Dividing Line

Draw a circle and choose 100,000 points at random in its interior. Is it always possible to draw a line through the circle such that 50,000 points lie on each side of it?

Click for Answer

Gang Aft Agley

In the March 1992 newsletter of Australia’s Society of Editors, John Bangsund offered a rule that he called Muphry’s Law:

(a) if you write anything criticizing editing or proofreading, there will be a fault of some kind in what you have written;
(b) if an author thanks you in a book for your editing or proofreading, there will be mistakes in the book;
(c) the stronger the sentiment expressed in (a) and (b), the greater the fault;
(d) any book devoted to editing or style will be internally inconsistent.

In November 2003, the Canberra Editor noted, “Muphry’s Law also dictates that, if a mistake is as plain as the nose on your face, everyone can see it but you. Your readers will always notice errors in a title, in headings, in the first paragraph of anything, and in the top lines of a new page. These are the very places where authors, editors and proofreaders are most likely to make mistakes.”

Earlier, editor Joseph A. Umhoefer had observed that “Articles on writing are themselves badly written.” A correspondent wrote that Umhoefer “was probably the first to phrase it so publicly; however, many others must have thought of it long ago.”

Tableau

https://archive.org/details/dli.ernet.2493/page/207/mode/2up

In Arthur Ransome’s 1933 children’s novel Winter Holiday, Nancy Blackett, quarantined with mumps, sends a picture to her friends of a sledge being drawn by skating figures. Nancy is encouraging the group to pursue their plan to explore a frozen lake. The seven figures in the picture correspond to the seven children in the group. “But,” asks Peggy, “what did she put in the crowd for?”

Click for Answer

Endorsement

In 1906, as George Bernard Shaw and his wife were looking for a house in rural Hertfordshire, they came upon a tombstone in Ayot St Lawrence:

Mary Ann South
Born 1825, Died 1895
Her Time Was Short

When asked why he chose the village as his home, Shaw said that if the biblically allotted threescore years and ten was considered a short life in Ayot, it must be a good place to live.

100 Voices

https://archive.org/details/5b-5e-8cf-6a-4bcf-3648efb-65dbc-11daa-3987f-3a-95c-118b-5150c-6623256d-8ce-491b
Image: Internet Archive

Designer Cam Wilde assembled this “periodic table of typefaces” by tabulating each face’s representation among a selected honor roll of great typefaces.

The “elements” are sorted numerically, and each is categorized as to family and class: sans-serif, serif, script, blackletter, glyphic, display, grotesque, realist, didone, garalde, geometric, humanist, slab-serif, and mixed. (Click to enlarge.)

Extra Large

Which is bigger, a jillion or a zillion? No one’s quite sure, though we all use these terms pretty readily. In 2016 Wayne State University linguistic anthropologist Stephen Chrisomalis cataloged the first appearance of 18 “indefinite hyperbolic numerals” — here they are in chronological order:

forty-leven
squillion
umpteen
steen
umpty
umpty-ump
umpty-steen
zillion
skillion
jillion
gillion
bazillion
umptillion
kazillion
gazillion
kajillion
gajillion
bajillion

The Oxford English Dictionary’s first cited usage of gajillion occurred in 1983, and they don’t yet have an entry for bajillion. So maybe that’s largest?

(Stephen Chrisomalis, “Umpteen Reflections on Indefinite Hyperbolic Numerals,” American Speech 91:1 [2016], 3-33, via Math Horizons.)

Progress

In 2012 I mentioned that Helen Fouché Gaines’ 1956 textbook Cryptanalysis: A Study of Ciphers and Their Solution ends with a cipher that’s never been solved. Reader Michel Esteban writes:

I think I found what kind of cipher Helen Fouché Gaines’ last challenge is.
In my opinion, it is a seriated Playfair of period 5 with two peculiarities:
– Zs are nulls in the ciphertext,
– Z is the omitted letter in the cipher square (instead of J).
If I am right, period 5 is the most likely reasonable period: we can observe no coincidences between upper and lower letters.
On the other hand, six reciprocal digrams appear: FD-DF, EC-CE, JN-NJ, JB-BJ, QL-LQ and GW-WG. These are almost certainly cipher counterparts of common reciprocal digrams (ES-SE, EN-NE, IT-TI, etc.).
I did not solve this cipher, because it is too short to use statistics. The only way to solve it is to use some metaheuristics (like Hill Climbing), but I have no computer!
I have no doubt you know someone that will be able to unveil the plaintext after having read these considerations.

Can someone help? I’ll add any updates here.