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In “Partial Magic in the Quixote,” Borges quotes philosopher Josiah Royce:

Let us imagine that a portion of the soil of England has been levelled off perfectly and that on it a cartographer traces a map of England. The job is perfect; there is no detail of the soil of England, no matter how minute, that is not registered on the map; everything has there its correspondence. This map, in such a case, should contain a map of the map, which should contain a map of the map of the map, and so on to infinity.

This sequence tends to a single point, the point on the map that corresponds directly to the point it represents in the territory.

Cover England entirely with a 1:1 map of itself, then crumple the map into a ball. So long as it remains in England, the balled map will always contain at least one point that lies directly above the corresponding point in England.

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Related (sort of): In The Humor and Drama of Early Texas (2003), George U. Hubbard notes that one day in 1865, Thomas Jefferson Chambers was standing in this house in a room containing his portrait when someone fired a shot through the second-story window. “The bullet passed through Chambers’ body and lodged in his portrait on the wall. The citizens of Anahuac thought it very singular that the bullet that killed him struck the portrait in exactly the same place it had passed through his body.” The crime was never solved.

See Garganta and Papered Over.

| Science & Math

Fair Point

‘My dearest Maria,’ wrote a recently-married husband to his wife. She wrote back, ‘Dearest, let me correct either your grammar or your morals. You address me, “My dearest Maria.” Am I to suppose you have other dear Marias?’

— The Illinois Farmer, June 1863

| Language

Deer Prudence

In 1946, while on location shooting The Yearling, Victor Fleming was barraged with interfering telegrams by producer Sidney Franklin. Finally he wired back:

JUST SAT DOWN AND READ SCRIPT AND YOUR TELEGRAM TO DEER + FEEL HE WILL DO BETTER HEREAFTER.

| Entertainment

Hand Count

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Image: Wikimedia Commons

Suppose we fill Yankee Stadium with 50,000 people and ask them to spend the day shaking hands with one another.

Prove that, at the end of the day, at least two participants will have shaken hands with the same number of people.

Click for Answer
| Puzzles

Apathy on Rails

When the San Diego Wild Animal Park opened in 1972, it featured a monorail that visitors could ride around the park’s perimeter. The railway was called the Wgasa Bush Line, a suitably exotic name that many visitors assumed was African.

In fact the name arose in a planning meeting. When chief designer Chuck Faust couldn’t think of a name, he wrote WGASA on the plans. “Everybody laughed because they knew what it stood for, but they loved it because it sounded African,” zoo founder Charles Schroeder wrote later. “We thought WGASA would blow over, but it actually stuck.”

It stands for “Who gives a shit anyway?”

| Language

“Newfoundland Dog”

One of the magistrates in Harbour Grace, in Newfoundland, had an old dog of the regular web-footed species peculiar to this island, who was in the habit of carrying a lantern before his master at night, as steadily as the most attentive servant could do, stopping short when his master made a stop, and proceeding when he saw him disposed to follow. If his master was absent from home, on the lantern being fixed to his mouth, and the command given, ‘Go fetch thy master,’ he would immediately set off, and proceed directly to the town, which lay at the distance of more than a mile from the place of his master’s residence: he would then stop at the door of every house which he knew his master was in the habit of frequenting, and laying down his lantern, growl and strike the door, making all the noise in his power until it was opened; if his master was not there, he would proceed farther in the same manner, until he had found him. If he had accompanied him only once into a house, this was sufficient to induce him to take that house in his round.

— The Scrap Book, Or, A Selection of Interesting and Authentic Anecdotes, 1825

| Oddities

Half-Hearted

half-hearted

Draw a semicircle and surmount it with two smaller semicircles.

A line drawn through A, at any angle, will divide the perimeter precisely in half.

This probably has some romantic symbolism, but I’m not very good at that stuff.

06/19/2024 Very belated update: This is called the cardioid of Boscovich, after Roger Boscovich, 1711-1787. There’s a proof of the theorem in Alsina and Nelsen, Icons of Mathematics.

| Science & Math

Nearer My God

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Buzz Aldrin celebrated communion on the moon. From his 2009 book Magnificent Desolation:

So, during those first hours on the moon, before the planned eating and rest periods, I reached into my personal preference kit and pulled out the communion elements along with a three-by-five card on which I had written the words of Jesus: ‘I am the vine, you are the branches. Whoever remains in me, and I in him, will bear much fruit; for you can do nothing without me.’ I poured a thimbleful of wine from a sealed plastic container into a small chalice, and waited for the wine to settle down as it swirled in the one-sixth Earth gravity of the moon. My comments to the world were inclusive: ‘I would like to request a few moments of silence … and to invite each person listening in, wherever and whomever they may be, to pause for a moment and contemplate the events of the past few hours, and to give thanks in his or her own way.’ I silently read the Bible passage as I partook of the wafer and the wine, and offered a private prayer for the task at hand and the opportunity I had been given.

“Perhaps, if I had it to do over again, I would not choose to celebrate communion,” he wrote. “Although it was a deeply meaningful experience for me, it was a Christian sacrament, and we had come to the moon in the name of all mankind — be they Christians, Jews, Muslims, animists, agnostics, or atheists. But at the time I could think of no better way to acknowledge the enormity of the Apollo 11 experience that by giving thanks to God.”

| History · Religion

Horse Sense

John Raymond Godley (1920-2006), Lord Kilbracken, was a respected writer and journalist, but he’s remembered mostly for a peculiar talent: He dreamed the winners of horse races.

  • While an undergraduate at Oxford in 1946, he dreamed he was reading racing results in a newspaper. Two of the winners were Bindal and Juladin, horses he knew from his waking life. In the morning he discovered that both would be running that afternoon. He bet on both, and both won.
  • A month later, vacationing in Ireland, he awoke with the name Tubermore in his mind. He called the local postmistress the following day, and she told him that a Tuberose was running that day. He won, at odds of 100 to 6.
  • In July he dreamed that a bookie’s clerk told him a horse named Monumentor had won a race. He found in the morning that a Mentores would be running that day. He bet and won.
  • In June 1947 he dreamed he was watching one race in which he recognized jockey Edgar Britt, then watched a second race won by a horse called The Bogie. He woke to find that Britt was riding that day, and that a horse called The Brogue would be running in the race that followed. This time he sealed his picks in a time-stamped envelope in the presence of witnesses. Both horses won.
  • In 1949 he dreamed he read the name Timocrat in the Mirror‘s racing sheet. He discovered that Timocrat was running the next day; he bet and won.

And so on. He couldn’t summon the dreams, of course, and the horses he picked didn’t invariably win. But even nine years later a dream led him to the winner of the Grand National. “I can offer no explanation, rational or irrational,” he wrote in a memoir. “Make your own deductions, but accept my facts as true.”

| Oddities