Small World

http://www.directorypatent.com/GB/190421771-a.html

I don’t think this was ever built — in 1904 engineer Hiram Stevens Maxim designed an amusement with a rotating parabolic floor “for producing illusionary effects”:

With such a contrivance when persons enter the hollow sphere they will not be able to tell whether it is revolving or standing still and by reason of the parabolic floor, persons near the outer edge would, to the persons standing near the centre, appear to be walking with their heads directed inward. When the sphere revolves some curious phenomena will be obtained in walking outward and inward on such a floor, and the throwing of a ball from the centre outward and vice versa will move in an unexpected direction that will be very puzzling to the people in the sphere.

Fig. 3, below, shows the perspective from the edge of the floor as it rotates. If mirrors were positioned overhead, as in Fig. 4, “people could then be made to appear to be walking all over the inside of the sphere with their heads pointing inward and their feet pointing outward.”

http://www.directorypatent.com/GB/190421771-a.html

| Technology

The Just World Phenomenon

In 1966 University of Kentucky social psychologist Melvin Lerner asked 72 undergraduate women to observe a peer working on a learning task. When the learner made an error she appeared to receive a painful electric shock. In describing her suffering, the observers tended to reject and devalue her when they thought they would continue to see her suffer in a later session.

Lerner suggested that we come to terms with the suffering we see around us by deciding that the world is just — that those who are unfortunate somehow deserve their fate, and thus that we can avoid such a fate ourselves. This is reflected in figures of speech such as “You reap what you sow” and “He got what was coming to him.”

“If people did not believe that they could get what they want and avoid what they abhor by performing certain appropriate acts, they would be virtually incapacitated,” Lerner wrote. “If this is true, then the person who sees suffering or misfortune will be motivated to believe that the unfortunate victim in some sense merited his fate.”

(Melvin J. Lerner and Carolyn H. Simmons, “Observer’s reaction to the ‘innocent victim’: Compassion or rejection?”, Journal of Personality and Social Psychology 4(2) [August 1966], 203-210.)

| Oddities

Seeing Double

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

In 1944, as the Allies were preparing to invade France, British Intelligence sought a way to confuse the Germans as to their plans. They hired Meyrick Clifton James (right), an Australian-born lieutenant in the Army Pay Corps who bore a striking resemblance to Field Marshal Bernard Montgomery, who would be commanding the Allied ground troops during the invasion. David Niven, then a colonel in the Army Film Unit, invited James to London under cover as a journalist, and James set about studying the general’s speech patterns and mannerisms. Then he was conspicuously dispatched, as Monty, to Gibraltar and then to Algiers, watched by avid German spies.

It seemed to work. The plot went through “from start to finish without a hitch,” MI5 reported, “and we knew that the main feature of its story had reached the Germans.” The real Monty led the successful landings at Normandy while James recovered from the ordeal in a safe house in Cairo. “He was under terrible pressure and strain,” reported the wife of an intelligence officer detailed to look after him. “Coming out of that part was very difficult for him.” But he had some consolation: Under army rules, he would receive the equivalent of a general’s pay for every day he had impersonated Monty.

| History

Podcast Episode 16: A Very Popular Sack of Flour

https://commons.wikimedia.org/wiki/File:Reuel_Colt_Gridley_circa_1864.jpg

In 1864 Nevada mining merchant Reuel Gridley found a unique way to raise money for wounded Union soldiers: He repeatedly auctioned the same 50-pound sack of flour, raising $250,000 from sympathetic donors across the country.

In this episode of the Futility Closet podcast we’ll discover the origins of Gridley’s floury odyssey. We’ll also hear H.L. Mencken’s translation of the Declaration of Independence into American English and try to figure out where tourism increases the price of electricity.

See full show notes …

| Podcast

Two-Toned

A problem from the 2004 Moscow Mathematical Olympiad:

An arithmetic progression consists of integers. The sum of its first n terms is a power of two. Prove that n is also a power of two.

Click for Answer
| Puzzles

Do-Gooder

http://commons.wikimedia.org/wiki/File:Schnorr_von_Carolsfeld_Bibel_in_B ildern_1860_001.png

Given his necessary perfections, if there is a best world for God to create then it appears he would have no choice other than to create it. For, as Leibniz tells us, ‘to do less good than one could is to be lacking in wisdom or in goodness.’ Since it is strictly impossible for God to be lacking in wisdom or goodness, his inability to do otherwise than create the best possible world is no limitation on his power. But if God could not do otherwise than create the best world, he created the world out of necessity, and not freely. And, if that is so, it may be argued that we have no reason to be thankful to God for creating us, since, being parts of the best possible world, God was simply unable to do anything other than create us. … [Leibniz’s reasoning] cannot avoid the conclusion that God is not sufficiently free in creating, and is therefore not a fit subject of gratitude or moral praise for creating the best.

— William L. Rowe, Can God be Free?, 2006

| Religion

A Heavenly View

https://commons.wikimedia.org/wiki/File:Jacopo_de%27_Barbari_-_Venetie_MD_-_retouched.png

This is startling — in 1500 artist Jacopo de Barbari produced an aerial view of Venice, assembled from six woodcuts on large sheets of paper. The full image fills nearly 4 square meters; it was probably assembled from sightings taken by surveyors in bell towers around the city.

The artist’s meticulous attention to detail is reflected in the flat roof on the bell tower in St. Mark’s Square, which was added after a fire in 1489. When the tower was restored in 1514, the woodblocks were updated to reflect the change.

| Art

Moving Up

http://www.freeimages.com/photo/1094356

My wife and I walk up an ascending escalator. I climb 20 steps and reach the top in 60 seconds. My wife climbs 16 steps and reaches the top in 72 seconds. If the escalator broke tomorrow, how many steps would we have to climb?

Click for Answer
| Puzzles

Referee

After seeing a manuscript of On the Origin of Species in April 1859, the Rev. Whitwell Elwin suggested that Darwin write about pigeons instead.

“This appears to me an admirable suggestion,” he wrote. “Everybody is interested in pigeons.”

| Science & Math