“Everyone believes in the normal law, the experimenters because they imagine that it is a mathematical theorem, and the mathematicians because they think it is an experimental fact.” — Gabriel Lippmann, in a letter to Henri Poincaré
(Thanks, Tom.)
Unquote
“A portrait is a painting with something wrong with the mouth.” — John Singer Sargent
A Story Without Words
Subtitled “A Novel in Woodcuts,” Lynd Ward’s 1929 parable Gods’ Man unfolds in images, making it an important forebear of the modern graphic novel. A young artist makes his way to the big city, where a masked stranger gives him a magic paintbrush. The adventures that follow remark on the roles of love and commerce in an artist’s life; in the end the stranger returns to claim a reward.
Despite its unusual format, Ward’s book sold more than 20,000 copies during the Depression, and he followed it up with five more wordless novels. When he died in 1985, he was at work on an ambitious seventh, which Rutgers published in 2001.
Brave New World
We instinktivly shrink from eny chaenj in whot iz familyar; and whot kan be mor familyar dhan dhe form ov wurdz dhat we hav seen and riten mor tiemz dhan we kan posibly estimaet? We taek up a book printed in Amerika, and honor and center jar upon us every tiem we kum akros dhem; nae, eeven to see forever in plaes ov for ever atrakts our atenshon in an unplezant wae. But dheez ar iesolaeted kaesez; think ov dhe meny wurdz dhat wood hav to be chaenjd if eny real impruuvment wer to rezult. At dhe furst glaans a pasej in eny reformd speling looks ‘kweer’ or ‘ugly’. Dhis objekshon iz aulwaez dhe furst to be maed; it iz purfektly natueral; it iz dhe hardest to remuuv. Indeed, its efekt iz not weekend until dhe nue speling iz noe longger nue, until it haz been seen ofen enuf to be familyar.
— Walter Ripman and William Archer, New Spelling, 1948
Cotes’ Theorem
The product of the distances from N equally spaced points on a unit circle to a point M that lies on the x axis at distance x from circle origin O and on a line passing through the first point, A0, on the circle equals 1 – xN.
Discovered by Roger Cotes (1682-1716). Here’s a proof.
A Tour of England
From reader Dave King:
A certain young lady of Prinknash
Was looking decidedly thinknash.
Her diet restriction
Had proved an addiction
And caused her to swiftly diminknash.
A hungry young student of Norwich
Went into his larder to forwich.
For breakfast he usually
Had bacon or muesli
But today he would have to have porwich.
An ethical diner at Alnwick
Was suddenly put in a palnwick
“This coffee you’ve made
Are you sure it’s Fair Trade?
And I must insist that it’s orgalnwick!”
A Science don, Gonville and Caius,
Kept body parts in his deep fraius.
He didn’t remember
And one dark November
He ate them with cabbage and paius.
A Frenchman now living at Barnoldswick
Was terribly partial to garnoldswick.
The smell of his breath
Drove one lady to death;
She fell from the ramparts at Harnoldswick.
A forceful young prisoner from Brougham
Was confined to a windowless rougham,
So, venting his feelings,
He bashed through the ceiling,
Dispelling the gathering glougham.
(Thanks, Dave.)
True Love
The 1937 edition of Webster’s Universal Dictionary of the English Language contains this peculiar entry:
jungftak (jŭngf´ täk) n. a fabled Persian bird, the male of which had only one wing, on the right side, and the female only one wing, on the left side; instead of the missing wings, the male had a hook of bone, and the female an eyelet of bone, and it was by uniting hook and eye that they were enabled to fly, — each, when alone, had to remain on the ground.
This appears to be neither an error nor a trap to catch copyright thieves. When scholar Richard Rex asked about it, an associate editor at the dictionary replied, “[W]e have gone through a good many sources and jungftak simply does not show up. It is quite a curiosity, for the various accounts of Persian mythology do not describe such a bird even under another name.” The entry disappears from editions after 1943. Probably it was a joke, but the story behind it is lost.
(Richard Rex, “The Incredible Jungftak,” American Speech 57:4 [Winter 1982], 307-308.)
06/19/2024 UPDATE: Reader Nick Hare offers another fantastic bird: the oozlum, which flies in smaller and smaller circles until it disappears up its own backside. Wikipedia observes drily that this behavior “adds to its rarity.”
06/21/2024 UPDATE: Wow, this is really interesting. Reader Edward White informs me that there’s a bird in Chinese mythology, the biyiniao or linked-wing bird, that closely resembles the jungftak — each biyiniao has one eye and one wing, so they have to pair up to fly. The bird is used as a symbol of married love in poems. Can this be a coincidence?
R.I.P.
Wha lies here? I Johnny Dow. Hoo! Johnny, is that you? Ay, man, but a'm dead now.
— Edinburgh epitaph, quoted in Horatio Edward Norfolk, Gleanings in Graveyards, 1861
Straightforward
D.C.B. Marsh proposed this problem in the American Mathematical Monthly in 1957:
“Solve a3 – b3 – c3 = 3abc, a2 = 2(b + c) simultaneously in positive integers.”
There are a number of ways to go about this, but Raymond Huck of Marietta College found a strikingly simple one. 3abc is positive, so the first equation tells us immediately that b < a and c < a. Add these two facts together and we get b + c < 2a, and hence 2(b + c) < 4a. Substituting this conveniently into the second equation, we learn that a2 < 4a and a < 4. The second equation also shows that a is an even number, so a must be 2, and b and c, which are smaller, must both be 1.
(“Solutions,” American Mathematical Monthly 65:1 [January 1958], 43-46, Problem E1266, via Ross Honsberger, Mathematical Morsels, 1979.)
The Dim Effect
In 2006, German entomologist Jochen-P. Saltin discovered a new species of rhinoceros beetle in Peru, which he dubbed Megaceras briansaltini.
Remarkably, the insect’s horn closely resembles that of Dim, the blue rhinoceros beetle in the Disney film A Bug’s Life, which was released eight years earlier.
“I know of no dynastine head horn that has ever had the shape of the one seen in M. briansaltini, and so its resemblance to a movie character seems like a case of nature mimicking art … or what could be referred to as ‘the Dim Effect,'” wrote entomologist Brett C. Ratcliffe.
“There are numerous examples of art mimicking nature (paintings, sculpture, etc.), but that cannot be the case here, because there had never been a known rhinoceros beetle in nature upon which the creators of Dim could have used as a model for the head horn. In my experience, then, Dim was the first ‘rhinoceros beetle’ to display such a horn, and the discovery of M. briansaltini, a real rhinoceros beetle, came later.”
(Brett C. Ratcliffe, “A Remarkable New Species of Megaceras From Peru [Scarabaeidae: Dynastinae: Oryctini]. The ‘Dim Effect’: Nature Mimicking Art,” The Coleopterists Bulletin 61:3 [2007], 463-467.)