Math Notes

122 = 144
212 = 441

132 = 169
312 = 961

What’s in a Name?

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

In 1882, when Texas governor Big Jim Hogg had a daughter, he decided to name her after an epic Civil War poem that her uncle had written.

Unfortunately, the heroine was called Ima.

“My grandfather Stinson lived 15 miles from Mineola and news traveled slowly,” she wrote later. “When he learned of his granddaughter’s name he came trotting to town as fast as he could to protest but it was too late. The christening had taken place, and Ima I was to remain.”

Contrary to local legends, she did not have a sister named Ura.

So Be It

Eleva, Wisconsin, was supposed to be named New Chicago.

But workers painted the letters ELEVA on a local grain elevator and had to stop there when winter fell.

Travelers assumed that was the name of the village, and now it is.

Say It With Constants

MIT mails its acceptance letters on 3/14 — “Pi Day.”

Home for Good

A weird story clings to the ruins of Minster Lovel Manor House, Oxfordshire, the ancient seat of the Lords Lovel. After the battle of Stoke, Francis, the last Viscount, who had sided with the cause of Simnel against King Henry VII., fled back to his house in disguise, but from the night of his return was never seen or heard of again, and for nearly two centuries his disappearance remained a mystery. In the meantime the manor house had been dismantled and the remains tenanted by a farmer; but a strange discovery was made in the year 1708. A concealed vault was found, and in it, seated before a table, with a prayer-book lying open upon it, was the entire skeleton of a man. In the secret chamber were certain barrels and jars which had contained food sufficient to last perhaps some weeks; but the mansion having been seized by the King, soon after the unfortunate Lord Lovel is supposed to have concealed himself, the probability is that, unable to regain his liberty, the neglect or treachery of a servant or tenant brought about this tragic end.

— Allan Fea, Secret Chambers and Hiding-Places, 1908

The Life on Mars Paradox

http://commons.wikimedia.org/wiki/Image:Mars_atmosphere.jpg

What’s the probability that there are horses on Mars? Let’s be extremely generous and say it’s 1/2. And let’s also say there’s a probability of 1/2 that there are parrots, and aardwolves, and each of 17 other species.

Then the probability that none of these 20 species exists is (1/2)20. And the probability that at least one of them exists is 1 – (1/2)20, or 0.999999046.

Thus it’s nearly certain that there’s life on Mars.

In a Word

antivitruvian
adj. taking pleasure in destroying architectural monuments

Take Me Out

Baseball ain’t always pastoral. In 1920, the Yankees’ Carl Mays pitched a dirty ball against Cleveland shortstop Ray Chapman, who apparently didn’t see it coming. The pitch struck Chapman’s head with such a resounding crack that Mays actually fielded the ball to first base. Chapman died 12 hours later, the only major-league player ever to have been killed in a game.

Starstruck

http://en.wikipedia.org/wiki/Image:Leonids-1833.jpg

The annual Leonid meteor shower was unusually spectacular in November 1833, raining a hundred thousand meteors per hour over the eastern United States.

“[There were] thousands of luminous bodies shooting across the firmament in every direction,” wrote the Florence, Ala., Gazette. “There was little wind and not a trace of clouds, and the meteors succeeded each other in quick succession.”

That spectacle is remembered in a unique way — it’s the basis of the jazz standard “Stars Fell on Alabama”:

I never planned in my imagination
A situation so heavenly
A fairy land where no one else could enter
And in the center just you and me

We lived our little drama
We kissed in a field of white
And stars fell on Alabama last night.

The McCollough Effect

http://en.wikipedia.org/wiki/Image:Grid_for_McCollough_effect.png

There’s no color in this image, right? Now scroll down and stare at the colored boxes below. There’s no need to focus on any particular spot, just look at the boxes for a few minutes. Then look at the first image again. The horizontal gratings will look greenish and the vertical gratings pink.

That’s not especially impressive, but come back tomorrow and the effect will still obtain. It’s not a simple afterimage. Print out the grid and carry it around with you. Rotate it 45 and 90 degrees and see what happens. If you invest 10 minutes in looking at the colored boxes, the aftereffect can last up to 24 hours.

No one’s sure what’s behind this phenomenon; its discoverer, Celeste McCollough, thinks the induction temporarily modifies the cells in the visual cortex that respond to color and orientation.

http://en.wikipedia.org/wiki/Image:Red_grid_for_McCollough_effect.png