By Sam Loyd. White to mate in two moves.
Fact and Fiction
It is often very hard to tell a fake from an original, even when you know it must be fake. Think about the opening scenes of the movie version of Dan Brown’s The Da Vinci Code. Some scenes were shot in the galleries of the Louvre. The museum would not allow actors Tom Hanks or Audrey Tautou to remove Leonardos from the wall, so those scenes were shot in London. One hundred and fifty paintings from the Louvre were reproduced for the London set, using digital photography. Artist James Gemmill overpainted and glazed each, even copying the craquelure and the wormholes in the frames. When Madonna of the Rocks is removed from the wall, the back of the painting shows the correct stretcher placement and Louvre identification codes.
Dealers in Old Masters who saw the movie and were familiar with the originals in the Louvre confess to not being sure which paintings are copies … The answer is that every painting in the movie that is touched by Hanks or Tautou is a copy. Paintings that appear only as background in the Louvre are real. What happened to James Gemmill’s copies after the scenes were shot? No one will say.
— Don Thompson, The $12 Million Stuffed Shark, 2009
Short Orders
One afternoon the doorbell rang at Peter Sellers’ London flat. Sellers was working in his study upstairs, so his wife Anne answered the door. It was a telegram for her:
BRING ME A CUP OF COFFEE. PETER.
In 1960 Jerry Lewis and Henny Youngman were having lunch at a Miami restaurant when Lewis was mobbed by autograph seekers. Youngman slipped out to the lobby unnoticed and returned as if nothing had happened. Shortly afterward Lewis received a telegram from the hotel bellboy:
DEAR JERRY, PLEASE PASS THE SALT. HENNY.
In a Word
laquearian
adj. armed with a noose
funipendulous
adj. hanging from a rope
patibulary
adj. pertaining to the gallows
On Feb. 23, 1885, convicted murderer John Lee of Devon was brought to the scaffold and positioned on the trapdoor. The noose was fitted around his neck, and executioner James Berry pulled the lever.
Nothing happened.
Two warders tried to force the trapdoor to open under Lee, but they failed. They removed the condemned man and tested the door, and it worked. So they put Lee in position again, and again Berry pulled the lever.
Again nothing happened.
Exasperated, the warders again put Lee aside and set to work on the door, this time with hatchets. When they were satisfied, they returned him to the scaffold, and Berry pulled the lever a third time.
Nothing happened.
So the Home Secretary commuted Lee’s sentence to life imprisonment.
Righteousness
The autobiography of the 12th-century Muslim poet Usama ibn Munqidh tells of an incident in which the invading Crusaders appealed for a doctor to treat some of their number who had fallen ill. The Muslims sent a doctor named Thabit, who returned after 10 days with this story:
They took me to see a knight who had an abscess on his leg, and a woman with consumption. I applied a poultice to the leg, and the abscess opened and began to heal. I prescribed a cleansing and refreshing diet for the woman. Then there appeared a Frankish doctor, who said: ‘This man has no idea how to cure these people!’ He turned to the knight and said: ‘Which would you prefer, to live with one leg or die with two?’ When the knight replied that he would prefer living with one leg, he sent for the strong man and a sharp axe. They arrived, and I stood by to watch. The doctor supported the leg on a block of wood, and said to the man: ‘Strike a mighty blow, and cut cleanly!’ … The marrow spurted out of the leg (after the second blow) and the patient died instantaneously. Then the doctor examined the woman and said: ‘She has a devil in her head who is in love with her. Cut her hair off!’ This was done, and she went back to eating her usual Frankish food … which made her illness worse. ‘The devil has got into her brain,’ pronounced the doctor. He took a razor and cut a cross on her head, and removed the brain so that the inside of the skull was laid bare … the woman died instantly. At this juncture I asked whether they had any further need of me, as they had none I came away, having learnt things about medical methods that I never knew before.
Surrounded
Travel due north, south, east, or west from Stamford, Conn., and you’ll find yourself in New York state.
Sweet Reason
A brainteaser by Chris Maslanka:
A packet of sugar retails for 90 cents. Each packet includes a voucher, and nine vouchers can be redeemed for a free packet. What is the value of the contents of one packet? (Ignore the cost of the packaging.)
Afghan Bands
Most people know that if you cut a Möbius band in two lengthwise you’ll produce one band rather than two. But splitting the ends and joining them also creates some surprising effects.
Starting with the figure above, join ends A and D directly, then pass B under A and join it to E. Now pass C over B and under A; pass F over D and under E; and join C and F. Extend the slits along the length of the band and you’ll have three linked rings.
Now compare this variant, suggested by Ellis Stanyon in 1930: Starting again from the diagram, give E a half-twist to the right and join it to C; give F a half-twist to the right and join it to B; then pass A under B and join it to D (without turning it over). Cut along the two slits and you’ll produce a small ring linked to a large one. What became of the third ring?
There’s a surprisingly simple way to produce a similar effect: Draw a line along the length of a Möbius band, one-third of the way across the strip. Cutting along this line will produce a large band linked to a small one — and this time the small band is itself a Möbius band, on which you can repeat the feat.
You Answer Quite Slowly
What key is “Lucy in the Sky With Diamonds” written in? It’s not easy to say; the harmony is strangely ambiguous. Musicologist Naphtali Wagner found that the song is notated differently in two reasonably authoritative sources, Wise Publications’ The Beatles Complete (1983) and Hal Leonard’s The Beatles: Complete Scores (1993):
And he found that scholars disagree as well:
- Steven Porter believes that it’s in A major, “surrounded by tonicized structural neighbour tones (B♭ major and G major), as a sort of substitute for the absence of a structural dominant.”
- Walter Everett believes it’s in G major, citing a voice-leading graph that opens with the hypothetical notes G and B in the outer voices.
- Allan Moore is ambivalent: The scale steps in the upper voice suggest G major, but the bass line contradicts this, and the key signatures suggest D major.
Wagner shows that a case can be made for three rival interpretations: A major, D major, and G major. “Each is consistent with the Beatles’ harmonic style and has precedents in many other songs.” But he adds that one solution might be to abandon the idea of monotonality and see the song as oscillating between two keys: A in the chorus and pre-chorus and G in the chorus. “This version could be defended with the argument that oscillation between tonal centres separated by a major second is found in other Beatles songs, such as ‘Doctor Robert,’ ‘Good Day Sunshine’ and ‘Penny Lane.'”
(Naphtali Wagner, “The Beatles’ Psycheclassical Synthesis: Psychedelic Classicism and Classical Psychedelia in Sgt. Pepper,” in Oliver Julien, ed., Sgt. Pepper and the Beatles, 2008.)
Unquote
“My living in Yorkshire was so far out of the way, that it was actually twelve miles from a lemon.” — Sydney Smith