The Machine Prayer

In his 1953 book The Impact of Science on Society, Bertrand Russell warned that modern life was subordinating people to the technical requirements of their work. “What science has done is to increase the proportion of your life in which you are a cog,” he warned. “You can only justify the cog theory by worship of the machine.”

In time men will come to pray to the machine: ‘Almighty and most merciful Machine, we have erred and strayed from thy ways like lost screws; we have put in those nuts which we ought not to have put in, and we have left out those nuts which we ought to have put in, and there is not cogginess in us’ — and so on.

“You must make the machine an end in itself, not a means to what it produces,” he wrote. “Human beings then become like slaves in The Arabian Nights.”

Surf’s Up

La Ola, or the “Mexican wave,” seems like the ultimate in spontaneous behavior, but biological physicist Illés Farkas of Eötvös University found that stadium waves can be studied quite effectively using the methods of statistical physics. Examining videos of waves in stadia holding more than 50,000 people, Farkas and his colleagues found that a crowd behaves like an excitable medium — the first group to stand acts as a “perturbation,” and in less than a second the wave begins, dying out on one side and continuing on the other (3 out of 4 Mexican waves travel clockwise around the stadium). And the speed of waves is surprisingly consistent — 22±3 seats per second, with an average width of 15 seats.

Farkas defined three states that a spectator can take: inactive (sitting, ready to stand), active (standing up), and refractory (sitting again afterward). Shizuoka University mechanical engineer Takashi Nagatani found that the local behavior of the spectators can be interpreted in terms of a chemically excitable medium with the following reaction set:

Passive + Activated ↦ 2 · Activated
Activated ↦ Refractory
Refractory ↦ Passive

Farkas wrote, “For a physicist, the interesting specific feature of this spectacular phenomenon is that it represents perhaps the simplest spontaneous and reproducible behaviour of a huge crowd with a surprisingly high degree of coherence and level of cooperation. In addition, La Ola raises the exciting question of the ways by which a crowd can be stimulated to execute a particular pattern of behaviour.”

(From Andrew Adamatzky, Dynamics of Crowd-Minds, 2005.)

Et Tu?

A Friedman number, named after Stetson University mathematician Erich Friedman, is a number that can be calculated using its own digits, such as 736 = 36 + 7 or 3281 = (38 + 1) / 2.

A “nice” Friedman number is one in which the digits are used in order, such as 3685 = (36 + 8) × 5 or 3972 = 3 + (9 × 7)2.

Might this be done in other number systems? In a sense all Roman numerals are automatically Friedman numbers, but there are some interesting nontrivial examples as well:

XVIII = IV × II + X

LXXXIII = IXX×X/L + II

And it turns out that “nice” examples are possible here too, in which a number’s letters are used in order:

LXXVI = L / X × XV + I

LXXXIV = LX / X × XIV

Is there more? Friedman has begun looking for examples in Mayan numerals — see his website.

Mementos

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Image: Mare Milin / Museum of Broken Relationships

When Croatian artists Olinka Vištica and Dražen Grubišic ended their four-year relationship in 2003, they joked about creating a museum to house all their leftover personal items. “We were thinking of how to preserve the beautiful moments we had together and not destroy everything,” Vištica said. Three years later, Grubišic suggested that they do this in earnest, and they created the Museum of Broken Relationships, displaying items left over from breakups around the world.

After ending an 18-month relationship with an abusive lover, a Toronto woman sent in a necklace and earrings he had given her. “The necklace was given as an apology after one night of abuse. He used it as leverage that I should do as he said. I finally broke it off. I keep the necklace as a reminder of what to look out for.”

A Berlin women donated the ax she’d used to chop up her partner’s furniture after she left her for another woman. “Every day I axed one piece of her furniture. I kept the remains there, as an expression of my inner condition. The more her room filled with chopped furniture acquiring the look of my soul, the better I felt. Two weeks after she left, she came back for the furniture. It was neatly arranged into small heaps and fragments of wood. She took that trash and left my apartment for good. The axe was promoted to a therapy instrument.”

Between 2006 and 2010, the collection toured the world and was seen by 200,000 people. It’s now found a permanent home in Zagreb, and in 2016 it opened another location in Los Angeles, next to the theater that hosts the Oscars. “I think in periods of suffering people become creative, and I think this is a catharsis,” Vištica told The Star. “I think that relationships, especially love relationships, influence us so much and they make us the people we are.”

Bull Market

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“If you bet on a horse, that’s gambling. If you bet you can make three spades, that’s entertainment. If you bet cotton will go up three points, that’s business. See the difference?” — Blackie Sherrod

Podcast Episode 185: The Man From Formosa

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In 1703, London had a strange visitor, a young man who ate raw meat and claimed that he came from an unknown country on the island of Taiwan. Though many doubted him, he was able to answer any question he was asked, and even wrote a best-selling book about his homeland. In this week’s episode of the Futility Closet podcast we’ll consider the curious question of the man from Formosa.

We’ll also scrutinize a stamp forger and puzzle over an elastic Utah.

See full show notes …

Self-Ancestors

A 1907 magazine reports two curiously ingrown family trees. The first is that of an alleged Neapolitan sailor:

I married a widow. She had by her first husband a handsome girl named Silvietta, with whom my father fell in love and who became his second wife. Thus my father became my son-in-law and my stepdaughter became my mother, since she had married my father. Soon afterward my wife gave birth to a son, who became my father’s stepbrother and at the same time my uncle, since he was my stepmother’s brother.

But that was not all, for in due time my father’s wife also gave birth to a boy, who was my brother and also my stepson [grandson?], since he was the son of my daughter. My wife was also my grandmother, for she was the mother of my mother, and thus I was my wife’s husband and at the same time her grandson. Finally, as the husband of a person’s grandmother is naturally that person’s grandfather, I am forced to the conclusion that I am my own grandfather.

We’ve seen that before, but the second story describes a more complicated route to the same outcome. Fifteen-year-old Ida Kriebel of Pennsylvania married 60-year-old Jacob Doney and became her own grandmother:

Domey’s first wife was the widow of John Wieden. She had three more children by Doney. One of her children married Samuel Kriebel, and a year later died. The widower married again. From this second union came Ida Kriebel. By this arrangement Doney became the stepgrandfather of his own child [wife?].

“The second Mrs. Doney also became stepgrandmother of twenty-five men and women, and stepgreat-grandmother of a lot of boys and girls of about her own age.”

A Triangle Calculator

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Image: Wikimedia Commons

Edric Cane came up with a simple way to establish any row in Pascal’s triangle, creating a simple sequence of fractions that, when multiplied successively, will produce the numbers in any desired row. Here’s an example for Row 7, giving the coefficients for (a + b)7 = a7 + 7a6b + 21a5b2 + 35a4b3 + 35a3b4 + 21a2b5 + 7ab6 + b7:

triangle calculator - row 7

Another example, for Row 10:

triangle calculator - row 10

The same can be done for any desired row.

(Thanks, Alex.)

Theme and Variations

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Image: Wikimedia Commons

All of Johann Sebastian Bach’s surviving brothers were named Johann: Johann Rudolf, Johann Christoph, Johann Balthasar, Johannes Jonas, and Johann Jacob. His father was Johann Ambrosius Bach, and his sister was Johanna Juditha.

By contrast, his other sister, Marie Salome, “stuck out like a sore thumb,” writes Jeremy Siepmann in Bach: Life and Works. “And they all had grandparents and uncles and cousins whose names were also Johann, something. Johann Sebastian’s own children included Johann Gottfried, Johann Christoph, Johann August, Johann Christian, and Johanna Carolina.”

(Thanks, Charlie.)

Some Odd Words

Doubtful but entertaining:

Several sources define vacansopapurosophobia as “fear of blank paper” — it’s not in the Oxford English Dictionary, but it’s certainly a useful word.

I’ve also seen artiformologicalintactitudinarianisminist, “one who studies 4-5-letter Latin prefixes and suffixes.” I don’t have a source for that; it’s not in the OED either.

In Say It My Way, Willard R. Espy defines a cypripareuniaphile as “one who takes special pleasure in sexual intercourse with prostitutes” and acyanoblepsianite as “one who cannot distinguish the color blue.”

In By the Sword, his history of swordsmen, Richard Cohen defines tsujigiri as “to try out a new sword on a chance passerby.” Apparently that’s a real practice.

And one that is in the OED: mallemaroking is “the boisterous and drunken exchange of hospitality between sailors in extreme northern waters.”

(Thanks, Dave.)