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Rest the ends of a yardstick on your index fingers. Now slowly draw your fingers together, trying to make them meet at some spot other than the center of the stick.

It’s impossible. When either finger leads, it bears more weight, which creates more friction, and the other catches up.

A Hiking Puzzle

http://www.sxc.hu/photo/311125

Suppose a man sets out to climb a mountain at sunrise, arriving at the top at sunset. He sleeps at the top and descends the following day, traveling somewhat more quickly downhill. Prove that there’s a point on the path that he will pass at the same time on both days.

Click for Answer

The Brass Menagerie

Amongst the curiosities of his day, Walchius mentions an iron spider of great ingenuity. In size it did not exceed the ordinary inhabitants of our houses, and could creep or climb with any of them, wanting none of their powers, except, of which nothing is said, the formation of the web. Various writers of credit, particularly Kircher, Porta, and Bishop Wilkins, relate that the celebrated Regiomontanus, (John Muller,) of Nuremberg, ventured a loftier flight of art. He is said to have constructed a self-moving wooden eagle, which descended toward the Emperor Maximilian as he approached the gates of Nuremberg, saluted him, and hovered over his person as he entered the town. This philosopher, according to the same authorities, also produced an iron fly, which would start from his hand at table, and after flying round to each of the guests, returned as if wearied, to the protection of his master.

Cabinet of Curiosities, Natural, Artificial, and Historical, 1822

Moe Berg

http://en.wikipedia.org/wiki/Image:MoeBergRedSox.gif

Catcher Moe Berg earned his reputation as “the brainiest guy in baseball.” At Princeton, where he studied seven languages, he communicated plays in Latin with the second baseman, and he later attended Columbia Law School and the Sorbonne while reading 10 newspapers a day. After 15 undistinguished seasons as a ballplayer, he went to work as a spy during World War II, parachuting into Yugoslavia for the Office of Strategic Services and interviewing Italian physicists about the German nuclear program. (He chose not to shoot Werner Heisenberg.) His is the only baseball card on display at CIA headquarters.

Berg was awarded the Presidential Medal of Freedom in 1945, but he spent the last 20 years of his life living quietly with siblings. He declined to write a memoir, so much of his life is still a mystery. When asked why he had “wasted” his intellectual gifts on baseball, he said, “I’d rather be a ballplayer than a justice on the U.S. Supreme Court.” His final words were “How did the Mets do today?”

Cold Case

http://commons.wikimedia.org/wiki/File:Death_of_William_Rufus.JPG

A son of William the Conqueror, William II of England is remembered mostly for the curious manner of his death. In August 1100, William organized a hunting expedition in the New Forest. In sharing arrows with the Anglo-Norman nobleman Walter Tirel, he said, “It is only right that the sharpest be given to the man who knows how to shoot the deadliest shots.” That was tempting fate, apparently: The king did not return after the hunt, and his body was discovered the next day with an arrow piercing his lungs.

Walter fled to France, but chroniclers generally don’t consider him a murderer. He was a skilled bowman, unlikely to fire impetuously, and the abbot who sheltered him in France heard him swear repeatedly that he had not been in the part of the forest where the king was hunting. On the other hand, William’s brother Henry was also in the hunting party, and he stood to gain (and did) from William’s death.

So what really happened? We’ll never know.

Tit for Tat

What’s unusual about this position?

leathem chess puzzle - 28 checks

Twenty-eight consecutive checks:

1. c7+ N(8)xc7+ 2. bxc7+ Nxc7+ 3. dxc7+ Ke7+ 4. g8(=N)+ Rxg8+ 5. hxg8(=N)+ Qxg8+ 6. f8(=B)+ Qxf8+ 7. Qe8+ Qxe8+ 8. d8(=Q)+ Qxd8+ 9. c8(=N)+ Rxc8+ 10. bxc8(=N)+ Qxc8+ 11. Bb8+ Bxe4+ 12. Nd5+ Bxd5+ 13. Nc6+ Bxc6+ 14. Rb7+ Qxb7 mate

(Composed by Leathem.)

“Intermarriage”

Mr. Hardwood had two daughters by his first wife, the eldest of whom was married to John Coshick: this Coshick had a daughter by his first wife whom old Hardwood married, and by her had a son; therefore John Coshick’s second wife could say:

My father is my son, and I’m my mother’s mother;
My sister is my daughter, and I’m grandmother to my brother.

The Cabinet of Curiosities, 1824

A Universal Solution

In 1965, Dmitri Borgmann noted that this expression:

11 + 2 – 1 = 12

… is valid also when interpreted as a set of characters:

11 “+ 2” = 112; 112 “- 1” = 12

… as a set of Roman numerals:

XI + II = XIII; XIII – I = XII

… and even as a set of letters:

ELEVEN + TWO = ELEVENTWO
ELEVENTWO – ONE = LEVETW (= TWELVE)

The Musical Stones of Skiddaw

http://en.wikipedia.org/wiki/Image:Richardsons.jpg

In 1827, Keswick stonemason Joseph Richardson noticed that certain rocks in Britain’s Lake District gave a pure, ringing tone. After 13 years of effort he produced a lithophone, an arrangement of tiered rocks that one struck with mallets, and he took it on a three-year concert tour through Northern England.

It’s not clear what it sounded like: Richardson and his three sons played Mozart, Beethoven, and Handel, reportedly achieving different effects by striking the stones in different ways. An 1846 newspaper account says the tone varied from the warble of a lark to the bass of a funeral bell. Richardson called it “the resource of a shipwrecked Mozart.”

By 1848 they were performing for the queen and traveling to France, Germany, and Italy. On the eve of a trip to America, though, the youngest son died of pneumonia, and the band retired. Richardson’s great-grandson donated the instrument to a museum in 1917.