Why Not?

From a letter from English scholar Walter Raleigh to Mrs. F. Gotch, July 2, 1898:

Doe you lyke my newe phansy in the matere of Spelynge? I have growen wery of Spelynge wordes allwaies in one waye and now affecte diversite. The cheif vertew of my reform is that it makes the spelynge express the moode of the wryter. Frinsns, if yew fealin frenly, ye kin spel frenly-like. Butte if yew wyshe to indicate that thogh nott of hyghe bloode, yew are compleately atte one wyth the aristokrasy you canne double alle youre consonnantts, prollonge mosstte of yourre vowelles, and addde a fynalle ‘e’ wherevverre itte iss reququirred.

A later poem:

Wishes of an Elderly Man, Wished at a Garden Party, June 1914

I wish I loved the Human Race;
I wish I loved its silly face;
I wish I liked the way it walks;
I wish I liked the way it talks;
And when I’m introduced to one
I wish I thought What Jolly Fun!

Sir Hilary’s Prayer

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English poet Winthrop Mackworth Praed was renowned for his charades — this one, published in the 1830s, has never been solved:

Sir Hilary charged at Agincourt,–
Sooth, ’twas an awful day!
And though in that old age of sport
The rufflers of the camp and court
Had little time to pray,
’Tis said Sir Hilary mutter’d there
Two syllables by way of prayer.

My first to all the brave and proud
Who see to-morrow’s sun:
My next, with her cold and quiet cloud,
To those who find their dewy shroud
Before to-day’s be done:
And both together to all blue eyes,
That weep when a warrior nobly dies.

“The best answer I have been able to find is GOOD NIGHT,” wrote Henry Dudeney in 1919. “The two syllables are by way of wish or prayer. We wish nothing but good to the victorious, we leave those have fallen to their ‘dewy shroud’ at night, while to the sorrowful bereaved we cannot do less than wish them a good night.”

But Praed himself left no solution.

Hard of Hearing

In 1979 Auberon Waugh was working as a columnist at Private Eye when his editor offered him a trip to Senegal to help celebrate the anniversary of the magazine’s sister publication. “All I would have to give in exchange was a short discourse in the French language on the subject of breast feeding.”

The assignment struck Waugh as strange but not unaccountable — he’d been writing a regular column in a medical magazine that had touched on that topic.

“So I composed a speech on this subject in French, with considerable labour, only to find when I landed in Dakar that the subject chosen was not breast-feeding but press freedom.” He’d misheard the editor.

“There was no way even to describe the misunderstanding, since la liberté de la Presse bears no resemblance to le nourrisson naturel des bébés.”

(From Waugh’s 1991 autobiography Will This Do?)

The Right Track

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Suppose you’re hiking in the woods and become lost. What’s the best path to follow to find the boundary? You know the forest’s shape and dimensions, but you don’t know where you are within it, nor which direction you’re facing.

This has remained an open problem ever since mathematician Richard Bellman posed it in the Bulletin of the American Mathematical Society in 1956. The best strategy will cover the shortest distance in the worst case; in forests of certain simple shapes this might be as straightforward as walking in a straight line or in a spiral, but other shapes are more troubling. We know how to escape squares and circles efficiently, but not equilateral triangles.

Mathematician Scott W. Williams classed this as a “million-buck problem” because solving it is expected to cultivate techniques of particular value to mathematics. It’s known as Bellman’s lost-in-a-forest problem.

The Territory

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Much blood has … been spilled on the carpet in attempts to distinguish between science fiction and fantasy. I have suggested an operational definition: science fiction is something that could happen — but usually you wouldn’t want it to. Fantasy is something that couldn’t happen — though often you only wish that it could.

— Arthur C. Clarke, foreword, The Collected Stories of Arthur C. Clarke, 2000

High and Dry

Since much of the Netherlands is below sea level, Dutch farmers needed a way to leap waterways to reach their various plots of land. Over time this evolved into a competitive sport, known as fierljeppen (“far leaping”) in which contestants sprint to the water, seize a 10-meter pole, and climb it as it lurches forward over the channel. The winner is the one who lands farthest from the starting point in the sand bed on the opposite side.

The current record holder is Jaco de Groot of Utrecht, who leapt, clambered, swayed, and fell 22.21 meters in 2017.

Below: In the Red Bull Stalen Ros in The Hague, two-person teams must navigate tandem bikes along a narrow 80-meter track. Participants are assessed on speed, design of bikes and attire, and creativity.

Board Walk

Al writes the numbers 1, 2, …, 2n on a blackboard, where n is an odd positive integer. He then picks any two numbers a and b, erases them, and writes instead |ab|. He keeps doing this until one number remains. Prove that this number is odd.

Click for Answer