Small World

https://commons.wikimedia.org/wiki/File:Statue_of_Little_Prince,_Kyiv.jpg
Image: Wikimedia Commons

In Antoine de Saint-Exupéry’s 1943 novella The Little Prince, the narrator encounters “a most extraordinary small person” whose planet is “scarcely any larger than a house.”

This led University of Ljubljana physicist Janez Strnad to consider the implications. If the radius of the prince’s planet were 64 meters and it had Earth’s density, then the weight of a prince with a mass of 30 kg would amount to 0.003 newtons, corresponding on Earth to the weight of a mass of 0.3 g. (If the planet had the density of an asteroid, his weight would be lower still.)

The planet cannot have an atmosphere, because the mean velocity of gas molecules is greater than the escape velocity.

If the prince moved faster than 80 millimeters per second he’d be sent into orbit around the planet; if faster than 11 centimeters per second he’d leave it altogether.

“He could overcome the limitations concerning his velocity by either binding himself with a rope to his planet or building a spherical shell around it,” Strnad concluded. “The human body adapts to weightlessness and astronauts have to perform special gymnastic exercises not to suffer on returning to the Earth. For the little prince, coming to Earth would be a serious adventure, were he not a fictitious character.”

(Janez Strnad, “The Planet of the Little Prince,” Physics Education 23:4 [1988], 224.)

The Flettner Rotor

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Canvas sails had been used for thousands of years when German engineer Anton Flettner realized that rotating cylinders might work as well: The spin produces a difference in pressure on opposite sides of the cylinder, and this can propel a ship through the water.

The idea made a splash when it was introduced in the 1920s, and an experimental vessel crossed the Atlantic in 1926, but the rotating drums consumed a discouraging amount of power and Flettner moved on to other projects. The principle has been revived lately, though, in hopes of increasing the fuel efficiency of conventionally powered ships.

More Bad Verse

For years I’ve been hearing about an immortally bad volume of poetry, The Captain of the ‘Dolphin’ and Other Poems of the Sea, by Frederick J. Johnston-Smith. The glimpses I’ve seen look fantastic:

We piled more wood upon the blazing hearth —
More broken planks from off the mould’ring wreck;
The billets, all composed of Norway pine,
Were evidently portions of the deck.

The morning came the tempest’s trail impatient to elute;
The merry birds assistance gave — played each his fife or flute.

A balminess the darkened hours had brought from out the south.
Each breaker doffed its cap of white and shut its blatant mouth.

Strike, strike your flag, Sidonia,
And lessen death and pain!
“Strike!” “Fight!” are but synonyma
For misery to Spain.

(Where the Goddess Aurora sits shaking her fan
In the face of a vapourless moon —
Where the sun circles round for the half of the year
And is cold — like a yellow balloon)

(to a lapwing:)

I thank you for cutting the thread of my thought
With a snip of your scissors-like bill,
For why should my mind with a thinking be fraught
Of men’s indefectible ill?

I’ve just discovered that the whole thing is on the Internet Archive — including a Glossary of Nautical Terms in which the poet informs us that the “wheel” is “that with which the helmsman steers the ship.”

Prime Circles

Is it always possible to arrange the numbers from 1 to 2n in a circle so that each adjacent pair sums to a prime?

  4  1
7      2
6      3
  5  8

As of 2016, solutions have been found for every case up to n = 106 — but no one has yet proven that it’s always possible.

Podcast Episode 326: The Recluse of Herald Square

ida wood

In 1931, a 93-year-old widow was discovered to be hoarding great wealth in New York’s Herald Square Hotel. Her death touched off an inquiry that revealed a glittering past — and a great secret. In this week’s episode of the Futility Closet podcast, we’ll tell the story of Ida Wood, which has been called “one of the most sensational inheritance cases in American history.”

We’ll also revisit the Candy Bomber and puzzle over some excessive travel.

See full show notes …

Technique

MIT astrophysicist Walter Lewin became renowned for his ability to draw dotted lines on a blackboard.

“The idea is that the chalk should not be too short,” he explained. “You have to push on the board, and if you don’t push too hard, it will jump. If you go a little faster, then you’re in business.”

He explains it further below:

Wave

The world’s largest anamorphic illusion is this startling display in Seoul’s Gangnam District. Measuring 80 meters by 20, it runs for 18 hours a day, the creation of design firm d’strict.

Below is another project by the same creators: the “infinity wall” in the lobby of Nexen Tire’s Central Research Institute, also in Seoul.

Background

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An avid stamp collector in earlier life, Franklin Roosevelt brought a surprisingly detailed knowledge of remote regions to his role as commander-in-chief.

“The president’s knowledge of world geography was amazing,” wrote his naval aide, John McCrea. “I once remarked about this, and he replied, ‘If a stamp collector really studies his stamps, he can pick up a great deal of information.'”

(From McCrea’s 2016 memoir, Captain McCrea’s War.)