Rendezvous

How does an outfielder know where to run in order to catch a fly ball? Previously it had been thought that the fielder estimates the ball’s arc, acceleration, and distance; predicts where it will land; and runs straight to that spot.

“That was a really elegant solution,” Kent State psychologist Michael McBeath told the New York Times in 1995. “The only problem is that keeping track of acceleration like that is something that people are very bad at.”

McBeath and his colleagues analyzed fly balls and catches visually, mathematically, and subjectively from the players’ perspective, using a video camera. They found that fielders learn to run so that the ball follows a straight line in their visual field. “If you are faster than the critter you are trying to catch, if you can keep the prey on a simple path in your vision — hold it as if it’s moving in a straight line in your eye — then you’ll catch it.”

Among other things, this explains why fielders sometimes collide with walls when chasing uncatchable home runs. They haven’t calculated in advance where the ball will come down; instead they’re following an algorithm that’s directing them, accurately, to a landing point that’s not on the field.

(Michael K. McBeath, Dennis M. Shaffer, and Mary K. Kaiser, “How Baseball Outfielders Determine Where to Run to Catch Fly Balls,” Science 268:5210 [1995], 569-573.) (See Shortcuts.)

| Entertainment · Science & Math

Tribute

http://en.wikipedia.org/wiki/Image:Holbein_Ambassadors.jpg

Hans Holbein’s 1533 painting The Ambassadors famously contains the distorted image of a skull — it resolves into its proper shape when viewed from the correct angle.

South African artist Jonty Hurwitz created the three-dimensional homage below. “Hans Holbein the Younger is thought to be one of the fathers of Anamorphic Art. This sculpture is my tribute to his genius and inventiveness. It is an expression of gratitude for the influence he has had on my life.”

| Art

Getting Around

Jakob von Uexküll used to say: ‘When a dog runs, the dog moves its legs; when a sea urchin runs, the legs move the sea urchin.’ This assertion was based on the following experiment reported by von Uexküll. A sea urchin was broken in half and the inner sides of both halves of the shell were scraped using sandpaper. The whole of the ambulacral system as well as the nervous system was thus completely removed. Then the two halves were joined together again by means of a spring clasp. The spines of the sea urchin still worked in coordination with one another. In this special case, the riderless horse of von Holst’s parable does indeed exist; the sea urchin’s reaction of fleeing from a star fish still functioned. And in this sense, von Uexkull’s description of a sea urchin being a ‘reflex republic’ is justified, provided one keeps in mind that the ‘reflex’ no longer plays the all-important role ascribed to it during von Uexküll’s time.

— Konrad Lorenz, The Foundations of Ethology, 1982

(Lorenz described this direct mutual influence among the peripheral organs as “a panic spreading among the spines.”)

| Science & Math

Attention to Detail

https://commons.wikimedia.org/wiki/File:Image-Dadd_-_Fairy_Feller%27s.jpg

English artist Richard Dadd had established himself as a painter of fairies and other supernatural subjects when in August 1843 he became convinced that his father was the devil in disguise and killed him with a knife. In the Bethlem psychiatric hospital he was encouraged to continue painting, and when the head steward requested a fairy painting Dadd spent nine years investing The Fairy Feller’s Master-Stroke with minute detail, using a layering technique to create a three-dimensional effect.

He wrote a long poem in which he names and gives a purpose to each character. The painting is now in the Tate Britain collection.

Dadd painted many striking images — the portrait below of one of his doctors, Alexander Morison, hangs in the Scottish National Portrait Gallery.

https://commons.wikimedia.org/wiki/File:Alexander_Morison_Dadd.jpg
(c) National Galleries of Scotland; Supplied by The Public Catalogue Foundation
| Art

Letters and Numbers

ONE + TWO – THREE – FOUR + FIVE = 1

That’s true if we replace each word either with the number it denotes or with the quantity of its letters: Either way we’re left with 1. Another:

ONE + TWO – THREE – FOUR + FIVE – SIX + SEVEN + EIGHT + NINE – TEN + ELEVEN + TWELVE – THIRTEEN – FOURTEEN = 5

These are the only two such sequences using 20 or fewer consecutive number names, found Leonard Gordon, although other sequences of plus and minus signs are possible.

In a separate but related project, Gordon assigned the number names ONE through FIFTEEN, ONE through NINETEEN, and ONE through TWENTY to either side of an equals sign so that the denoted equation is mathematically correct and each equation “balances,” with the same number of letters on each side:

ONE + FOUR + SEVEN + TEN + ELEVEN + THIRTEEN + FOURTEEN = TWO + THREE + FIVE + SIX + EIGHT + NINE + TWELVE + FIFTEEN

ONE + THREE + FIVE + SEVEN + NINE + SIXTEEN + SEVENTEEN + EIGHTEEN + NINETEEN = TWO + FOUR + SIX + EIGHT + TEN + ELEVEN + TWELVE + THIRTEEN + FOURTEEN + FIFTEEN

ONE + THREE + SIX + NINE + TEN + TWELVE + THIRTEEN + FIFTEEN + SEVENTEEN + NINETEEN = TWO + FOUR + FIVE + SEVEN + EIGHT + ELEVEN + FOURTEEN + SIXTEEN + EIGHTEEN + TWENTY

(“Self-Referential Sums Revisited,” in “Kickshaws,” Word Ways 28:3 [August 1995], 170-180.)

| Language · Science & Math

Plea

https://pixabay.com/photos/eiffel-tower-under-construction-1166143/

In 1887, as the Eiffel Tower began to take shape, a “Committee of Three Hundred” led by architect Charles Garnier published a protest in Le Temps:

Honored compatriot, we come, writers, painters, sculptors, architects, passionate lovers of the beauty of Paris — a beauty until now unspoiled — to protest with all our might, with all our outrage, in the name of slighted French taste, in the name of threatened French art and history, against the erection, in the heart of our capital, of the useless and monstrous Eiffel Tower.

Are we going to allow all this beauty and tradition to be profaned? Is Paris now to be associated with the grotesque and mercantile imagination of a machine builder, to be defaced and disgraced? Even the commercial Americans would not want this Eiffel Tower which is, without any doubt, a dishonor to Paris. We all know this, everyone says it, everyone is deeply troubled by it. We, the Committee, are but a faint echo of universal sentiment, which is so legitimately outraged. When foreign visitors come to our universal exposition, they will cry out in astonishment, ‘What!? Is this the atrocity that the French present to us as the representative of their vaunted national taste?’ And they will be right to laugh at us, because the Paris of the sublime Gothic, the Paris of Jean Goujon, of Germain Pilon, Puget, Rude, Barye, etc. will have become the Paris of Monsieur Eiffel.

Listen to our plea! Imagine now a ridiculous tall tower dominating Paris like a gigantic black factory smokestack, crushing with its barbaric mass Notre Dame, Sainte Chapelle, the Tour Saint-Jacques, the Louvre, the dome of Les Invalides, the Arc de Triomphe, all our humiliated monuments, all our dwarfed architecture, which will be annihilated by Eiffel’s hideous fantasy. For twenty years, over the city of Paris still vibrant with the genius of so many centuries, we shall see, spreading out like a blot of ink, the shadow of this disgusting column of bolted tin.

Guy de Maupassant called the tower “this high and skinny pyramid of iron ladders, this giant ungainly skeleton upon a base that looks built to carry a colossal monument of Cyclops, but which just peters out into a ridiculous thin shape like a factory chimney.” It was said that he ate his lunch in the tower’s restaurant each day because it was the one spot in Paris from which the rising structure wasn’t visible.

| History

Unquote

“The difference between America and England is that Americans think 100 years is a long time, while the English think 100 miles is a long way.” –Earle Hitchner

| Quotations

Podcast Episode 343: Operation Cowboy

https://commons.wikimedia.org/wiki/File:Lipicanec_PRMO.jpg

In April 1945, a group of American soldiers learned that hundreds of Lipizzaner horses were being held on a farm in western Czechoslovakia — and set out to rescue them before the Red Army could reach them. In this week’s episode of the Futility Closet podcast we’ll tell the story of Operation Cowboy, one of the strangest episodes of World War II.

We’ll also learn about an NBA brawl and puzzle over a technology’s link to cancer deaths.

See full show notes …

| History · Podcast

Memorial

https://www.flickr.com/photos/socialcriteria/34748537233/
Images: Flickr, Wikimedia Commons

The gravestone of urban planner Ildefons Cerdà has a unique design: It commemorates the Eixample, the distinctive “extension” of Barcelona that Cerdà designed in the 19th century.

| Art · Death

Amplitude

This passage, from E.B. White’s Charlotte’s Web, is often cited as a masterpiece of rhythm — the length of the phrases diminishes with the motion of the swing:

Mr. Zuckerman had the best swing in the county. It was a single long piece of heavy rope tied over the north doorway. At the bottom end of the rope was a fat knot to sit on. It was arranged so that you could swing without being pushed. You climbed a ladder into the hayloft. Then, holding the rope, you stood at the edge and looked down, and were scared and dizzy. Then you straddled the knot, so that it served as a seat. Then you got up all your nerve, took a deep breath, and jumped. For a second you seemed to be falling to the barn floor far below, but then suddenly the rope would begin to catch you, and you would sail through the barn door going a mile a minute, with the wind whistling in your eyes and ears and hair. Then you would zoom upward into the sky, and look up at the clouds, and the rope would twist and you would twist and turn with the rope. Then you would drop down, down, down out of the sky and come sailing back into the barn almost into the hayloft, then sail out again (not quite so far this time), then in again (not quite so high), then out again, then in again, then out, then in; and then you’d jump off and fall down let somebody else try it.

“All that I hope to say in books, all that I ever hope to say, is that I love the world,” White wrote. Though Eudora Welty called Charlotte’s Web “just about perfect,” White never revealed his reason for creating it. “I haven’t told why I wrote the book, but I haven’t told you why I sneeze, either,” he wrote to his editor. “A book is a sneeze.”

| Language · Literature