A problem from Canada’s 2003 Hypatia contest:
Xavier and Yolanda are playing a game. They begin with two piles of three coins each and take turns; on each turn a player removes one or more coins from any one pile. The winner is the player who takes the very last coin. Xavier always goes first, but Yolanda has a strategy that ensures that she will always win. What is it?
John Smith escaped execution three times. Convicted of housebreaking in 1705, he was hanged at the Tyburn gallows for a quarter of an hour before the people called for a reprieve and he was cut down.
When he had perfectly recovered his senses he was asked what were his feelings at the time of execution; to which he repeatedly replied, in substance, as follows. When he was turned off, he for some time was sensible of very great pain, occasioned by the weight of his body, and felt his spirits in a strange commotion, violently pressing upwards. That having forced their way to his head, he as it were saw a great blaze, or glaring light, which seemed to go out at his eyes with a flash, and then he lost all sense of pain. That after he was cut down, and began to come to himself, the blood and spirits, forcing themselves into their former channels, put him, by a sort of pricking or shooting, to such intolerable pain that he could have wished those hanged who had cut him down.
He returned to housebreaking on his release in 1706, but his strange luck continued: On his second indictment some difficulties in the case induced a panel of judges to set him free, and on his third the prosecutor died before the day of the trial.
The streak ended in 1727, when he was convicted of stealing a padlock and sentenced to transportation. He pleaded for corporal punishment instead but was sent to Virginia that July.
In 1853, a lady at a social dinner challenged explorer Jacques Arago to compose an account of his circumnavigation without using the letter A.
Allegedly she thanked him without using the letter C.
“Whoopee! Man, that may have been a small one for Neil, but that’s a long one for me!” — Pete Conrad, after becoming the third human to set foot on the moon
Suppose … for a moment, all existing space to be bounded, and that a man runs forward to the uttermost borders, and stands upon the last verge of things, and then hurls forward a winged javelin,– suppose you that the dart, when hurled by the vivid force, shall take its way to the point the darter aimed at, or that something will take its stand in the path of its flight, and arrest it? For one or other of these things must happen. There is a dilemma here that you never can escape from.
— Lucretius, De rerum natura
University of Cambridge mathematician Matthew Scroggs has post his annual Christmas puzzle: Behind each day in an advent calendar lies a puzzle with a three-digit answer. Combined, the answers reveal a series of compass directions that lead to Santa’s house. Ten randomly selected people who solve all the puzzles and find Santa’s house will receive prizes. More info here.
In 1903 Robert Falcon Scott made an odd discovery in the Dry Valleys of Antarctica:
[W]e have seen no living thing, not even a moss or a lichen; all that we did find, far inland amongst the moraine heaps, was the skeleton of a Weddell seal, and how that came there is beyond guessing. It is certainly a valley of the dead; even the great glacier which once pushed through it has withered away.
It appears that periodically a crabeater, Weddell, or leopard seal finds its way inland from McMurdo Sound and the Ross Sea and perishes in the punishing environment of the dry valleys, an extreme desert. There the dry conditions mummify its corpse, preserving it in some cases for thousands of years.
Some mummies have been found as much as 41 miles inland and as high as 5,900 feet above sea level, reflecting a heroic effort to find the sea. Mercifully the phenomenon is relatively rare, with a seal becoming lost only once every 4 to 8 years.
“I think it is all right to argue sometimes.”
“I disagree!”
(From Raymond Smullyan.)
George Parker Bidder was born with a surprising gift: He could do complex arithmetic in his head. His feats of calculation would earn for him a university education, a distinguished career in engineering, and fame throughout 19th-century England. In this week’s episode of the Futility Closet podcast, we’ll describe his remarkable ability and the stunning displays he made with it.
We’ll also try to dodge some foul balls and puzzle over a leaky ship.
Can you draw this figure without lifting your pencil from the paper?
