“Three Sundays in a Week”

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In 1841 Edgar Allan Poe pointed out the confusion that can result when a ship reckons time while circling the world. Captain Smitherton and Captain Pratt have just returned from circumnavigating the globe, one traveling eastward and the other westward, while Kate and her father Mr. Rumgudgeon have remained in London. On reuniting, they discover some confusion: Captain Pratt thinks that tomorrow will be Sunday, Smitherton thinks that yesterday was Sunday, and Kate and Rumgudgeon think that today is Sunday. Finally Smitherton says:

What fools we two are ! — Mr. Rumgudgeon, the matter stands thus: The earth, you know, is, in round numbers, twenty-four thousand miles in circumference. Now the earth turns on its own axis, spins round, these twenty-four thousand miles, going from west to east, in precisely twenty-four hours. Well, sir, that is at the rate of one thousand miles an hour.

Now suppose that I sail from this position a thousand miles east. Of course, I anticipate the rising of the sun here at London by just one hour. I see the sun rise one hour before you do. Proceeding in the same direction yet another thousand miles, I anticipate the rising by two hours; another thousand, and I anticipate it by three hours: and so on, until I go entirely round the globe, and back to this spot, when having gone twenty-four thousand miles east, I anticipate the rising of the London sun by no less than twenty-four hours; that is to say, I am a day in advance of your time. Understand?

But Captain Pratt, when he had sailed a thousand miles west of this position, was an hour, and when he had sailed twenty-four thousand miles was twenty-four hours, or one day, behind the time at London. Thus, with me, yesterday was Sunday; thus, with you, to-day is Sunday; and thus, with Captain Pratt, to-morrow will be Sunday. And what is more, Mr. Rumgudgeon, it is positively clear that we are all right.

Mr. Rumgudgeon, who had forbidden Kate to marry until there were “three Sundays in a week,” now relents. Too bad for him — the international date line would shortly obviate the problem.

Doom Roulette

http://www.google.com/patents/US4834657

With Jose Gonzalez’ “punishment wheel,” patented in 1989, a misbehaving child can randomly choose the punishment he’ll receive. “From the child’s point of view, it appears that an inanimate object is choosing and imposing the punishment, instead of his parents. Direct parent-child conflict is thereby eliminated.”

Available punishments, provided on decals, include NO TV, TIME OUT, GROUNDED, 2ND CHANCE, NO DESSERT, DONATE A TOY, PARENT’S CHOICE, K.P., NO ALLOWANCE, NO SPORTS, NO PHONE, NO FRIENDS, KID’S CHOICE, SWATS [a spanking], NO VISITING, NO TREAT, and HOUSE CHORES. But “the punishments need not be those shown in Fig. 4, but could be any set of punishments, expressed in any language, deemed suitable for the disciplinary style of particular parents and degree of maturity of their child.”

Pro Tips

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“Dancing is a sweat job. … When you’re experimenting you have to try so many things before you choose what you want, that you may go days getting nothing but exhaustion. This search for what you want is like tracking something that doesn’t want to be tracked. It takes time to get a dance right, to create something memorable. There must be a certain amount of polish to it. I don’t want it to look anything but accomplished, and if I can’t make it look that way, then I’m not ready yet. I always try to get to know my routine so well that I don’t have to think, ‘What comes next?’ Everything should fall right into line, and then I know I’ve got control of the bloody floor.” — Fred Astaire

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“How to hit home runs: I swing as hard as I can, and I try to swing right through the ball. In boxing, your fist usually stops when you hit a man, but it’s possible to hit so hard that your fist doesn’t stop. I try to follow through in the same way. The harder you grip the bat, the more you can swing it through the ball, and the farther the ball will go. I swing big, with everything I’ve got. I hit big or I miss big. I like to live as big as I can.” — Babe Ruth

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“Don’t get discouraged because there’s a lot of mechanical work to writing. … I rewrote the first part of A Farewell to Arms at least fifty times. … The first draft of anything is shit. When you first start to write you get all the kick and the reader gets none, but after you learn to work it’s your object to convey everything to the reader so that he remembers it not as a story he has read but something that has happened to himself. That’s the true test of writing.” — Ernest Hemingway

A-Roving

spirit of byron

“The Spirit of Byron,” a popular English print, circa 1830.

A footnote in Byron’s Don Juan mentions a rhyming contest between John Sylvester and Ben Jonson:

“I, John Sylvester, lay with your sister.”

“I, Ben Jonson, lay with your wife.”

“That is not rhyme.”

“No, but it is true.”

Boxing Match

boxing match

A large rectangle is partitioned into smaller rectangles, each of which has either integer height or integer width (or both). Prove that the large rectangle itself must have integer height or integer width.

Click for Answer

A Few Lines

Letter from escaped slave Jackson Whitney to his former master, March 18, 1859:

Mr. Wm. Riley, Springfield, Ky. — Sir: I take this opportunity to dictate a few lines to you, supposing you might be curious to know my whereabouts. I am happy to inform you that I am in Canada, in good health, and that robbing a woman of her husband, and children of their father does not pay, at least in your case; and I thought, while lying in jail by your direction, that if you had no remorse of conscience that would make you feel for a poor, broken-hearted man, and his worse-than-murdered wife and child, and could not be made to feel for others as you would have them feel for you, and could not by any entreaty or permission be induced to do as you promised you would, which was to let me go with my family for $800 — but contended for $1,000, when you had promised to take the same you gave for me (which was $660.) at the time you bought me, and let me go with my dear wife and children! but instead would render me miserable, and lie to me, and to your neighbors (how if words mean anything, what I say is so.) and when you was at Louisville trying to sell me! then I thought it was time for me to make my feet feel for Canada, and let your conscience feel in your pocket. — Now you cannot say but that I did all that was honorable and right while I was with you, although I was a slave. I pretended all the time that I thought you, or some one else had a better right to me than I had to myself, which you know is rather hard thinking. — You know, too, that you proved a traitor to me in the time of need, and when in the most bitter distress that the human soul is capable of experiencing: and could you have carried out your purposes there would have been no relief. But I rejoice to say that an unseen, kind spirit appeared for the oppressed, and bade me take up my bed and walk — the result of which is that I am victorious and you are defeated.

I am comfortably situated in Canada, working for George Harris, one of the persons that act a part in ‘Uncle Tom’s Cabin.’ He was a slave a few years ago in Kentucky, and now owns a farm so level that there is not hills enough on it to hide a dog, yet so large that I got lost in it the other day. He says that I may be the means of helping poor fugitives and doing them as much good as he does, in time.

This country is not what it has been represented to me and others to be. In place of its being cold and barren, it has beautiful, comfortable climate, and fertile soil. It is much more desirable in those respects than any part of Kentucky that I ever saw. There is only one thing to prevent me being entirely happy here, and that is the want of my dear wife and children, and you to see us enjoying ourselves together here. I wish you could realize the contrast between Freedom and Slavery; but it is not likely that we shall ever meet again on this earth. But if you want to go to the next world and meet a God of love, mercy, and justice, in peace; who says, ‘Inasmuch as you did it to the least of them my little ones, you did it unto me’ — making the professions that you do, pretending to be a follower of Christ, and tormenting me and my little ones as you have done — had better repair the breaches you have made among us in this world, by sending my wife and children to me; thus preparing to meet your God in peace; for, if God don’t punish you for inflicting such distress on the poorest of His poor, then there is no use of having any God, or talking about one. But, in this letter, I have said enough to cause you to do all that is necessary for you to do, providing you are any part of the man you pretend to be. So I will close by saying that, if you see proper to reply to my letter, either condemning or justifying the course you have taken with me, I will again write you.

I hope you will consider candidly and see if the case does not justify every word I have said, and ten times as much. You must not consider that it is a slave talking to ‘massa’ now, but one as free as yourself.

I subscribe myself one of the abused of America, but one of the justified and honored of Canada.

Jackson Whitney