Misc

  • Samuel Johnson said that sending a timid boy to a public school is “forcing an owl upon day.”
  • Inscribed over the door of the library at Murcia, Spain: “Here the dead open the eyes of the living.”
  • TRICE in Pig Latin is ICE TRAY.
  • 35 × 1482 × 9760 = 3514829760 (Jean-Marc Falcoz)
  • “Mauve is pink trying to be purple.” — Whistler

Pekwachnamaykoskwaskwaypinwanik Lake is a lake in Manitoba. Its name is Cree for “where the wild trout are caught by fishing with hooks.”

Muckanaghederdauhaulia, a townland in County Galway, means “pig-marsh between two sea inlets.”

Saaranpaskantamasaari, an island in northeastern Finland, means “an island shat by Saara.”

Mamungkukumpurangkuntjunya is a hill in South Australia. Its name means “where the devil urinates.”

(Thanks, Colin.)

An Unanswered Question

One of the most beautiful and moving of the bird-songs heard throughout the country which [French merchant Nicolas] Denys governed [in 17th-century Acadia], is that of the Veery, or Wilson’s Thrush. The Maliseet Indians of the Saint John River, as Mr. Tappan Adney has recently told us, say this bird is calling Ta-né-li-ain′, Ni-kó-la Dĕn′-i Dĕn′-i?, that is, ‘Where are you going, Nicolas Denys?’ and Mr. Adney thinks this an actual echo from the days of our author.

— From William Francis Ganong’s 1908 introduction to Denys’ Description and Natural History of the Coasts of North America, 1672

Coverup

https://commons.wikimedia.org/wiki/File:Moser_worm_problem.svg
Image: Wikimedia Commons

Suppose you have a publicity-seeking inchworm and want to keep him to yourself. What’s the smallest cover you can contrive to keep him hidden? He can writhe into any shape that an inch-long creature can take; you must always be able to turn your shape to keep him covered.

Strangely, we don’t yet know the answer to this question. Mathematician Leo Moser first posed it in 1966, and various proposals have driven the upper bound as low as π/12 ≈ 0.2618, but we still don’t know whether smaller covers are possible. It’s known as Moser’s worm problem.

Early Adopter

At the start of H.G. Wells’ 1895 novella The Time Machine, the Time Traveller explains to his friends that “any real body must have extension in four directions: it must have Length, Breadth, Thickness, and — Duration.” This idea, of conceiving time as a fourth dimension, had been broached in the 18th century, but it had first been treated seriously in a mysterious letter to Nature in 1885:

“I [propose] to consider Time as a fourth dimension of our existence. … Since this fourth dimension cannot be introduced into space, as commonly understood, we require a new kind of space for its existence, which we may call time-space.”

The letter writer identified himself only as “S.” Was this Wells? Apparently not: In his 1934 Experiment in Autobiography Wells wrote, “In the universe in which my brain was living in 1879 there was no nonsense about time being space or anything of that sort. There were three dimensions, up and down, fore and aft and right and left, and I never heard of a fourth dimension until 1884 or there-about. Then I thought it was a witticism.”

So someone had anticipated Wells’ idea by a full decade. As far as I know, his identity has never been discovered.

(Via Paul J. Nahin, Holy Sci-Fi!, 2014.)

Round and Square

This rank impossibility by Kokichi Sugihara won second prize in the Neural Correlate Society’s 2016 illusion of the year contest.

The key is that the top of each cylinder is not a planar curve. Dickinson College mathematician David Richeson has created an interactive applet that you can use to examine the shape, and see his paper below for an explanation of the math and the template of a paper model.

(David Richeson, “Do the Math!: Sugihara’s Impossible Cylinder,” Math Horizons 24:1 [September 2016], 18-19.)

Reciprocity Redux

sallows reciprocity post

From Lee Sallows:

“The above three strips of ten numbers have an intriguing property. They record how many times each of the decimal digits (shown at left) occur in the other two strips. Hence the 6 in the left-hand strip identifies the number of 0’s in strips B and C, while the 2 in the centre strip counts the number of 3’s present in strips A and C. Moreover, the same property holds for every number in all three strips.”

See Reciprocation.

(Thanks, Lee.)

Org Chart

https://commons.wikimedia.org/wiki/File:72_Goeta_sigils.png
Image: Wikimedia Commons

Say what you will about hell, it’s very well organized. According to the 17th-century grimoire Ars Goetia, the underworld is ruled by 72 demons, each with its own sigil (above) and served by a sort of infernal bureaucracy:

Aim (also Aym or Haborym) is a Great Duke of Hell, very strong, and rules over twenty-six legions of demons. He sets cities, castles and great places on fire, makes men witty in all ways, and gives true answers concerning private matters. He is depicted as a man (handsome to some sources), but with three heads, one of a serpent, the second of a man, and the third of a cat to most authors, although some say of a calf, riding a viper, and carrying in his hand a lit firebrand with which he sets the requested things on fire.

Wikipedia has a page explaining who does what.

Related: Belphegor’s prime, 1000000000000066600000000000001, is a palindromic prime number with 666 at its heart and 13 zeros on either side. It was discovered by Harvey Dubner; Clifford Pickover named it after a prince of hell responsible for helping people make ingenious inventions and discoveries.