Last Business

http://news.usask.ca/archived_ocn/09-jan-23/see_what_we_found.php

Working alone in his fields on June 8, 1948, Saskatchewan farmer Cecil George Harris accidentally put his tractor into reverse. It rolled backward, pinning his left leg under the rear wheel. His wife didn’t find him until 10:30 that night, and he died at the hospital.

Days later, surveying the scene of the accident, neighbors noticed that Harris had scratched an inscription into the tractor’s fender using his pocketknife:

In case I die in this mess, I leave all to the wife. Cecil Geo Harris.

The courts determined this to be a valid will. The fender was kept at the Kerrobert Courthouse until 1996; today it and the knife are displayed at the University of Saskatchewan law library.

Media Relations

https://books.google.com/books?id=9lQEAAAAMBAJ&pg=PA95

One of the most famous cat-and-bird friendships on record was that between Caruso, a canary which belonged to President Coolidge, and Timmie, a black-and-white cat owned by Bascom Timmons, a Washington newspaperman. They became acquainted when Timmons took his cat to the White House, and Coolidge eventually sent the canary to Timmons’ home to live with the cat. After that they spent an hour or two every day together, the canary walking up and down the cat’s back or resting between his paws. According to Timmons, the canary fell over dead while singing to the cat.

— Roger Butterfield, “Cats,” LIFE, April 22, 1946

A Weighty Burden

https://pixabay.com/en/landscape-scenic-petrified-forest-1591043/

Visitors to Arizona’s Petrified Forest National Park sometimes can’t resist making off with a souvenir or two. Those who do sometimes return the stolen pieces with a “conscience letter” describing the misfortunes that have befallen them. Trinity Christian College art professor Ryan Thompson went through the 1200 pages in the park’s archives and collected the best of them for a 2014 book, Bad Luck, Hot Rocks. Some examples:

“Here are your rocks. Nothing but bad trouble.”

“Please put this back so my husband can get well. I tried to keep him from taking it.”

“Found this in my room. You can have it back. It’s bad luck. I got busted the other night.”

“I am sorry I took this. I am only 5 years old and made a bad mistake.”

And simply “You were right!”

There’s more at the website. Strangely, the same thing happens at Hawaii Volcanoes National Park, where an actual fire goddess will punish you for stealing lava rocks. And see The Conscience Fund.

Podcast Episode 132: The Mad Gasser of Mattoon

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

In 1944, a bizarre criminal assaulted the small town of Mattoon, Illinois. Victims reported smelling a sickly sweet odor in their bedrooms before being overcome with nausea and a feeling of paralysis. In this week’s episode of the Futility Closet podcast we’ll pursue the mad gasser of Mattoon, who vanished as quickly as he had struck, leaving residents to wonder whether he had ever existed at all.

We’ll also ponder the concept of identical cousins and puzzle over a midnight stabbing.

See full show notes …

Togetherness

https://commons.wikimedia.org/wiki/File:Whittier,_Alaska.jpg
Image: Wikimedia Commons

Nearly everyone in Whittier, Alaska, lives under the same roof. The 14-story Begich Towers was built after World War II, and the building was converted to a condominium when the military withdrew. About 200 people live in 150 two- and three-bedroom apartments, and they can go weeks without leaving the building, which contains a post office, a grocery, a medical clinic, the mayor’s office, a general store, the police department, a Methodist church, a laundry, a small hotel, a conference room, and a play area with an indoor pool. A tunnel system leads to the community school and a general store.

By most accounts, life in the tower is pretty agreeable. But “because we have four elevators, sometimes people pull pranks on you and hit every button,” resident June Miller told CBC News. “And it’s like, ‘Really? This again?'”

(Thanks, Ginny.)

Shifting Areas

shifting areas - 1

This square of 8 × 8 = 64 square units can apparently be reassembled into a rectangle of 5 × 13 = 65 square units:

shifting areas - 2

This paradox is described in W.W. Rouse Ball’s 1892 Mathematical Recreations and Essays; it seems to have been published first in 1868 in Zeitschrift für Mathematik und Physik.

In 1938 the Rockefeller Foundation’s Warren Weaver discovered an old trove of papers from the 1890s in which Lewis Carroll puzzled out the dimensions of all possible squares in which this illusion is possible (the other sizes include squares of 21 and 55 units on a side).

Regardless of publication, it’s not clear who first came up with the idea. Sam Loyd claimed to have presented it to the American Chess Congress in 1858. That would be interesting, as it was his son who later discovered that the four pieces can be assembled into a figure of 63 squares:

shifting areas - 3

(Warren Weaver, “Lewis Carroll and a Geometrical Paradox,” American Mathematical Monthly 45:4 [April 1938], 234-236.)

Ready-Made

https://commons.wikimedia.org/wiki/File:Le_Testu_1556_4th_projection.jpg

Australia was named before it was discovered. Ancient geographers had supposed that land in the north must be balanced by land in the south — Aristotle had written, “there must be a region bearing the same relation to the southern pole as the place we live in bears to our pole” — and Romans told legends of a Terra Australis Incognita, an “unknown land of the South,” more than a millennium before Europeans first sighted the continent.

In 1814 the British explorer Matthew Flinders suggested applying the speculative name, Terra Australis, to the actual place — and in a footnote he wrote, “Had I permitted myself any innovation on the original term, it would have been to convert it to AUSTRALIA; as being more agreeable to the ear, and an assimilation to the names of the other great portions of the earth.”

Podcast Episode 129: The Voynich Manuscript

https://commons.wikimedia.org/wiki/File:Voynich_Manuscript_(159).jpg

In 1912, bookseller Wilfrid Voynich discovered an illustrated manuscript that was written in a mysterious alphabet that had never been seen before. The text bears the hallmarks of natural language, but no one has ever been able to determine its meaning. In this week’s episode of the Futility Closet podcast we’ll learn about the Voynich manuscript, which has been bewildering scholars for more than a century.

We’ll also ponder some parliamentary hostages and puzzle over a tormenting acquisition.

See full show notes …

The Margate Shell Grotto

margate shell grotto 1

In the chalky soil under the English seaside town of Margate, someone has hewn an artificial cave and lined it with millions of seashells. No one knows who, when, or why — the popular story is that a laborer was digging in a field in 1835 when his spade disappeared into a void. Alerted to this mystery, James Newlove, the master of the nearby Dane House School, lowered his son Joshua into the darkness bearing a candle. Joshua would have found himself in a domed rotunda lined with shells, beyond which a winding passageway leads to a rectangular chamber of uncertain purpose. Newlove later purchased the land, installed gas lighting, and opened them to the public.

Even then the origins of the grotto were a mystery — and, as no scientific dating has been undertaken, we still don’t know when it was created. R.F. LeGear, who made an assessment for the Kent Archaeological Society, wrote, “Whoever commissioned and/or planned the elaborate designs for the shell panels must have been a well educated person who managed to entwine many different themes into the intricate patterns of literally millions of shells.” He suspects that a medieval denehole, or chalk-mining shaft, was reworked and expanded in the 17th or 18th century.

But “[a]s to the purpose of this enigmatic structure the writer can make no useful comment except that it is highly likely that the Shell Grotto’s original designer, whoever and whenever that was, has accomplished exactly what he set out to achieve i.e., speculation, controversy and conjecture which started with the discovery in 1835 and continues to the present day.”

margate shell grotto 2

(Thanks, Ron.)

“A Postal Problem”

https://commons.wikimedia.org/wiki/File:Lewis_Carroll_1863.jpg

Browsing the Post Office Guide in June 1891, Lewis Carroll discovered an ambiguity that produces “a very curious verbal puzzle” — he sent this pamphlet to friends and interested parties:

The Rule, for Commissions chargeable on overdue Postal Orders, is given in the ‘Post Office Guide’ in these words, (it is here divided, for convenience of reference, into 3 clauses)—

(a) After the expiration of 3 months from the last day of the month of issue, a Postal Order will be payable only on payment of a Commission, equal to the amount of the original poundage;

(b) with the addition (if more than 3 months have elapsed since the said expiration) of the amount of the original poundage for every further period of 3 months which has so elapsed;

(c) and for every portion of any such period of 3 months over and above every complete period.

You are requested to answer the following questions, in reference to a Postal Order for 10/- (on which the ‘original poundage’ would be 1d.) issued during the month of January, so that the 1st ‘period’ would consist of the months February, March, April; the 2nd would consist of the months May, June, July; and the 3rd would consist of the months August, September, October.

(1) Supposing the Rule to consist of clause (a) only, on what day would a ‘Commission’ begin to be chargeable?

(2) What would be its amount?

(3) Supposing the Rule to consist of clauses (a) and (b), on what day would the lowest ‘Commission’ begin to be chargeable?

(4) What would be its amount?

(5) On what day would a larger ‘Commission’ (being the sum of 2 ‘Commissions’) begin to be chargeable?

(6) What would be its amount?

(7) On what day would a yet larger ‘Commission’ begin to be chargeable?

(8) What would be its amount?

(9) Taking the Rule as consisting of all 3 clauses, in which of the above-named 3 ‘periods’ does clause (c) first begin to take effect?

(10) Which day, of any ‘period,’ is the earliest on which it can be said that a ‘portion’ of the ‘period’ has elapsed?

(11) On what day would the lowest ‘Commission’ begin to be chargeable?

(12) What would be its amount?

(13) On what day would a larger ‘Commission’ begin to be chargeable?

(14) What would be its amount?

(15) On what day would a yet larger ‘Commission’ begin to be chargeable?

(16) What would be its amount?

Signature:

Date:

He followed up with this supplement later that month:

https://en.wikisource.org/wiki/Page:Complete_Works_of_Lewis_Carroll.djvu/1302

The trouble, as I read it, is that clause (c) is ambiguous. Presumably the postal authorities intended the general rule to be that a patron had three months to redeem a postal order, and beyond this would be charged a commission (here, 1 penny) for every three months that had elapsed since the deadline — including the last such period, which would not be prorated. Unfortunately, the phrase “every complete period” means exactly that — it refers to every completed period on the calendar. This sets the clock going twice as fast as intended. Our patron should owe 1d on May 1, 2d on August 1, and 3d on November 1. But with clause (c) worded as it is, she’ll owe 1d on May 1, 4d on August 1, and 6d on November 1. The final effect is that, beyond the first period, postal patrons who follow these rules will pay twice the intended commission.

I don’t know whether the post office ever learned about this. I imagine most patrons trusted them to do the math, and no one but Carroll recognized the ambiguity.