Gatherings

“I like large parties. They’re so intimate. At small parties there isn’t any privacy.” — Jordan Baker in The Great Gatsby

“At any gathering I always feel as though I am the youngest person in the room.” — W.H. Auden

“The difference between what is commonly called ordinary company and good company, is only hearing the same things said in a little room or in a large saloon, at small tables or at great tables, before two candles or twenty sconces.” — Pope, Thoughts on Various Subjects, 1727

The Miura Fold

https://commons.wikimedia.org/wiki/File:Miura-Ori_CP.svg
Image: Wikimedia Commons

In 1980, Japanese astrophysicist Kōryō Miura worked out a pattern of parallelograms that permit a map to be folded much more compactly than conventional right-angle creases. So efficient is the pattern that a map can be opened or refolded with a single motion by pulling on opposite ends, rather like an accordion. Today it’s used to fold surgical devices, furniture, and solar panel arrays on spacecraft.

“The Sniffle”

In spite of her sniffle
Isabel’s chiffle.
Some girls with a sniffle
Would be weepy and tiffle;
They would look awful,
Like a rained-on waffle,
But Isabel’s chiffle
In spite of her sniffle.
Her nose is more red
With a cold in her head,
But then, to be sure,
Her eyes are bluer.
Some girls with a snuffle,
Their tempers are uffle.
But when Isabel’s snivelly
She’s snivelly civilly,
And when she’s snuffly
She’s perfectly luffly.

— Ogden Nash

Quick Thinking

During lunch one day at Los Alamos, Richard Feynman told his colleagues, “I can work out in sixty seconds the answer to any problem that anybody can state in ten seconds, to 10 percent!”

He had completed several challenges when mathematician Paul Olum walked past.

‘Hey, Paul!’ they call out. ‘Feynman’s terrific! We give him a problem that can be stated in ten seconds, and in a minute he gets the answer to 10 percent. Why don’t you give him one?’

Without hardly stopping, he says, ‘The tangent of 10 to the 100th.’

“I was sunk: you have to divide by pi to 100 decimal places! It was hopeless. … He was a very smart fellow.”

(From Surely You’re Joking, Mr. Feynman!, 1985.)

A Medieval Mystery

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In this 1515 painting, The Adoration of the Christ Child, the angel immediately to Mary’s left appears to bear the characteristic facial features of Down syndrome (click to enlarge). This would make the painting one of the earliest representations of the syndrome in Western art.

Unfortunately, little is known about it. The Metropolitan Museum of Art, which owns it, has identified the painter only as a “follower of Jan Joest of Kalkar.” Researchers Andrew Levitas and Cheryl Reid have suggested that the painting may indicate that individuals with Down syndrome were not regarded as disabled in medieval society. But so little is known about the work or its creator that it’s hard to establish a reliable conclusion.

“After all the speculations, we are left with a haunting late-medieval image of a person with apparent Down syndrome with all the accouterments of divinity. It is impossible to know whether any disability had been recognized or whether it simply was not relevant in that time and place.”

(Andrew S. Levitas and Cheryl S. Reid, “An Angel With Down Syndrome in a Sixteenth Century Flemish Nativity Painting,” American Journal of Medical Genetics Part A 116:4 [2003], 399-405.) (Thanks, Serge.)

The Studious Bather

A puzzle from Chris Maslanka’s The Pyrgic Puzzler, 1987:

A bathtub will fill in 3 minutes if the plug is in and the cold tap only is turned on full. It will fill in 4 minutes if the plug is in and the hot tap only is turned on full. With the plug out and both taps off, a full tub will drain in 2 minutes. How long will it take to fill the empty tub if the plug is out and both taps are turned on full?

Click for Answer

“Dry Pants Eat No Fish”

Bulgarian proverbs:

  • Hunger sees nothing but bread.
  • In every village is the grave of Christ.
  • The clean gets dirty more easily.
  • The devil knows everything except where women sharpen their knives.
  • Forests have eyes, meadows ears.
  • God’s feet are of wool; his hands are of iron.
  • One guest hates the other, and the host both.
  • Do not lie for lack of news.
  • The oversaintly saint is not pleasing even unto God.
  • Man is ever self-forgiving.
  • God does not shave — why should I?
  • A long dark night — the year.
  • Do not salt other people’s food.
  • Become a sheep and you will see the wolf.
  • The smaller saints will be the ruin of God.
  • Where there is union a bullet can swim.
  • The wife carries her husband on her face; the husband carries his wife on his linen.
  • When a wool merchant speaks of sheep he means cloth.

And “God is not sinless. He created the world.”

Row and Columns

A problem from the 2011 Moscow Mathematical Olympiad: In a certain square matrix, the sum of the two largest numbers in each row is r and the sum of the two largest in each column is c. Show that r = c.

Click for Answer

Unquote

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Image: Wikimedia Commons

“It is a well-known fact, too, that in the ancient world in which the entire population were non-smokers, crime of the most horrid type was rampant. It was a non-smoker who committed the first sin and brought death into the world and all our woe. Nero was a non-smoker. Lady Macbeth was a non-smoker. Decidedly, the record of the non-smokers leaves them little to be proud of.” — Robert Lynd