Podcast Episode 105: Surviving on Seawater

alain bombard

In 1952, French physician Alain Bombard set out to cross the Atlantic on an inflatable raft to prove his theory that a shipwreck victim can stay alive on a diet of seawater, fish, and plankton. In this week’s episode of the Futility Closet podcast we’ll set out with Bombard on his perilous attempt to test his theory.

We’ll also admire some wobbly pedestrians and puzzle over a luckless burglar.

See full show notes …

Podcast Episode 102: The Bunion Derby

https://www.flickr.com/photos/kaibabnationalforest/5734775201
Image: Flickr

In 1928, 199 runners set out on a perilous 3,400-mile footrace across America, from Los Angeles to Chicago and on to New York. The winner would receive $25,000 — if anyone finished at all. In this week’s episode of the Futility Closet podcast we’ll follow the Trans-American Footrace, better known as the Bunion Derby, billed as the greatest footrace the world had ever known.

We’ll also learn some creepy things about spiders and puzzle over why one man needs three cars.

See full show notes …

“The Pythagorean Curiosity”

waterhouse pythagorean curiosity

Here’s the item I mentioned in Episode 99 of the podcast — New York City engineer John Waterhouse published it in July 1899. It’s not a proof of the Pythagorean theorem, as I’d thought, but rather a related curiosity. It made a splash at the time — the Proceedings of the American Society of Civil Engineers said it “interested instructors of geometry all over the country, bringing many letters of commendation to him from prominent teachers.” Listener Colin Beveridge has been immensely helpful in devising the diagram above and making sense of Waterhouse’s proof as it appears on page 252 of Elisha Scott Loomis’ 1940 book The Pythagorean Proposition. Click the diagram to enlarge it a bit further.

  1. Red squares BN = AI + CE — Pythagoras’s theorem
  2. Blue triangles AEH, CDN, BMI are all equal in area to ABC, reasoning via X and Y and base sides.
  3. Green angles GHI and IBM are equal and green triangle GHI is congruent to IBM (side angle side), so IG = IK = IM. IH′K is congruent to IHK as angle HIK = angle HIG and the adjacent sides correspond. This means G and K are the same distance from the line HH′, so GK is parallel to HI. Similarly, DE is parallel to PF and MN is parallel to LO.
  4. GK = 4HI, because TU=HI, TG = AH (HTG congruent to EAH) and UK = UG (symmetry). Similarly, PF = 4DE. Dark blue triangles IVK and LWM are equal, so WM = VK. Similarly, OX = QD (dark green triangles PQD and NXO are congruent). Also, WX=MJ and XN=NJ, so M and N are the midpoints of WJ and XJ. That makes WX=2MN, so LO = 4MN.
  5. Each of the trapezia we just looked at (HIKG, OLMN and PFED) have five times the area of ABC.
  6. The areas of orange squares MK and NP are together five times EG. This is because:
    • the square on MI is (the square on MY) + (the square on IY) = (AC2) + (2AB)2 = 4AB2 + AC2.
    • the square on ND is (the square on NZ) + (the square on DZ) = (AB2) + (2AC)2 = 4AC2 + AB2
    • the sum of these is 5(AB2 + AC2) = 5BC2, and BC = HE.
  7. A′S = A′T, so A′SAT is a square and the bisector of angle B′A′C′ passes through A. However, the bisectors of angle A′B′C′ and A′C′B′ do not pass through B and C (resp.) [Colin says Waterhouse’s reasoning for this is not immediately clear.]
  8. Square LO = square GK + square FP, as LO = 4AC, GK = 4AB and FP = 4BC.
  9. [We’re not quite sure what Waterhouse means by “etc. etc.” — perhaps that one could continue to build squares and triangles outward forever.]

As Directed

churchill prescription

After being struck by a car in January 1932, Winston Churchill found himself laid up in New York at the height of Prohibition. He convinced his attending physician to write the prescription above.

“I neither want it [brandy] nor need it,” he once said, “but I should think it pretty hazardous to interfere with the ineradicable habit of a lifetime.”

Podcast Episode 98: The St. Albans Raid

https://commons.wikimedia.org/wiki/File:St_Albans_Raiders.gif

Seemingly safe in northern New England, the residents of St. Albans, Vermont, were astonished in October 1864 when a group of Confederate soldiers appeared in their midst, terrorizing residents, robbing banks, and stealing horses. In this week’s episode of the Futility Closet podcast we’ll tell the story of the St. Albans raid, the northernmost land action of the Civil War.

We’ll also learn about Charles Darwin’s misadventures at the equator and puzzle over a groundskeeper’s strange method of tending grass.

See full show notes …

Podcast Episode 97: The Villisca Ax Murders

https://www.flickr.com/photos/jingerelle/5180105661
Image: Flickr

Early one morning in 1912, the residents of Villisca, Iowa, discovered a horrible scene: An entire family had been brutally murdered in their sleep. In this week’s episode of the Futility Closet podcast we’ll describe the gruesome crime, which has baffled investigators for a hundred years.

We’ll also follow the further adventures of German sea ace Felix von Luckner and puzzle over some fickle bodyguards.

See full show notes …

Town and Country

https://pixabay.com/en/chess-player-chess-game-play-chess-122966/

More chess masters reside in New York City than in the rest of the United States combined. We’re planning a chess tournament that all American masters are expected to attend, and we want to minimize the total intercity traveling done by the players. The New York players argue that, by this criterion, the tournament should be held in their city. The West Coast players argue that a city should be chosen near the center of the gravity of the players. Where should we hold the tournament?

Click for Answer

Podcast Episode 96: The Abduction of Edgardo Mortara

https://commons.wikimedia.org/wiki/File:Oppenheim_-_Kidnapping_of_Edgardo_Mortara_-_1862.jpg

On June 23, 1858, the Catholic Church removed 6-year-old Edgardo Mortara from his family in Bologna. The reason they gave was surprising: The Mortaras were Jewish, and Edgardo had been secretly baptized. In this week’s episode of the Futility Closet podcast we’ll tell the story of little Edgardo and learn how his family’s plight shaped the course of Italian history.

We’ll also hear Ben Franklin’s musings on cultural bigotry and puzzle over an unexpected soccer riot.

See full show notes …

Better Late

In 1895, hoping to marry sound and pictures, William Kennedy Laurie Dickson played a violin into a phonograph horn in Thomas Edison’s experimental film studio, and the sound was recorded on a wax cylinder.

The experiment went well, but the team made no attempt to unite sound and image at the time. The film portion remained well known, but the wax cylinder drifted into another archive and was rediscovered only in the 1960s. It wasn’t until 2000 that film editor Walter Murch succeeded in adding the music to the long-famous fragment, and Dickson’s violin could finally be heard.

The vignette, now the oldest known piece of sound film, shows that sound was not a late addition to moviemaking, film preservationist Rick Schmidlin told the New York Times. “This teaches that sound and film started together in the beginning.”

Reflection

I want to be what I was when I wanted to be what I am now.

— Graffito in a restroom of the Ninth Circle Restaurant, New York City, noted in Robert Reisner and Lorraine Wechsler’s Encyclopedia of Graffiti, 1974