Waste Not, Want Not

In 1929, Indiana Bell bought the Central Union Telephone Company of Indianapolis. Central Union’s headquarters building at that time was more than 20 years old and inadequate to the new company’s needs, but rather than demolish it, architect Kurt Vonnegut Sr. (father of the novelist) proposed moving it out of the way.

Over the course of a month, the 10,000-ton building was shifted 52 feet south, rotated 90 degrees, then shifted another 100 feet west. Amazingly, this was all accomplished while the building was open and operating — customer telephone service was never interrupted, and the building’s gas, heat, electricity, and water operated continuously throughout the move.

A new headquarters was built on the old site, and the shifted building stood in its new position until 1963.

April 22, 2021April 21, 2021 | History · Technology

The Bishop Problem

rolling die puzzle

What is the minimum number of bishops needed to occupy or attack all squares on an 8 × 8 chessboard?

	Select Click for Answer
Eight. The board’s perimeter consists of 14 black and 14 white squares, and one bishop can’t control more than 4 squares on the border. That means we’ll need at least 4 white bishops to cover the 14 white border squares, because 3 bishops could cover at most 12. Similarly we’ll need at least 4 black bishops to cover the 14 black border squares. As it happens, a row of eight bishops across either of the board’s two middle ranks does the job, so the minimum needed is 8.

Click for Answer

April 21, 2021April 24, 2021 | Puzzles

Endless

[A]ccording to the standard traditions, being in hell is the worst thing that could ever happen to anyone. As with less horrendous evils, the first question is how such an evil is, or could be, justified. The theological portrayals of hell make this question the most difficult for the theist to address. Ordinary pain and evil, it may be thought, can be accounted for if events in the future ‘make up for’ what leads to them, but the evil of hell leads nowhere; at no point in the future will something of value make up for the evil of hell or will some reward be granted to those who endure the suffering of hell. Hell is apparently paradigmatic as an example of truly pointless, gratuitous evil. Thus arises the problem of hell.

— Jonathan L. Kvanvig, The Problem of Hell, 1993

April 21, 2021April 20, 2021 | Religion

The Hawking Index

In a 2014 blog post for the Wall Street Journal, mathematician Jordan Ellenberg examined the distribution of highlighted passages within Amazon Kindle books as an unscientific measure of how far the average reader progresses through each title before giving up. If the “popular highlights” are clustered densely near the start of a book, that’s (arguably) a sign that many readers abandon the book before reading much farther. Ellenberg gave these examples (each considering the location of the five most highlighted passages in the text):

Hard Choices, by Hillary Clinton, 1.9%
Capital in the Twenty-First Century, by Thomas Piketty, 2.4%
Infinite Jest, by David Foster Wallace, 6.4%
A Brief History of Time, by Stephen Hawking, 6.6%
Thinking, Fast and Slow, by Daniel Kahneman, 6.8%
Lean In, by Sheryl Sandberg, 12.3%
Flash Boys, by Michael Lewis, 21.7%
Fifty Shades of Grey, by E.L. James, 25.9%
The Great Gatsby, by F. Scott Fitzgerald, 28.3%
Catching Fire, by Suzanne Collins, 43.4%
The Goldfinch, by Donna Tartt, 98.5%

Ellenberg called the measure the Hawking Index, after physicist Stephen Hawking’s A Brief History of Time, which is often called “the most unread book of all time” … though it reaches only fourth place even on this short list.

“So take it easy on yourself, readers, if you don’t finish whatever edifying tome you picked out for vacation,” he wrote. “You’re far from alone.”

April 20, 2021April 19, 2021 | Literature

A Packing Problem

You need to pack for a midnight flight and the power is out. Your closet contains six pairs of shoes, six black socks, six gray socks, six pairs of brown gloves, and six pairs of tan gloves, but it’s too dark to distinguish colors or to match shoes. How many of each item must you take to be sure of having a matched pair of shoes, two socks of the same color, and a pair of matching gloves?

	Select Click for Answer
Imagine the very worst case: You might pack six non-matching shoes, two non-matching socks, six left-hand gloves of one color, and six right-hand gloves of the other. You can make each of these failures impossible by adding one more item. So you’ll need to pack seven shoes, three socks, and 13 gloves. From Peter Winkler’s excellent collection Mathematical Puzzles, 2021. 04/20/2021 UPDATE: I made a mistake here — in Winkler’s original, you’re not able to distinguish right-handed gloves from left in the dark. So instead of “six left-hand gloves of one color, and six right-hand gloves of the other,” I should have said, “six brown all left or all right, and six tan, also all left or all right,” as in Winkler’s original. In that case 13 gloves are needed. (Thanks, Chris and Adam.)

Click for Answer

April 20, 2021April 20, 2021 | Puzzles

Black and White

heathcote chess problem

This problem, by G. Heathcote, won second prize in the Norwich Mercury‘s “King in the Corner” problem tournament, which required that Black’s king begin each problem in one of the board’s four corners. White to mate in two moves.

	Select Click for Answer
1. Nd2! (Via S.S. Blackburne, Terms and Themes of Chess Problems, 1907.)

April 19, 2021April 17, 2021 | Puzzles

Podcast Episode 339: The Baron of Arizona

In 1883, Missouri real estate broker James Reavis announced that he held title to a huge tract of land in the Arizona Territory. If certified, the claim would threaten the livelihoods of thousands of residents. In this week’s episode of the Futility Closet podcast we’ll tell the story of the Baron of Arizona, one of the most audacious frauds in American history.

We’ll also scrutinize British statues and puzzle over some curious floor numbers.

See full show notes …

April 19, 2021April 19, 2021 | Crime · History · Hoaxes · Podcast

Brave New World

In 1921 Charles Steinmetz, “the electrical wizard of Schenectady,” described the conveniences of 2021:

When heating is all done electrically, and I want 70 degrees in my home, I shall set the thermostat at 70 and the temperature will not rise above that point. This temperature will be maintained uniformly regardless of the weather outside.

This will also hold true on the warm day when the temperature outside may be 90 or 100 degrees. The same electrical apparatus will cool the air, and what’s more it will also keep the humidity normal at all times.

“Look back 100 years and it is like jumping into the Dark Ages,” he wrote. “The electrical development is still in its infancy.”

(Via Reddit’s ArchivePorn.)

April 18, 2021 | History · Technology

Ambiance

https://commons.wikimedia.org/wiki/File:Albert-einstein-house.JPG — Image: Wikimedia Commons

This cottage, at 112 Mercer Street in Princeton, New Jersey, has been home to three Nobel winners: Albert Einstein lived there from 1935 to 1955; physicist Frank Wilczek between 1989 and 2001; and economist Eric Maskin until 2012.

It resides on the National Register of Historic Places and has been designated a U.S. National Historic Landmark, but it bears no outward marker of its significance.

April 17, 2021April 17, 2021 | Science & Math · Trivia

The Basket Tree

https://www.flickr.com/photos/jpeepz/48528771 — Image: Flickr

In the 1940s, arborsculptor Axel Erlandson planted six sycamore trees in a circle and grafted them as they grew to form a “woven” unit with diamond interstices.

It’s now the centerpiece of California’s Gilroy Gardens.

April 16, 2021April 16, 2021 | Oddities