An Early iPod

J.G. Christopher, of Minneapolis, Minn., is the possessor of a canary bird, the voice of which has been developed in a peculiarly painstaken manner, so that now this ‘educated’ songster can successfully render the well-known air, ‘A Life on the Ocean Wave.’ The bird will commence to warble like any other of these pets, and after uttering a few notes will immediately strike into the tune, and when its voice has attained full height the above tune will be sung entire, and in a manner that sounds singularly melodious and attractive, literally setting to note its natural vocal powers. This was only achieved after the most diligent and patient attention. As soon as the bird was old enough to pick up a living it was put in a room apart from all others, and a music-box also placed in the apartment and kept perpetually going, so that this singular pupil had nothing to learn from but that. After four months of such apprentice-ship, the owner was rewarded by hearing his little favorite render ‘A Life on the Ocean Wave’ as naturally and perfectly as if that was the song of its ancestors.

— James Baird McClure, ed., Entertaining Anecdotes From Every Available Source, 1879

Sitting In

http://commons.wikimedia.org/wiki/File:Ford-Oval_Office-Pipe.jpg

Gerald Ford served as both vice president and president but was elected to neither office.

He was appointed to the vice presidency when Spiro Agnew resigned, and he succeeded Richard Nixon as president.

Riddle

If there was a time when nothing existed, then there must have been a time before that — when even nothing did not exist. Suddenly, when nothing came into existence, could one really say whether it belonged to the category of existence or of non-existence?

— Chuang-Tzu

Kindled Ambition

http://books.google.com/books?id=bbURAAAAYAAJ&printsec=frontcover#v=onepage&q&f=false

From Strand, January 1898: When match manufacturers S.I. Moreland and Sons challenged their customers to create “the greatest novelty of any sort that can be made with not less than 1,000 of our match-boxes,” G.W. Roberts of Birmingham submitted a full-size piano composed of 3,776 matchboxes and 5 pounds of glue.

http://books.google.com/books?id=bbURAAAAYAAJ&printsec=frontcover#v=onepage&q&f=false

Among other entries, F. Marshall’s 10-foot-6-inch model of the Forth Bridge is a marvel of engineering — other than 3,000 matchboxes, “no material whatever is used in the construction of the bridge — not even in the stays. When completed it stood the test of 42 lb. weight in the centre of either arch. I never saw the original bridge, but got an idea of it from a lithograph in a railway guide.”

http://books.google.com/books?id=bbURAAAAYAAJ&printsec=frontcover#v=onepage&q&f=false

And above is a model of Nelson’s ship Victory passing a large lighthouse, by Mr. Grubb of Atherstone, who worked three hours a night for five months. The ship is 3 feet 6 inches long and the lighthouse 5 feet 2 inches high.

The Strand also reports that a Lewis Sheldon constructed a double-masted turret ship-of-war 8 feet 3 inches long that carried 15 guns and six lifeboats, all made out of matchboxes. Sadly, they don’t include a photo.

“The Cavalry Skirmish”

the cavalry skirmish

This puzzle, by Les Marvin and Sherry Nolan, appeared in the Journal of Recreational Mathematics in 1977. “White to play in the adjoining diagram. If both players play optimally, will White win, lose, or draw?”

I don’t believe JRM ever published the solution. My stab: Either king is vulnerable to a check from the bishop file, and White will win a straight race. So I think Black must play defense. But if White attacks c7 with both knights and Black defends it doubly, then White can simply trade off all four knights (1. Nc7+ Nxc7 2. Nxc7+ Nxc7 bxc7) and the pawn will queen. So I think White wins.

This isn’t a very “mathematical” solution, but I can’t find a reliable alternative involving the parity of the knights’ moves, which seems to be what’s expected. Any ideas?

06/06/2014 UPDATE: A reader ran this position through a couple of strong chess engines and finds that it’s likely a draw — here’s one example:

[Event “?”]
[Site “?”]
[Date “????.??.??”]
[Round “?”]
[White “?”]
[Black “?”]
[Result “*”]
[FEN “k6n/Pp4n1/1P6/8/8/6p1/1N4Pp/N6K w – – 0 1”]

1.Nd1 Nf7 2.Nc2 Ne5 3.Nce3 Nd7 4.Nd5 Nxb6 5.Nxb6+ Kxa7 6.Nc8+ Ka6 7.Ne3 b5 8.Nd6 b4 9.Ne4 Nh5 10.Nc2 Kb5 11.Nxb4 Kxb4 12.Nxg3 Nxg3+ 13.Kxh2 Nf1+ 14.Kh3 Ne3 15.g4 Kb3 16.g5 Nd5 17.g6 Nf4+ 18.Kg3 Nxg6

There doesn’t seem to be a sure way for either side to reach a win. I suspect that Marvin and Nolan thought otherwise, but they were writing in 1977, without the benefit of computer analysis. Without a published solution, we can’t be sure.

(Thanks, Emilio.)

A Lasting Gift

http://commons.wikimedia.org/wiki/File:Richard_Evelyn_Byrd.jpg

Letter from Richard Byrd to his son shortly after establishing Marie Byrd Land, Feb. 22, 1929:

Dear Dickie–

I have named a big new land after mommie because mommie is the sweetest finest and nicest and best person in the world. Take good care of her and be awfully sweet to her while I’m away.

I love you my dear boy.

Daddy
Little America
Antarctica

Give and Take

http://commons.wikimedia.org/wiki/File:M%C3%A4rket_Island_map.svg

The rocky island of Märket lies in the Baltic Sea between Sweden and Finland. When the Finns put a lighthouse on it in 1885, they unwittingly put it on Swedish territory.

This created a problem: Without moving the lighthouse or altering the coastline, the parties had to find a way to reapportion the island equitably according to their agreement.

The solution was to draw a reverse S on the map: Sweden grants Finland the lighthouse, but it gains a corresponding incursion into Finnish territory, so the island’s balance is restored.

It must be tricky to play croquet, though.

Somewhat related: The Tehachapi Loop.

The Ghost Plane

On Dec. 8, 1942, American forces in Kienow, China, spotted an unidentified plane heading toward them on a beeline from Formosa. Pilots Bob Scott and Johnny Hampshire approached it and discovered it was an old American P-40B Tomahawk bearing an insignia that hadn’t been seen since Pearl Harbor. The pilot would not identify himself.

Fearing a trick by the Japanese, Scott and Hampshire fired briefly on the plane, but it sought neither to evade them nor to counterattack. Scott moved to the plane’s farther side and saw that it had been badly damaged before they came upon it — the canopy had been shot away, the right aileron was gone, and part of the wing was missing. The pilot’s head was slumped on his chest. Strangest of all, the P-40B had no landing gear — the wheel wells were empty.

Scott and Hampshire lost the plane in a cloud bank and then saw it crash in a rice paddy below. Who was the pilot, and where had the strange plane come from? No one knows, but after years of research Scott evolved a conjecture that it had been assembled by a small group of Air Corps personnel who had retreated from Bataan to Corregidor and then to Mindanao. If this is true it must have flown more than 1,000 miles through enemy airspace to reach China.

Japanese records confirm that there was an American P-40 over Formosa on Dec. 8, 1942, but where it came from, where it was headed, and indeed how it even got airborne remain a mystery.