“When did the world begin and how?”
I asked a lamb, a goat, a cow:
“What’s it all about and why?”
I asked a hog as he went by:
“Where will the whole thing end and when?”
I asked a duck, a goose, a hen:
And I copied all the answers too,
A quack, a honk, an oink, a moo.
Draw a circle whose circumference is the golden mean. Choose a point and label it 1, then move clockwise around the circle in steps of arc length 1, labeling the points 2, 3, and so on. At each step, the difference between each pair of adjacent numbers on the circle is a Fibonacci number.
Allen Cowan patented this portable milking stool in 1887. From the look of the abstract, he had tested it extensively in actual practice:
In operation, the wearer buckles the waist strap around his or her waist, for this stool is peculiarly adapted for use by women, the stool hanging down behind out of the way, as shown in Fig. l of the drawings, leaving both hands free to carry two pails. As soon as the wearer is ready to sit down to milk, by merely leaning slightly forward, as one sits, the stool swings directly underneath the person, and one can sit down upon it without touching it with the hand.
“If the cow should move away a few feet or commence to kick,” he adds, “the person milking can get up quickly, and catch up the buckets with both hands without paying any attention to the stool, and follow up the cow, sitting down as before.”
Robert Benchley’s favorite joke, according to Harpo Marx in Harpo Speaks!, 1961:
A man gets on the train with his little boy, and gives the conductor only one ticket. ‘How old’s your kid?’ the conductor says, and the father says he’s four years old. ‘He looks at least twelve to me,’ says the conductor, and the father says, ‘Can I help it if he worries?’
While Paulet St. John, Esq., was fox hunting in September 1733, his horse plunged into a chalk pit 25 feet deep. The horse survived and went on to win the Hunters’ Stakes at Winchester the following year.
St. John was so impressed that he erected a monument on Farley Mount, where it stands to this day.
A clever Toronto lawyer was deep into a technical argument before the Supreme Court. His position was dependent upon a close reading of the legal text and turned on the letter of the law. Suddenly the chief justice, Beverley McLachlin, leaned forward and asked the counsel if his argument also worked in French. After all, the law is the law in both languages and a loophole in one tends to evaporate in the other. Only an argument of substance stands up. The lawyer had no idea what to reply.
How long is a coastline? If we measure with a long yardstick, we get one answer, but as we shorten the scale the total length goes up. For certain mathematical shapes, indeed, it goes up without limit.
English mathematician Lewis Fry Richardson discovered this perplexing result in the early 20th century while examining the relationship between the lengths of national boundaries and the likelihood of war. If the Spanish claim that the length of their border with Portugal is 987 km, and the Portuguese say it’s 1,214 km, who’s right? The ambiguity arises because a wiggly boundary occupies a fractional dimension — it’s something between a line and a surface.
“At one extreme, D = 1.00 for a frontier that looks straight on the map,” Richardson wrote. “For the other extreme, the west coast of Britain was selected because it looks like one of the most irregular in the world; it was found to give D = 1.25.”
This is a mathematical notion, but it’s also a practical problem. On the fjord-addled panhandle of Alaska, the boundary with British Columbia was originally defined as “formed by a line parallel to the winding of the coast.” Who gets to define that? On the map below, the United States claimed the blue border, Canada wanted the red one, and British Columbia claimed the green. The yellow border was arbitrated in 1903.
“Life is like playing a violin solo in public and learning the instrument as one goes on.” — Samuel Butler
“Life is like riding a bicycle. To keep your balance you must keep moving.” — Albert Einstein
“Life is not having been told that the man has just waxed the floor.” — Ogden Nash
“You cannot learn to skate without making yourself ridiculous — the ice of life is slippery.” — George Bernard Shaw (quoting the motto of the Cambridge Fabian Society)