjectives in that exercise.’

I did so.

‘Now then, see how many times that will go into the number of words allowed for the whole description.’

The result proved that my modest percentage of adjectives was 17 1/2.

‘And mostly weak ones at that!’ remarked the Master with a queer little grimace at the culprit.

‘But how ought it to have been done?’

The voice that made this appeal for light and leading was no longer in the least lachrymose: it was now, I flattered myself, that of a vigorous and determined student.

‘You should have used fewer adjectives and many more descriptive verbs,’ came the swift reply. ‘If you want me to see your garden, don’t, for pity’s sake, talk about “climbing roses” or “green, mossy lawns”. Tell me, if you like, that roses twined themselves round the apple trees and fell in showers from the branches. Never dare to tell me again anything about “green grass”. Tell me how the lawn was flecked with shadows. I know perfectly well that grass is green. So does everybody else in England. What you have to learn is something different from that. Make me see what it was that made your garden distinct from a thousand others. And, by the way, while we are about it, remember once for all that green is a word I flatly forbid you to utter in a description more than, perhaps, once in a lifetime.’

She judged that the lesson was “well worth suffering for,” and the two became good friends. “After all, R.L.S. ‘was going to teach me to write’. What on earth did anything else matter?”

(From Boodle’s R.L.S. and His Sine Qua Non, 1926.)