Boom Town

In 1757 Ben Franklin revealed “How to make a Striking Sundial, by which not only a Man’s own Family, but all his Neighbours for ten Miles round, may know what o’Clock it is, when the Sun shines, without seeing the Dial”:

Chuse an open Place in your Yard or Garden, on which the Sun may shine all Day without any Impediment from Trees or Buildings. On the Ground mark out your Hour Lines, as for a horizontal Dial, according to Art, taking Room enough for the Guns. On the Line for One o’Clock, place one Gun; on the Two o’Clock Line two Guns, and so of the rest. The Guns must all be charged with Powder, but Ball is unnecessary. Your Gnomon or Style must have twelve burning Glasses annex’d to it, and be so placed as that the Sun shining through the Glasses, one after the other, shall cause the Focus or burning Spot to fall on the Hour Line of One for Example, at one a Clock, and there kindle a Train of Gunpowder that shall fire one Gun. At Two a Clock, a Focus shall fall on the Hour Line of Two, and kindle another Train that shall discharge two Guns successively; and so of the rest.

Note, There must be 78 Guns in all. Thirty-two Pounders will be best for this Use; but 18 Pounders may do, and will cost less, as well as use less Powder, for nine Pounds of Powder will do for one Charge of each eighteen Pounder, whereas the Thirty-two Pounders would require for each Gun 16 Pounds.

Note also, That the chief Expence will be the Powder, for the Cannon once bought, will, with Care, last 100 Years.

Note moreover, That there will be a great Saving of Powder in cloudy Days.

(From Poor Richard Improved. He was mocking a class of overambitious amateur experimenters called virtuosi. “Kind Reader, Methinks I hear thee say, That it is indeed a good Thing to know how the Time passes, but this Kind of Dial, notwithstanding the mentioned Savings, would be very expensive; and the Cost greater than the Advantage. Thou art wise, my Friend, to be so considerate beforehand; some Fools would not have found out so much, till they had made the Dial and try’d it. Let all such learn that many a private and many a publick Project, are like this Striking Dial, great Cost for little Profit.”)

| Humor · Technology

Across the Universe

Tiny but interesting: The Beatles’ 1995 song “Free as a Bird” was based on a home demo that John Lennon had recorded in 1977, three years before his murder. After the surviving Beatles had added their own parts, they appended a music-hall-style ukulele to the end, followed by a spoken snippet by Lennon, “Turned out nice again,” a reference to entertainer George Formby.

In Beatles style they reversed this snippet, expecting it to sound like cryptic nonsense. Instead, the result (arguably) sounds like “Made by John Lennon.”

Paul McCartney said, “None of us had heard it when we compiled it, but when I spoke to the others and said, ‘You’ll never guess,’ they said, ‘We know, we’ve heard it too.’ And I swear to God he definitely says it. We could not in a million years have known what that phrase would be backwards.”

(From Peter Ames Carlin’s Paul McCartney: A Life, 2009.)

| Entertainment

Another First

Jules Verne’s 1882 novel La Jangada tells the story of Joam Dacosta, a Brazilian man wrongly accused of theft and murder. In Book Two his friends struggle to save him by solving a cryptogram, whose last paragraph is given in the text:

Phyjslyddqfdzxgasgzzqqehxgkfndrxujugiocytdxvksbxhhuypo
hdvyrymhuhpuydkjoxphetozsletnpmvffovpdpajxhyynojyggayme
qynfuqlnmvlyfgsuzmqiztlbqgyugsqeubvnrcredgruzblrmxyuhqhp
zdrrgcrohepqxufivvrplphonthvddqfhqsntzhhhnfepmqkyuuexktog
zgkyuumfvijdqdpzjqsykrplxhxqrymvklohhhotozvdksppsuvjhd.

In the end this works out to:

Le véritable auteur du vol des diamants et de l’assassinat des soldats qui escortaient le convoi, commis dans la nuit du vingt-deux janvier mil huit cent vingt-six, n’est donc pas Joam Dacosta, injustement condamné à mort; c’est moi, le misérable employé de l’administration du district diamantin; oui, moi seul, qui signe de mon vrai nom, Ortega.

In the article linked below, Miami University mathematician Frederick Gass explains rigorously how the cipher might be solved. In the novel, Judge Jarriquez has a brainstorm: He learns that the writer might have been named Ortega, guesses that the declaration might end with that signature, and works out the rest from there.

“By virtue of this solution, Jules Verne is credited with the first published exposition of the probable word method for Gronsfeld ciphers.”

(Frederick Gass, “Solving a Jules Verne Cryptogram,” Mathematics Magazine 59:1 [February 1986], 3-11.)

| Literature · Puzzles

Podcast Episode 319: Friedrich Kellner’s Opposition

https://commons.wikimedia.org/wiki/File:Friedrich_and_Pauline_Kellner_in_1914.jpg
Image: Wikimedia Commons

In the 1930s, German civil servant Friedrich Kellner was outraged by the increasing brutality of the Nazi party and the complicity of his fellow citizens. He began to keep a secret diary to record the crimes of the Third Reich and his condemnations of his countrymen. In this week’s episode of the Futility Closet podcast, we’ll tell the story of Friedrich’s diary and his outspoken warnings to future generations.

We’ll also ponder the problem with tardigrades and puzzle over a seemingly foolish choice.

See full show notes …

| History · Podcast · Society

A New Knot

https://commons.wikimedia.org/wiki/File:Pratt-knot-2020.jpg

In 1986, 89-year-old viewer Jerry Pratt showed up at Minneapolis’s WCCO-TV and told local newsman Don Shelby that he didn’t know how to tie his necktie straight.

“He’s my favorite anchor, and I got sick and tired of looking at the big knot in his tie every night,” Pratt said. “One of the first things people look at is a man’s tie.”

So he showed him something new, the “Pratt knot,” “the first new knot for men in over 50 years.” The Neckwear Association of America confirmed that it didn’t appear in Getting Knotted: 188 Knots for Necks, the trade association’s reference guide.

Some questioned whether it’s entirely original, calling it either a reverse half-Windsor or a variation on a knot called the Nicky, with the narrow end of the tie reversed, the seams and label facing out.

Pratt said he’d invented it on his own 30 years earlier. “I didn’t call it anything,” he said. “I just turned the tie inside out, and there it was.”

“At least something will carry on the family name.”

https://commons.wikimedia.org/wiki/Category:SVG_necktie_knot_tying_diagrams
Images: Wikimedia Commons
| Science & Math · Society

A Captivating Entertainment

https://books.google.com/books?id=TlcH33FzY3cC

Visitors to La Granja, Philip V’s retreat overlooking Madrid, may have found this unusual labyrinth a bit too involving. It’s a “vortex maze”: It “leads you directly to the centre, but its spiralling options for exit are your undoing,” explain Angus Hyland and Kendra Wilson in The Maze: A Labyrinthine Compendium (2018). “On paper, it is a beautiful design, and in reality it is almost twice as large as the ‘record-breaking’ maze at Longleat, made 250 years later.”

Philip’s French landscapers drew it from La théorie et la pratique du jardinage, the best-selling gardening manual published by Antoine Joseph Dezallier d’Argenville in 1709.

| History · Puzzles

The Mysterious Melody

University of California psychologist Diana Deutsch discovered this phenomenon in 1972. When the tones of a familiar melody are distributed among three different octaves, people find it difficult to identify. But once the underlying melody has been revealed to them, they can hear it more readily in the distributed version. Knowing what to listen for makes the tune easier to follow.

| Oddities