Désert de Retz

French aristocrat François Racine de Monville added a striking summer house to his estate in 1785 — it was designed to resemble the ruined column of an imaginary gigantic temple:


The “colonne brisée” contained four stories of oval rooms connected by a spiral staircase hung with rare plants under a skylight. It was admired by Benjamin Franklin, and it inspired Thomas Jefferson in his own architectural work. (“How grand the idea excited by the remains of such a column!” he wrote to Maria Cosway.) It had fallen into disrepair by the 1950s, but it was renovated and reopened to the public in 2009.

Fleet Cuts

In 1968, American Hugo Vihlen sailed from Casablanca to Florida in a boat 5 feet 11 inches long.

In 1992, Englishman Tom McNally sailed from Portugal to Fort Lauderdale in a boat 5 feet 4.5 inches long.

In 1993 Vihlen reclaimed the record by sailing from Newfoundland to Falmouth in a boat 5 feet 4 inches long.

“Tom McNally made plans to fight back with a minuscule three-foot, eleven-inch boat, and when Vihlen later heard about that he announced his intention to build a three-foot, eight-inch aluminum boat,” writes William Longyard in A Speck on the Sea (2003). “The battle would continue between these two friends and rivals.”

(Thanks, Dave.)

Light Reading

French writer Paul Fournel’s 1990 novel Suburbia begins conventionally enough:

Table of Contents

A Word from the Publisher vi
Foreword by Marguerite Duras vii
An Introductory Note by the Author viii
Suburbia 9
Afterword by François Caradec 215
Supplement for Use in Schools 217
Index 219

And the “Word from the Publisher” promises that “the quality of this little novel, now that passions have subsided, has emerged ever more forcefully.” But the first page is blank except for four footnotes:

1. In French in the original.
2. Concerning the definition of suburb, see the epigraph et seq.
3. What intention on the author’s part does this brutal opening suggest?
4. Local judge.

The same thing happens on the second page:

1. Notice how Norbert comes crashing onto the scene.
2. This passage is a mixture of backslang and immigrant jargon. Transpose into normal English.
3. Motorcycle.
4. Obscene gesture.

And so on — except for footnotes, all the pages in Suburbia are blank. “In Suburbia Fournel was not attempting to give some postmodernist exploration of the nature of literature,” explains Robert Tubbs in Mathematics in Twentieth-Century Literature and Art (2014). “Suburbia, instead, was written according to the lipogrammatic constraint that it contain no letters or symbols. This constraint force Fournel to write a textless narrative. Because of the footnotes on each page, it has content — it is not an empty text; it is simply a textless text, a text that just happens not to contain any words.”

Liquid Assets

New Zealand engineer Bill Phillips found a unique way to model a national economy in 1949: He used water. Working in his garage, he assembled a conglomeration of tanks, pipes, sluices, and valves into MONIAC, a 7-foot hydraulic computer that modeled the economy of the United Kingdom. Colored water, representing money, is pumped from a bottom reservoir to the top, where it’s distributed among taxes, consumer expenditure, and investment, then finds its way downward through the economy. The user can set “functions” that regulate the effect of national income on tax revenue, government spending on consumption, domestic spending on imports or exports, the interest rate on investment, and the exchange rate on exports and imports.

“To approximate a national economy, a ‘Federal Reserve System’ is added (from a tank through the top U-shaped pump) and bank credit is drawn to expand surplus balances when needed,” noted Fortune in a March 1952 feature. “And, if a Keynesian touch is wanted, the government can engage in ‘deficit financing’ by tapping the surplus balances to increase its own expenditures without additional taxation.”

Phillips unveiled the computer at the London School of Economics in 1949 and impressed his audience so much that he was asked to build copies for Harvard, Cambridge, Oxford, the Ford Motor Company and the Central Bank of Guatemala. Unfortunately his invention was soon outmoded by electronic computers, and today only two working “Phillips machines” remain: one at Cambridge and the other (above) at the Reserve Bank of New Zealand.

UPDATE: Yale economist Irving Fisher proposed a similar system in his Ph.D. dissertation in 1891, described by Paul Samuelson as “the best of all doctoral dissertations in economics.” Fisher used a working model of his machine as a teaching tool for 25 years. (Thanks, Sroyon.)

In a Word


adj. used in salads

Maillardet’s Automaton


Martin Scorsese’s film Hugo was inspired by a real event. In 1928 Philadelphia’s Franklin Institute received the remains of an 18th-century brass automaton that had been damaged in a fire. It had been donated by the descendants of wealthy manufacturer John Penn Brock; they knew it had been acquired in France and supposed it to be the work of the German inventor Johann Nepomuk Maelzel, famed for his metronome.

The institute’s machinist set about restoring the machine and discovered that its mechanism used an ingenious system of cams to store almost 300 kilobits of information. When he had finished his work, he placed a pen in its hand and watched it draw four strikingly elaborate illustrations and write three poems (click to enlarge):

The final poem contained a surprise — in its border the machine wrote Ecrit par L’Automate de Maillardet, “written by the automaton of Maillardet.” The automaton’s creator was not Johann Maelzel but the Swiss mechanician Henri Maillardet — and this fact had been remembered only because he had taught the machine to write his name.

Subsequent research showed that Maillardet had created the automaton in the 1700s and exhibited it throughout Europe and Russia. How it came to America is not known. It’s on display today at the Franklin Institute, which demonstrates its talents publicly several times a year.

Bridges and Bell Ropes

FC book covers

Two puzzles from the new Futility Closet book are featured this week on the New York Times’ Numberplay blog. I’ll post the solutions and comment there on Friday. Many thanks to Gary Antonick for setting this up.

Both Futility Closet books are available now on Amazon, in paperback and as ebooks. Thanks for your support!

Podcast Episode 36: The Great Moon Hoax


In 1835 the New York Sun announced that astronomers had discovered bat-winged humanoids on the moon, as well as reindeer, unicorns, bipedal beavers and temples made of sapphire. The fake news was reprinted around the world, impressing even P.T. Barnum; Edgar Allan Poe said that “not one person in ten” doubted the story. In this episode of the Futility Closet podcast we’ll review the Great Moon Hoax, the first great sensation of the modern media age.

We’ll also learn why Montana police needed a rabbi and puzzle over how a woman’s new shoes end up killing her.

Sources for our segment on the Great Moon Hoax:

Matthew Goodman, The Sun and the Moon, 2008.

The Museum of Hoaxes has an excellent summary of the hoax and its significance in media history, including the text of all six articles.

Listener mail:

Lauren May, “Terrified Banstead Family Confronted by ‘Dark Figure’ on Bypass,” Epsom Guardian, Feb. 23, 2012.

Michael Munro, “‘The Springer’ Leaps From WW2 Urban Legend to Anti-Fascist Superhero,” io9, Sept. 3, 2014 (accessed Nov. 30, 2014).

Eric A. Stern, “Yes, Miky, There Are Rabbis in Montana,” New York Times, Dec. 4, 2009.

“Body of Boy Found as Snow Melts,” The Hour, March 1, 1978.

You can listen using the player above, download this episode directly, or subscribe on iTunes or via the RSS feed at http://feedpress.me/futilitycloset.

Many thanks to Doug Ross for the music in this episode.

If you have any questions or comments you can reach us at podcast@futilitycloset.com. Thanks for listening!

Black and White

maximov chess problem

By Nikolai Maximov. White to mate in two moves.

Click for Answer

The Pythagoras Tree

Draw a square and perch two smaller squares above it, forming a right triangle:


Now perch still smaller squares upon these, and continue the pattern recursively:


Charmingly, if you keep this up you’ll grow a tree:

It was dubbed the Pythagoras tree by Albert Bosman, the Dutch mathematics teacher who discovered the figure in 1942. (Each trio of squares demonstrates the Pythagorean theorem.)

At first it looks as though the tree must grow without bound, but in fact it’s admirably tidy: Because the squares eventually begin to overlap one another, a tree sprouted from a unit square will confine itself to a rectangle measuring 6 by 4.

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