A Leitmotif

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

“Richard Wagner the composer and the number 13 is worthy of note. It takes 13 letters to spell his name; he was born in 1813; these figures added (1, 8, 1, 3) make 13; hence the letters in his name and the sum of the figures of his birth-date make twice 13; he composed exactly 13 great works; ‘Tanhäuser’ was completed April 13, 1845; it was first performed March 13, 1861; he left Buyrenth September 13, 1861; September is the ninth month, and hence 9 added to the figures 1, 3, make 13; finally he died February 13, 1883.”

Miscellaneous Notes and Queries, September 1893

Pitfall

Something queer happened to Seattle in 1954: Citizens began noticing pits in their windshields. These were attributed first to vandals with BB guns, then to the eggs of sand fleas, and then variously to cosmic rays, a change in the planet’s magnetic field, and a new Navy radio transmitter.

As the rumors mounted, University of Washington glass expert Harley Bovee heard even stranger reports: “glass breaking on store counter while customer reported simultaneous itching; man on nearby island who reported seeing small glow near Big Dipper; and man who reported seeing small spheres emerging from auto tailpipes.”

In the week of April 14, police received reports of 4,294 damaged windshields — but then they stopped abruptly.

The culprit, it now appears, was nothing at all. “The hard fact,” said glass expert James Ashley, “is that this seems to be wholly psychological. Certainly there are some marks being found on windshields. But there always have been. If after hearing rumors you hurry out to examine your own windshield closely, you stand a fair chance of being able to find some ‘pits.’” The epidemic is now regarded as a textbook instance of collective delusion.

The Handicap

http://commons.wikimedia.org/wiki/File:Walking_wager_1800_primer_illustration.jpg

Zachary challenges his brother Alexander to a 100-meter race. Alexander crosses the finish line when Zachary has covered only 97 meters.

The two agree to a second race, and this time Alexander starts 3 meters behind the starting line.

If both brothers run at the same speed as in the first race, who will win?

Click for Answer

A Parcel of Palindromes

A milksop, jilted by his lass, or wandering in his wits,
Might murmur, “Stiff, O dairy-man, in a myriad of fits!”
A limner, by photography dead beat in competition,
Thus grumbled, “No, it is opposed; art sees trade’s opposition!”
A nonsense-loving nephew might his soldier-uncle dun
With “Now stop, major-general, are negro jam-pots won?”
A supercilious grocer, if inclined that way, might snub
A child with “But ragusa store, babe, rots a sugar-tub.”
Thy sceptre, Alexander, is a fortress, cried Hephæstion.
Great A. said, “No, it’s a bar of gold, a bad log for a bastion!”
A timid creature, fearing rodents–-mice and such small fry–-
“Stop, Syrian, I start at rats in airy spots,” might cry.
A simple soul, whose wants are few, might say, with hearty zest,
“Desserts I desire not, so long no lost one rise distressed.”
A stern Canadian parent might in earnest, not in fun,
Exclaim, “No sot nor Ottawa law at Toronto, son!”
A crazy dentist might declare, as something strange or new,
That “Paget saw an Irish tooth, Sir, in a waste gap!” True!
A surly student, hating sweets, might answer with élan,
“Name tarts? No, medieval slave, I demonstrate man!”
He who in Nature’s bitters findeth sweet food every day,
“Eureka! till I pull up ill I take rue,” well might say.

Harper’s New Monthly Magazine, June 1873

Tupper’s Self-Referential Formula

tupper's self-referential formula

Graph this formula over 0 ≤ x ≤ 106 and kyk + 17, with k = 96093937991895888497167
29621278527547150043396601293066515055192717028023952664246896428421743
50718121267153782770623355993237280874144307891325963941337723487857735
74982392662971551717371699516523289053822161240323885586618401323558513
60488286933379024914542292886670810961844960917051834540678277315517054
05381627380967602565625016981482083418783163849115590225610003652351370
34387446184837873723819822484986346503315941005497470059313833922649724
94617515457283667023697454610146559979337985374831437868418065934222278
98388722980000748404719, and you get this:

http://commons.wikimedia.org/wiki/File:Tupper's_self_referential_formula_plot.png

Reasonable enough, right?

Unquote

“If one only wished to be happy, this could be easily accomplished; but we wish to be happier than other people, and this is always difficult, for we believe others to be happier than they are.” — Montesquieu