Sums and Sums

lee sallows self-descriptive magic square

Something new from Lee Sallows: a self-descriptive magic square. Each row, column, and long diagonal adds up to 20, and every letter used is correctly counted.

“You may notice that the square includes a fox. But don’t be foxed by the fox. Just enjoy him. For this is not merely any old fox. No, it is our old friend the quick brown fox that jumped over that lazy dog!”

(Thanks, Lee!)

The Egyptian Lo Shu

Another contribution from Lee Sallows:

“The smallest, oldest and most famous magic square of all is the specimen of Chinese origin known as the Lo shu. In this, the numbers from 1 to 9 are so placed that their sum taken in any row, column or diagonal is 15. This is another way of saying that the sum of any three of them lying in a straight line is 15. Less well known is the ‘Egyptian’ Lo shu (seen below) in which the same numbers are rearranged in a triangular formation that exhibits the same property.”

(From his book Geometric Magic Squares, 2013.) (Thanks, Lee.)

sallows egyptian lo shu

Podcast Episode 219: The Greenbrier Ghost

In 1897, shortly after Zona Shue was found dead in her West Virginia home, her mother went to the county prosecutor with a bizarre story. She said that her daughter had been murdered — and that her ghost had revealed the killer’s identity. In this week’s episode of the Futility Closet podcast we’ll tell the story of the Greenbrier Ghost, one of the strangest courtroom dramas of the 19th century.

We’ll also consider whether cats are controlling us and puzzle over a delightful oblivion.

See full show notes …


sallows self-descriptive rectangle tiling

Lee Sallows sent this self-descriptive rectangle tiling: The grid catalogs its own contents by arranging its 70 letters and 14 spaces into 14 itemizing phrases.

Bonus: The rectangle measures 7 × 12, which is commemorated by the two strips that meet in the top left-hand corner. And “The author’s signature is also incorporated.”

(Thanks, Lee!)