Climate Music

In 2013, University of Minnesota geography student Daniel Crawford composed “A Song of Our Warming Planet,” a solo cello piece built on climate data. The pitch of each note corresponds to the average annual surface temperature of a year in the range 1880-2012 in data from NASA’s Goddard Institute of Space Studies; each ascending halftone represents roughly 0.03°C in planetary warming.

“Climate scientists have a standard toolbox to communicate their data,” Crawford said. “We’re trying to add another tool to that toolbox, another way to communicate these ideas to people who might get more out of music than maps, graphs, and numbers.”

Below: He later applied the same method to create a string quartet using data from 1880 to 2014. The four parts reflect the average annual temperatures in four regions: the cello the equatorial zone, the viola the mid-latitudes, and the violins the high latitudes and the arctic.

| Art · Science & Math

Board Meeting

Prove that if seven darts land on a dartboard, there will always be two darts that are no farther apart than the distance of one radius.

Click for Answer
| Puzzles

Results

When the coal mines of Vulcan, W.Va., gave out in the early 1960s, the only legal route by which to enter and exit the town was a swinging bridge too narrow to accommodate a vehicle. The 200 remaining residents pleaded with the state to repair the bridge, but no action was taken, and in 1975 the bridge collapsed, leaving the residents hemmed in between a river to the west and impassable mountains to the east, reduced to using a hazardous gravel road owned by the Norfolk and Western Railway. Still state officials were reluctant to rebuild the bridge, noting the limited traffic it would carry and the competing priorities in the state.

So the residents of Vulcan wrote to the Soviet embassy in Washington, requesting foreign aid. Soviet journalist Iona Andronov arrived on Dec. 17, 1977, to survey the problem. “He was sincere,” said resident John Robinette. “The Russians said they would keep an eye on the bridge and see if it were built. If not, they would.”

Within an hour the state announced it would do the work, and today a one-lane bridge connects Vulcan to the outside world. “Our government was afraid the Russians would build the bridge,” Robinette said. “They were embarrassed into it, and nothing will convince me otherwise.”

(Thanks, Paul.)

| Society

Never Mind

https://commons.wikimedia.org/wiki/File:August_M%C3%BCller_Tagebucheintrag.jpg

“I do not remember this day.” — Dorothy Wordsworth, diary, March 17, 1798

“Such a beautiful day, that one felt quite confused how to make the most of it, and accordingly frittered it away.” — Caroline Fox, diary, January 4, 1848

“I shall not remember what happened on this day. It is a blank. At the end of my life I may want it, may long to have it. There was a new moon: that I remember. But who came or what I did — all is lost. It’s just a day missed, a day crossing the line.” — Katherine Mansfield, diary, Jan. 28, 1920

“Wrote nothing.” — Franz Kafka, diary, June 1, 1912

“I awakened feeling dull. The weather is neither cheerful nor depressing. It makes me restless. The trees are tossed by gusty, fantastic wind. The sun is hidden. If I put on my dressing-gown I am too hot, if I take it off I am cold. Leaden day in which I shall accomplish nothing worth while. Tired and apathetic brain! I have been drinking tea in the hope that it would carry this mood to a climax and so put an end to it.” — George Sand, diary, June 1, 1837

Samuel Johnson resolved 14 times “to keep a journal.” The first resolution was in 1760, the last in 1782.

| Literature

A Sleeping Cat

Here’s a surprise: A new geoglyph has been found in the soil of the Nazca Desert in southern Peru.

This one, evidently a cat, appears to be the oldest yet — it may have been engraved in the earth as early as 200 B.C. and has been waiting all this time to be discovered.

“The figure was barely visible and was about to disappear because it is situated on quite a steep slope that’s prone to the effects of natural erosion,” the culture ministry wrote.

“It’s quite striking that we’re still finding new figures,” said chief archaeologist Johny Isla, “but we also know that there are more to be found.”

| Science & Math

Podcast Episode 316: A Malaysian Mystery

https://commons.wikimedia.org/wiki/File:Moonlight_bungalow.jpg
Image: Wikimedia Commons

In 1967, Jim Thompson left his silk business in Thailand for a Malaysian holiday with three friends. On the last day, he disappeared from the cottage in which they were staying. In this week’s episode of the Futility Closet podcast we’ll review the many theories behind Thompson’s disappearance, which has never been explained.

We’ll also borrow John Barrymore’s corpse and puzzle over a teddy bear’s significance.

See full show notes …

| History · Oddities · Podcast

Resource Management

https://commons.wikimedia.org/wiki/File:Wismar_Heilig_Geist_Hof_Nosferatu_01.jpg

Back in 2009 I worried that, if vampires are constantly converting humans, eventually we must all succumb.

Apparently this fear is not unfounded. In 2006 physicists Costas Efthimiou and Sohang Gandhi worked out that if the first vampires had turned up in 1600, if they’d needed to feed only once a month, and if the world population at that time had been 536,870,911 (as estimated), then the vampire population would have increased geometrically and the last human would have succumbed in June 1602, after a bloodbath of only two and half years.

Worse, in 1982 a team of Austrian mathematicians led by R. Haiti and A. Mehlmann found that intelligent vampires could calculate a bloodsucking frequency that would maximize total utility per vampire and keep the human race alive indefinitely — and solutions exist no matter whether they’re “asymptotically satiated vampires,” “blood-maximizing vampires,” or “unsatiable vampires.”

Later they expanded on this to show that cyclical bloodsucking patterns are optimal. That’s not very comforting.

(Dino Sejdinovic, “Mathematics of the Human-Vampire Conflict,” Math Horizons 16:2 [November 2008], 14-15.)

| Science & Math

The Third Card

https://commons.wikimedia.org/wiki/Category:Playing_cards_set_by_Byron_Knoll

Shuffle a deck and deal three cards face down. A friend looks at the cards and turns up two that are the same color. What’s the probability that the remaining card is also of this color?

The answer is not 1/2 but 1/4. Three randomly selected cards might have any of eight equally possible arrangements of color. In only two of these (RRR and BBB) are all the colors the same. So the chance of this happening is 2/8 = 1/4.

(Martin Gardner, “Modeling Mathematics With Playing Cards,” College Mathematics Journal 31:3 [May 2000], 173-177.)

10/18/2020 UPDATE: A number of readers have pointed out that the probabilities here aren’t quite accurate. Gardner was trying to show how various mathematical problems can be illustrated using a deck of cards and contrived this example within that constraint, focusing on the “seeming paradox” of 1/4 versus 1/2. But because the cards are dealt from a finite deck without replacement, if the first card is red then the second card is more likely to be black, and so on. So the final answer here is actually slightly less than 1/4 — which, if anything, is even more surprising, I suppose! Thanks to everyone who wrote in about this.

| Science & Math