Play On

Local rules adopted at British golf courses during World War II:

  • “In competitions, during gunfire or while bombs are falling, players may take cover without penalty for ceasing play.”
  • “The positions of known delayed-action bombs are marked by red flags placed at a reasonably, but not guaranteed, safe distance therefrom.”
  • “A ball moved by enemy action may be replaced, or if lost or destroyed, ball may be dropped not nearer the hole without penalty.”
  • “A player whose stroke is affected by the simultaneous explosion of a bomb may play another ball from the same place. Penalty one stroke.”

In Curiosities of Golf (1994), Jonathan Rice writes, “At Folkestone GC, the wartime rules included the rather grudging allowance that ‘a ball may be lifted and dropped if in a bomb hole in the rough, but not if the bomb hole is in or part of a recognized hazard.’ So if you sliced your drive and just caught a bunker by the side of the fairway, which then turned out to be fifty feet deep thanks to an overnight bombing raid, you just had to play out of the hazard, however unrecognizable it might have been compared with the day before. They breed tough golfers in Folkestone.”

In July 1941, some American clubs reportedly adopted similar rules in a show of solidarity.

UPDATE: Here are the rules adopted by Richmond GC, southwest of London. (Thanks, Brieuc.)

| Entertainment · History · Oddities

Missed Connections

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Nineteenth-century personal ads from the New York Herald:

WILL THE YOUNG LADY WHO ACCIDENTALLY fell while dancing at Barnum’s Museum, on Monday evening, address a note to Interested, Herald office, as a gentleman would like to make her acquaintance, if perfectly agreeable to her? (Jan. 22, 1862)

NIBLO’S, MONDAY EVENING — OCCUPIED adjoining seats in parquet; repeated pressure of arm and foot and hands met when separating. If agreeable, address Bruno, box 211 Herald office. (July 17, 1867)

“WON’T YOU LOOK IN THE HERALD TO-MORROW?” — Will the young lady to whom the above was addressed appoint an interview with the gentleman wearing eyeglasses? Address A.B., Station D. (Dec. 17, 1867)

WILL THE YOUNG LADY, WITH CURLS, WEARING a straw bonnet, and I think plaid shawl, and who carried a Herald in her hand, and who came down Park row to Broadway, and down Broadway to Dey street, turning into Dey street about 11 o’clock yesterday, and who in Dey street met and spoke to a gentleman and then went into a fur store in Dey street, near Greenwich, oblige the gentleman who stood on the opposite side of Dey street, as he very much desires an acquaintance? Address T., Herald office. (Feb. 18, 1862)

AN INTRODUCTION IS EARNESTLY SOLICITED OF the young lady or her friends or family, by the gentleman and his mother who stopped their carriage Friday morning to assist a young lady who had jumped from a stage she had just entered, corner 5th av. and 39th st., to rescue the old gentleman who had fallen in the roadway. The young lady is about 20 years of age and very beautiful; wears her hair in large brown waves; has rosy complexion and soft blue eyes; wore Persian gilt walking coat and muff. We desire her acquaintance and to present her in our family. Address MOTHER AND SON, Herald Uptown office. (Feb. 8, 1880)

(From Sara Bader, Strange Red Cow: And Other Curious Classified Ads From the Past, 2005.)

| History · Society

The Book of Truth

Once I read a book of 100 numbered pages with one sentence on each page. Page 1: ‘The sentence on page 2 is true.’ Page 2: ‘The sentence on page 3 is true.’ And so on to page 100: ‘The sentence on page 1 is false.’

On the second reading, page 100 changes the entire book. If page 1 is false, then the truth is ‘The sentence on page 2 is false.’ Likewise, page 2 becomes ‘The sentence on page 3 is false.’ And so on to page 100, which now should be read as ‘The sentence on page 1 is true.’

What happens on the third reading?

— David Morice, “Kickshaws,” Word Ways 26:1 (February 1993), 44-55. See Yablo’s Paradox.

| Science & Math

Pen and Ink

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Image: Wikimedia Commons

In 1980, after 30 years of drawing Beetle Bailey, comic artist Mort Walker published The Lexicon of Comicana, a lighthearted meditation on the many conventions that a reader of comic strips is expected to understand. He calls it a lexicon because he’s made up names for all of them:

  • A grawlix (above) is a string of symbols representing profanity.
  • Emanata are lines surrounding a character’s head to indicate surprise or shock.
  • A lucaflect is the distorted image of a window in a shiny object.
  • Blurgits are blurs of motion within a single panel, to denote frenzied action.
  • Sphericasia are lines tracking motion: a throwatron is a line following a football, a sailatron follows a wandering paper airplane, and a dashed staggeratron follows an intoxicated person. If the motion is particularly fast, these might begin with a dust cloud, called a briffit.
  • Plewds are flying droplets of sweat to indicate stress, hard work, or nerves.
  • An indotherm is a series of wavy lines to indicate rising heat.
  • Vites are fine vertical lines to indicate a shine on a floor. Strangely, a window or mirror bears dites, which are diagonal.

More: a light bulb represents an idea, Zs (or a saw cutting a log) represent snoring, distant birds are inverted Ws, patches denote poverty, all bones are the same shape, all new things have price tags, all injuries require bandages, all paint cans bear drippings. Who invented all these conventions, and how did we all learn to observe them?

| Humor · Language

Scratch

Pósa problem

Can a chess knight visit every square on a board with 4 rows by a series of successive moves?

No, it can’t, and Hungarian mathematics prodigy Louis Pósa proved this while still in his early teens. Suppose that such a tour is possible. Then, on any board bearing the standard checkerboard pattern, the knight will land alternately on white and black squares. But now imagine that the board’s top and bottom rows have been colored red and the middle two rows are blue. Now a knight on any red square must jump to a blue square, and because the board has an equal number of red and blue squares, any knight on a blue square must jump to a red one (if it visits two blue squares in a row, it won’t be able to make up for this later by visiting two red ones in a row). So the knight’s tour on any 4 × n board must alternate strictly between red and blue squares.

“But this is impossible,” notes Colorado College mathematician John J. Watkins. “The same knight’s tour alternated between white and black squares in the one coloring, and between red and blue squares in the other coloring, which would mean the two color patterns must be the same, which of course they aren’t. Isn’t that a clever proof, especially for a teenager to discover?”

(John J. Watkins, Across the Board, 2004. Pósa’s proof is given more rigorously here, and it’s also presented in Ross Honsberger’s 1973 book Mathematical Gems.)

UPDATE: It’s important to note that it’s a “closed” knight’s tour that’s impossible — that’s one that ends where it began. An open tour, which can end anywhere, is possible — it breaks Pósa’s proof because it need not alternate strictly between red and blue squares. Thanks to reader Marjan Milanović for pointing this out.

| Science & Math

Dark Days

On June 17, 1794, Charles-Henri Sanson, high executioner of the First French Republic, guillotined more than 50 “conspirators” in 28 minutes, including an 18-year-old girl who seemed so fragile that “a tiger would have pitied her.” That night he wrote in his diary:

Terrible day. The guillotine devoured 54. My strength went, my heart failed me. That evening, sitting down to dinner, I told my wife that I could see spots of blood on my napkin. … I don’t lay claim to any sensibility I don’t possess: I have seen too often and too close up the sufferings and death of my fellow human beings to be easily affected. If what I feel is not pity it must be caused by an attack of nerves; perhaps it is the hand of God punishing my cowardly pliancy to what so little resembles that justice which I was born to serve.

(Quoted in Frances Larson, Severed, 2014.)

| Death · History

Self-Reports

A problem from the National Bank of New Zealand Competition 2000, via Crux Mathematicorum, November 2006:

Humanity is visited by three alien races, the Kweens, the Ozdaks, and the Merkuns. Kweens always speak the truth, and Ozdaks always lie. In any group of aliens, a Merkun never speaks first; when it does speak, it tells the truth if the previous statement was a lie and lies if the previous statement was truthful. The three alien races can tell one another apart, but to humans they all look the same. A delegation of three aliens visits Earth. At least one of them is a Kween. When they arrive they make the following statements, in order:

First alien: The second alien is a Merkun.

Second alien: The third alien is not a Merkun.

Third alien: The first alien is a Merkun.

Which aliens can we be sure are Kweens?

Click for Answer
| Puzzles

Succinct

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Linguist John Quijada designed the experimental language Ithkuil to permit “maximal communication in the most efficient manner”: Cognition processes far more information than natural languages typically express, and natural languages are full of vagueness and ambiguity; Ithkuil tries to express deep levels of cognition precisely while making the speaker’s intent clear.

The results can be striking. The 19-word English phrase “On the contrary, I think it may turn out that this rugged mountain range trails off at some point” can be expressed in two words in Ithkuil. And the passage above reads “As our vehicle leaves the ground and plunges over the edge of the cliff toward the valley floor, I ponder whether it is possible that one might allege I am guilty of an act of moral failure, having failed to maintain a proper course along the roadway.” And both of these expressions indicate the speaker’s full intent directly, where natural languages would tend to leave their full meaning to be inferred.

No one actually speaks Ithkuil — Quijada says he regards it as “an exercise in exploring how human languages could function, not how human languages do function.”

(John Quijada, A Grammar of the Ithkuil Language, 2011.)

| Language

Focus Group

[My brother Michael] remembered that I (then between four and five years old) was greatly concerned with petty consistency as the story unfolded, and that on one occasion I interrupted: ‘Last time, you said Bilbo’s front door was blue, and you said Thorin had a golden tassel on his hood, but you’ve just said that Bilbo’s front door was green and that Thorin’s hood was silver’, at which my father muttered ‘Damn the boy’, and then strode across the room to his desk to make a note.

— Christopher Tolkien, recalling a series of Christmas readings in the late 1920s in which The Hobbit took shape, quoted in Christina Scull and Wayne G. Hammond, The J.R.R. Tolkien Companion and Guide: Reader’s Guide, 2006

| Literature