Archive for August 2017
“Mathematics is the art of giving the same name to different things”*…

A 3,700-year-old clay tablet has proven that the Babylonians developed trigonometry 1,500 years before the Greeks and were using a sophisticated method of mathematics which could change how we calculate today.
The tablet, known as Plimpton 332, was discovered in the early 1900s in Southern Iraq by the American archaeologist and diplomat Edgar Banks, who was the inspiration for Indiana Jones.
The true meaning of the tablet has eluded experts until now but new research by the University of New South Wales, Australia, has shown it is the world’s oldest and most accurate trigonometric table, which was probably used by ancient architects to construct temples, palaces and canals…
More of the remarkable story at “3,700-year-old Babylonian tablet rewrites the history of maths – and shows the Greeks did not develop trigonometry.”
* Henri Poincaré
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As we struggle to remember the difference between a sine and a cosine, we might recall that it was on this date in 1842 that the United States Naval Observatory was authorized by an act of Congress. One of the oldest scientific agencies in the U.S., its primary task was to care for the Navy’s charts, navigational instruments, and chronometers, which were calibrated by timing the transit of stars across the meridian. It’s now probably best known as the home of the “Master Clock“, which provides precise time to the GPS satellite constellation run by the United States Air Force… and for its non-scientific mission: a house located within the Naval Observatory complex serves as the official residence of the Vice President of the United States.
Initially located at Foggy Bottom in the District of Columbia (near the current location of the State Department), the observatory moved in 1893 to its present near Embassy Row.
“A change in perspective is worth 80 IQ points”*…

This rectangular world map [from the design firm AuthaGraph] is made by equally dividing a spherical surface into 96 triangles, transferring it to a tetrahedron while maintaining areas proportions and unfolding it to be a rectangle.
The world map can be tiled in any directions without visible seams. From this map-tiling, a new world map with triangular, rectangular or parallelogram’s outline can be framed out with various regions at its center.
For more background and other views, visit The AuthaGraph World Map.
* Alan Kay
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As we struggle to keep it all in proportion, we might send exploratory birthday greetings to Fabian Gottlieb Thaddeus von Bellingshausen; he was born on this date in 1778. A sailor, navigator, and cartographer, Bellingshausen was appointed by Czar Alexander I of Russia to lead an expedition that aimed to pick up where Captain Cook (who had died a year after Bellingshausen’s birth) left off, exploring the southern polar region of the globe. Bellinghausen may have been the first to sight the Antarctic mainland, when he saw distant mountains on January 28, 1820. Between February 17-19, he recorded seeing ice cliffs and ice-covered mountains, though he didn’t realize that they were in fact a continental mainland. Similar sightings were also made at about the same time British naval captain Edward Bransfield and the American sealing captain Nathaniel Palmer sailing from other directions, so who was actually the first of them to see Antarctica remains unclear.
(Just as there is some uncertainty as to which of the three mariners was in fact the first to sight the seventh continent, so there is some confusion as to Bellingshausen’s birth date. This is one of the primary candidates.)
“Just take the ball and throw it where you want to. Throw strikes. Home plate don’t move.”*…

In the major leagues this season, batters have been hitting the ball so hard, and so far, that pitchers are suggesting foul play. “There’s just something different about the baseballs,” one veteran reliever complained earlier this summer. “I don’t have anything to quantify it, but the balls just don’t feel the same.” It’s been an unprecedented year for home runs: hitters are on pace to shatter the previous single-season record for them (5,693), which was set in 2000, at the height of the steroid era, when sluggers were making widespread and illegal use of performance-enhancing drugs. In June, players hit more home runs than in any previous month in the game’s history (1,101), sometimes in gaudy fashion, as when seven different players hit grand slams in a single day (another record)…
Under the circumstances, it was easy to miss another major-league record being set this week. Granted, it was somewhat obscure. It concerned one of baseball’s most pleasurable and least appreciated feats: the immaculate inning.
Rick Porcello [above], the starting pitcher for the Red Sox, threw one in a win against the Tampa Bay Rays on [August 9]. He struck out the side—three up, three down—on nine consecutive pitches. It was the eighth immaculate inning pitched this season, which topped the previous high (seven), from 2014…
Rarer than a no-hitter: “The ephemeral perfection of the Immaculate Inning.”
And check out The Smithsonian National Museum of American History’s “Treasures from the Baseball Diamond.”
* Satchel Paige
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As we contemplate control, we might consider its opposite, recalling that on this date in 1909, in the first of two games at South Side Park, Dolly Gray of the Washington Senators entered the record book by walking eight White Sox in the 2nd inning, with seven of the walks in a row (each feat a Major League record that stands to this day). The six runs scored were enough for a 6 – 4 Chicago win, although the Sox managed only one hit against Dolly.
“God has no religion”*…
Your correspondent is off for his annual sojourn in the land of dunes and deep-fried food (this year, with a glimpse of the eclipse); regular service should resume on or around August 28. Meantime…

Not since the angel Gabriel visited Muhammad in a cave around 610 AD, informing him that he is God’s prophet, has there been a new globally influential religion with hundreds of millions of followers. Though the world’s religions are very dynamic, and major faiths continue to shift and evolve in ritual and doctrine, the world today is dominated by the same four faiths that dominated the globe a millennium ago: Hinduism, Buddhism, Christianity, and Islam. According to a 2012 Pew study, 92 percent of religiously affiliated people around the globe belong to one of these four faiths.
While some relatively recent faiths have succeeded in recruiting millions of followers—such as the Church of Jesus Christ of Latter-Day Saints (Mormonism), Scientology, and Baha’i—their numbers of adherents are dwarfed in scale by these earlier four. The Baha’i, for example, are a relatively numerous recent faith with an estimated 7 million adherents. That sounds impressive, but it still means that just 0.1 percent of humanity has joined Baha’ism—and the faith has been around for 150 years (since 1863).
Faiths, of course, don’t have to be numerous to deliver spiritual sustenance to their followers, or even to be influential, as Judaism (a religion of 14 million) shows. Still, the small scale of new faiths over the past 1,500 years since Islam raises a question: Why, if creating new faiths is an inextinguishable feature of the human condition, have new religions had such limited recent success?…
The story of one imprisoned prophet illustrates the difficulties of getting a “baby religion” off the ground: “Why Are There No New Major Religions?”
C.F. also: Britannica‘s piece on New Religious Movements.
* Mahatma Gandhi
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As we direct our prayers, we might spare a thought for Genghis Khan, nee Temüjin; he died on this date in 1227. The founder of founder of the Mongol Empire (which became the largest contiguous empire in history after his death), he launched the Mongol invasions that conquered most of Eurasia, bringing the Silk Road under cohesive political control. Though renown for the brutality of his campaigns, he practiced meritocracy– and religious freedom.

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