Divide the number 999,999,999,999,999,999,999,998,999,999,999,999,999,999,999,999 into 1 and express the result as a decimal expansion, and you’ll find the Fibonacci sequence presented in tidy 24-digit strings:
(Thanks, David.)
Author: Greg Ross
Color Scheme
Amateur magician Oscar Weigle invented this surprising effect in 1949. Assemble a deck of 20 playing cards, 10 red and 10 black, in strictly alternating colors. Hold this deck under a table. Now turn over the top two cards as one, place them on top, and cut the deck. Repeat this procedure as many times as you like — turn two, cut, turn two, cut. When you’ve finished, the deck will contain an unknown number of reversed cards, distributed randomly.
Now, still holding the deck under the table, shift the top card to the bottom, then turn over the next card and place it on the table. Do this repeatedly — shift a card to the bottom, then reverse the next card and put it on the table — continuing until you’ve put 10 cards on the table. Surprisingly, these cards are sorted by color — the face-up cards are of one color, and the face-down ones are of the other.
You’re still holding 10 cards under the table. Divide these into two stacks and weave them together under the table randomly. Do this as many times as you like — divide the 10 cards into two groups and merge them together however you like, so long as no card is turned upside down. Turn over the packet and shuffle it in the same way a few more times. Give it a final cut if you like.
Now deal these cards out as before: Shift the top card to the bottom, reverse the next card and put it on the table. Like the first group, this one will sort itself by color, with one color face up and the other face down.
“A Distressing Blunder”
Robert Browning’s 1841 verse drama Pippa Passes, source of the famous lines “God’s in His heaven — All’s right with the world,” ends on a strange note:
But at night, brother Howlet, far over the woods,
Toll the world to thy chantry;
Sing to the bats’ sleek sisterhoods
Full complines with gallantry:
Then, owls and bats, cowls and twats,
Monks and nuns, in a cloister’s moods,
Adjourn to the oak-stump pantry!
When the editors of the Oxford English Dictionary inquired delicately how Browning had settled on the word twats, the poet indicated a 1660 rhyme called “Vanity of Vanities”: “They talk’t of his having a Cardinall’s Hat/They’d send him as soon an Old Nun’s Twat.” There the word had been intended as a dismissive insult, but Browning had taken it seriously. Today’s OED still cites Browning’s usage, noting that he’d used the word “erroneously” “under the impression that it denoted some part of a nun’s attire.”
Editor James A.H. Murray later complained, “Browning constantly used words without regard to their proper meaning. He has added greatly to the difficulties of the Dictionary.”
Podcast Episode 62: Marconi Catches a Murderer
The discovery of the gruesome remains of a human body buried in a doctor’s cellar shocked London in 1910. In this week’s podcast we’ll recount the dramatic use of the recently invented wireless telegraph in capturing the main suspect in the crime.
We’ll also hear a letter that Winston Churchill wrote to Winston Churchill and puzzle over why a sober man is denied a second beer.
Creative Housing
In 2003, student Steven Stanzak found that he couldn’t afford to pay for room and board at New York University, so he took up residence in a subbasement of the school’s Bobst Library. He kept his belongings in storage lockers, showered at the gym, and did his homework at a local McDonald’s.
He managed to live this way for eight months. In April 2004, as the NYU student paper was preparing a story on him, the university’s dean asked to see him. Stanzak feared the worst, but the dean told him his initiative was remarkable and gave him a free room in one of the residence halls. “I wasn’t afraid of being thrown out of the library,” Stanzak told the New York Times. “I could have slept in the park. My worst fear was getting kicked out of N.Y.U. I love this school.”
In 2012 entrepreneur Eric Simons lived for two months at AOL headquarters in Palo Alto, Calif., sleeping on couches, eating company food, and exercising in the company gym. He’d received a badge in order to participate in an earlier program and found that the badge kept working when the program disbanded.
“There were so many people going in and out each day,” he told CNET. “They’d say, ‘Oh, he just works here, he’s working late every night. Wow, what a hard worker.'”
A security guard finally caught him. He was thrown out, but no charges were filed. AOL vice president David Temkin said, “It was always our intention to facilitate entrepreneurialism in the Palo Alto office — we just didn’t expect it to work so well.”
Food Fight
W.S. Gilbert’s neighbor in the country was a partner in a firm that was famous for its relishes, pickles, jams, jellies, and preserves. He had been made a baronet but “had grown very touchy about the source of his wealth and his title,” recalled DeWolf Hopper, “and was rather a hoity-toity neighbor.”
One day Gilbert’s dogs killed some pheasants on the man’s property, and he wrote a curt note of protest to the author. Gilbert wrote back:
Dear Sir Alfred:
I am extremely sorry about the loss of your pheasants, and I am taking steps to prevent my dogs from trespassing on your preserves in the future.
Sincerely,
W.S. Gilbert
P.S. You will pardon my use of the word ‘preserves,’ won’t you?
In his 1927 autobiography, Hopper also recalls:
Someone once challenged Gilbert to make up a verse offhand riming the words ‘Timbuctoo’ and ‘cassowary’. He studied for a moment and recited:
If I were a cassowary in Timbuctoo,
I’d eat a missionary and his hymn book too.
Quick Thinking
From a letter by Lewis Carroll, about 1848:
I have not yet been able to get the second volume Macaulay’s ‘England’ to read. I have seen it however and one passage struck me when seven bishops had signed the invitation to the pretender, and King James sent for Bishop Compton (who was one of the seven) and asked him ‘whether he or any of his ecclesiastical brethren had anything to do with it?’ He replied, after a moment’s thought ‘I am fully persuaded your majesty, that there is not one of my brethren who is not as innocent in the matter as myself.’
“This was certainly no actual lie,” Carroll wrote, “but certainly, as Macaulay says, it was very little different from one.”
Cube Route
You’re planning to make the wire skeleton of a cube by arranging 12 equal lengths of wire as shown and soldering them at the corners.
It occurs to you that you might be able to simplify the job by using one or more longer lengths of wire and bending them into right angles at the cube’s corners.
If you adopt that plan, what’s the smallest number of corners where soldering will still be necessary?
Podcast Episode 61: The Strange Custom of Garden Hermits
In 18th-century England, wealthy landowners would sometimes hire people to live as hermits in secluded corners of their estates. In today’s show we’ll explore this odd custom and review the job requirements for life as a poetic recluse.
We’ll also meet a German novelist who popularized an American West he had never seen and puzzle over some very generous bank robbers.
Weighing in Verse
How can you find one bad coin among 12 using only three weighings in a pan balance? We published the classic solution in November 2013, but a clever alternative appeared in Eureka in October 1950. Here the aspiring counterfeiter is named Felix Fiddlesticks, and he’s trying to find the coin for this mother:
F set the coins out in a row
And chalked on each a letter, so,
To form the words: “F AM NOT LICKED”
(An idea in his brain had clicked).
And now his mother he’ll enjoin:
This plan will reveal the bad coin no matter which it is. For instance, if the coin marked O is heavy, then in the first two weighings the left pan will drop, and in the third weighing it will rise; no other bad coin will produce this result. The plan will also reveal reliably whether the bad coin is heavy or light.
Such cases number twenty-five,
And by F’s scheme we so contrive
No two agree in their effect,
As is with pen and patience checked:
And so the dud is found. Be as it may
It only goes to show CRIME DOES NOT PAY.
(Cedric Smith, “The Twelve Coin Problem,” The Mathematical Gazette, Vol. 89, No. 515 [July 2005], pp. 280-281. A generalized algorithm for solving such a problem for any number of coins is given by Michael Weatherfield in the same issue, pp. 275-279.)