Turn, Turn, Turn

New Jersey magician Karl Fulves invented this ESP trick. Hand a friend an ordinary die and turn your back. Ask her to place the die on a table. Now ask her to give the die a quarter turn: If the top number is even, she must turn it to the east (to her right), and if the top number is odd, she must turn it north (away from her). This exposes a new top number, and she can turn the die again according to the same rule, turning it east if the number is even and north if it’s odd. After she has continued in this way for several turns, you ask her to stop when the top number is 1, then to give the die one final turn and to concentrate on the top number. It would seem as though the final number might be any one of four possibilities, but you can name it correctly with your back turned. How?

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Law and Order

My first lesson in the meticulous use of words occurred in connection with a series of burglaries in the neighborhood. Just behind us on Exeter Street lived a well-known Boston spinster, Miss Ella Day by name. One moonlight night, when I was about ten years old, I was aroused by the noise of a watchman’s rattle and hurried to the window hoping to catch sight of the burglar leaping over the back-yard fences. Although I could see no burglar, I did see Miss Day’s attenuated right arm projecting from her window with the rattle, which she was vigorously whirling, at the end of it. Thoroughly thrilled, I called across to her:

‘Miss Day! Miss Day! What is it? Robbers?’

Even now I can hear her thin shaking voice with its slightly condescending acerbity:

‘No — burglars!’

— Arthur Train, Puritan’s Progress, 1931

Illumination

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In 1969, as NASA was preparing to send the first men to the moon, it invited world leaders to compose goodwill messages to be recorded on a silicon disc and left on the Sea of Tranquility.

Most of them sent rather banal greetings, but Félix Houphouët-Boigny, president of Ivory Coast, sent this:

At the moment when man’s oldest dream is becoming a reality, I am very thankful for NASA’s kind attention in offering me the services of the first human messenger to set foot on the Moon and carry the words of the Ivory Coast. I would hope that when this passenger from the sky leaves man’s imprint on lunar soil, he will feel how proud we are to belong to the generation which has accomplished this feat.

I hope also that he would tell the Moon how beautiful it is when it illuminates the nights of the Ivory Coast. I especially wish that he would turn towards our planet Earth and cry out how insignificant the problems which torture men are, when viewed from up there.

Soulmates

In 1966, asked to describe the person least likely to develop atherosclerosis, Cambridge research fellow Alan N. Howard answered, “A hypotensive, bicycling, unemployed, hypo-beta-lipoproteinic, hyper-alpha-lipoproteinic, non-smoking, hypolipaemic, underweight, premenopausal female dwarf living in a crowded room on the island of Crete before 1925 and subsisting on a diet of uncoated cereals, safflower oil, and water.”

Oxford physician Alan Norton added that her male counterpart was an ectomorphic Bantu who worked as a London bus conductor, had spent the war in a Norwegian prison camp, never ate refined sugar, never drank coffee, always ate five or more small meals a day, and was taking large doses of estrogen to check the growth of his prostate cancer.

“All these phrases mark correlations established in the last few years in a field of medical research which, in volume at least, is unsurpassed,” noted Richard Mould in Mould’s Medical Anecdotes. “The conflict of evidence is unequalled as well.”

Ho

If this sentence is true, then Santa Claus exists.

If that sentence is true, then it’s the case that Santa Claus exists. But wait — in making this observation, we seem to have confirmed the truth of the original sentence. And if that sentence is true, then Santa Claus exists! Where is the error?

(By Raymond Smullyan.)

Till Death

At 1 p.m. on Dec. 31, 1910, West Virginia peach grower Charles Twigg called on his fiancee, Grace Elosser, at her home in Cumberland, Md. The two were to be married the following day. They closed themselves in the parlor and remained undisturbed until 2:30, when Grace’s mother looked in with a question. She found Charles sitting in a corner of the divan, with Grace leaning against him. Both were dead.

A post-mortem suggested traces of cyanide in their stomachs, but no container was found on the bodies or in the room. If it was not suicide, was it murder? The couple had led uneventful lives, and only Grace’s family had had access to the parlor. A jury returned a verdict of cyanide poisoning “at the hands of person or persons to us unknown.”

The matter remained at an impasse until Jan. 28, when, as an experiment, doctors J.R. Littlefield and A.H. Hawkins left two cats in baskets on the parlor divan, lighted the stove, and closed the door for an hour. Both cats died. The lovers’ bodies were exhumed, and an examination showed that they had died of carbon monoxide poisoning. The flue had been choked with soot, and the odorless gas had overwhelmed the couple.

The Elossers cleaned the flue and moved out the house, but nearly the same tragedy befell the two women who succeeded them. On Feb. 21, 1913, a neighbor happened to call and found both women unconscious in their chairs. It was discovered that two bricks had been placed in the flue to reduce its draft, and soot had again choked the narrowed opening.

Shocking

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We are sick of the röntgen rays … you can see other people’s bones with the naked eye, and also see through eight inches of solid wood. On the revolting indecency of this there is no need to dwell.

Pall Mall Gazette, March 1896

Read-Only

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Trompe l’oeil master John Haberle’s 1895 work The Slate induced more than one viewer to reach for the chalk. But the whole image — slate, frame, pencil, string, and erasure — was painted in oils. Haberle intended it to be hung without a separate frame in order to complete the illusion.

Haberle specialized in such playful trickery. “The spectator is very apt to doubt the assertion that the work has been accomplished with brush and oil colors alone until he has been permitted to gaze at the production through a magnifying glass which brings out in bold relief the fact that the statement is indisputable,” wrote the Boston Post of a Haberle exhibition the following year. “[O]ne man who is known beyond the limits of Boston as an art critic was heard to say ‘If I had not seen it through a very powerful microscope, I should have refused to believe it to be a genuine painting without witnessing the artist actually at work on the subject.”

DIY

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On a voyage to England in 1757, Ben Franklin narrowly escaped shipwreck.

Afterward, he wrote to his wife, “The bell ringing for church, we went thither immediately, and with hearts full of gratitude, returned sincere thanks to God for the mercies we had received.

“Were I a Roman Catholic, perhaps I should on this occasion vow to build a chapel to some saint, but as I am not, if I were to vow at all, it should be to build a light-house.”