Babylonians used surprisingly advanced geometry

Research published in the 29 January issue of the journal Science shows that more than 2000 years ago, Babylonian astronomers in what is today Iraq were using unexpectedly advanced mathematics to predict the position of Jupiter.

This is based on a clay tablet probably written sometime between 350 and 50 BCE. That would put it sometime more or less contemporaneous with the Greek geometer Euclid of a few centuries after, which is far later than the time of, say, Hammurabi (in the mid-1700s BCE).

Basically, the Babylonians applied geometry to what amounts to a graph whose dimensions were speed versus time. On such a graph area corresponds to distance. Think of it this way: To compute the area of a rectangle you multiply height times width. If the height represents a speed of 60 miles per hour and the width signifies a span of 5 hours, then the area is 60 times 5, or 300 miles, the distance you travel if you drive at 60 miles an hour for 5 hours. The Babylonian astronomers were working in degrees of angle rather than miles, but the principle is the same.

Even Greek mathematicians of that era limited themselves to dimensions of physical distances, not making a leap into using distance to represent speed. In fact, Europeans didn’t attain that level of mathematical sophistication until the 1300s.

Since a sloped line on a graph of speed versus time corresponds to uniform acceleration, the technique is a significant step in the direction of calculus and Newtonian physics.


Link: https://youtu.be/Rx-5dCXx1SI

For more, see this article by Michelle Hampson and this one by Ron Cowen. The original research paper can be found here, but access the full text requires logging in.



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Happy Washington’s Birthday (for real this time)

I’m late getting this posted, but for the record, today, February 22, is Washington’s actual birthday.

The Washington’s Birthday holiday in the United States is observed on the third Monday in February, which never actually falls on Washington’s birthday. But then again, the day Washington was born wasn’t the 22nd of February in the American colonies by the calendar of the time.

That’s because the British Empire did not switch from the Julian to the Gregorian calendar until 1852, long after almost all of Europe had done so. (The other major hold-outs were Sweden, which followed in 1853, and Russia, which continued using the Julian calendar until 1918. That’s why the Communist October Revolution took place in November 1917 as pretty much everybody else reckoned dates.)

The Julian calendar has a leap year every fourth year, which is 3/4 of a leap year too many per century, if you want the calendar to stay more or less in sync with the seasons. The Gregorian calendar avoids that problem by treating years ending in 00 (which are always leap years on the Julian calendar) as regular years unless they’re divisible by 400. Hence, 1600 and 2000 were leap years in the Gregorian system, but 1700, 1800, and 1900 were not.

When adopted by the Catholic Church in 1582, the calendar also skipped ahead 10 days, which put the celebration of Easter relative to the spring equinox back in line with what had been intended by first Council of Nicea in 325. When Britain got around to converting, the discrepancy between the two calendars had increased from 10 to 11 days because 1700 was a leap year by the Julian calendar but not the Gregorian.

To complicate matters further, Britain had previously followed an old practice of treating March 25 as the start of the New Year. The Gregorian convention was and is to start the year on January 1. So Washington’s birthday didn’t just fall on different days of the month by the two calendars, but in different years. Washington was born 11 February 1731 O.S. (“Old Style”), but on the Gregorian calendar that was 22 February 1732 N.S. (“New Style”). That’s what makes today, 2016 February 22, his birthday as we now count dates.

I’m not sure whether the date was written day-month-year at the time, as the British currently do, or month-day-year, the American convention. As for me, I’ve come to prefer the more rational UNESCO/ISO convention of writing year-month-day, which is consistent with giving the time in terms of hours-minutes-seconds, but I digress.

A lot of people refer to the official holiday as some variation on “Presidents Day,” but the official name at the federal level is “Washington’s Birthday.” According to Wikipedia, it’s been officially designated as “Presidents Day” by the three states of Nevada, New Jersey, and Oregon. It’s also “President’s Day” (apostrophe before the S) in Alaska, Idaho, Maryland, Nebraska, New Hampshire, Tennessee, West Virginia, and Wyoming, and “Presidents’ Day” (apostrophe after the S) in Hawaii, New Mexico, North Dakota, Oklahoma, Puerto Rico, South Dakota, Texas, Vermont, and Washington.

But even here in North Carolina, television stations and stores insist on calling it “Presidents Day” though that’s not the official state or federal name of the holiday.

Montana, Colorado, Ohio, Utah, and Minnesota refer to it as some variation on “Washington’s and Lincoln’s Birthday,” Alabama calls it “George Washington/Thomas Jefferson Birthday,” though Jefferson wasn’t born in February at all but rather 1743 April 13 (which was 1743 April 2 O.S.).

Finally, in Arkansas it’s George Washington’s Birthday and Daisy Gatson Bates Day. Daisy Gatson Bates was a civil rights leader who helped integrate the Little Rock schools.



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Rahat as the frog prince

The guy behind the drive-thru pranks (skeleton driver and the like) does a bit with a plush frog sitting on a bench in a park who asks women to kiss him and turn him back into a prince. A remarkably high percentage of passing women do it.


Link: https://youtu.be/Mco-cpRLXZ0

I doubt I’d be remotely as successful as this frog if I tried the same thing. I’m not sure how much I should be distressed by this realization.

Which vaguely reminds me that years ago at Rockefeller Center a very attractive woman asked me take a photo of her standing in front of New York. I wondered why, out of all the people there, she picked me out. I decided it was because she figured that if I tried to run off with her camera, I looked like I would be easy to catch.



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Surgeon Simulator

Apparently there’s a two-player video game called Surgeon Simulator that permits each player to control one of the surgeon’s hands. Here YouTubers Rhett and Link give it a try. The Surgeon Simulator bit starts two minutes in.

You might not want to watch this if you have surgery scheduled.


Link: https://youtu.be/u-K2LGFP7ag

Each day these guys do an episode on the Good Mythical Morning channel running about 10 minutes and typically devoted to interesting trivia, and that episode is then continued for another 10 minutes or so on the separate channel Good Mythical More for those who have extra time. Twenty minutes a day seems a little excessive to devote to watching Rhett and Link, so I watch them only occasionally, but then again I know people who watch a big chunk of The Today Show every morning, and I’d rather watch Rhett and Link. Click below for the channels in question:

Good Mythical Morning
Good Mythical More



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The latest on Obamacare

The Affordable Care Act isn’t perfect and hasn’t nearly solved all the problems with U.S. healthcare, but so far it’s accomplished a lot to make things better.

Most notably, the number of uninsured Americans is far lower than it used to be. As Simon Maloy’s article posted yesterday at Salon points out, during the first 9 months of 2015, 16 million fewer people were uninsured than two years previously. Among the poor and near-poor, the uninsured rate dropped from over 40 percent to about 25 percent. The improvement was even greater for children in low-income families. (These numbers would be even better if not for state governments that for ideological reasons refused the Medicaid expansion, despite the fact that it would have helped their finances as well as providing medical care to those in need.)

Furthermore, contrary to the rote talking points cited by some politicians, the ACA has very little negative impact on employment. In fact, some businesses initially did reduce hours for many workers so they could be classified as part-time and not eligible for employer-provided health insurance. But this proved to be a bad idea. For one thing it required hiring more total workers, and at the same time by making the jobs less attractive it made it harder to recruit the most productive employees.

In a post last week, Drum pointed out that the Affordable Care Act has cut the number of uninsured Americans form about 19 percent to about 10 percent, a massive change in the right direction. Not only does it enable more people to get the medical care they need, it also makes it more likely that doctors and hospitals will get paid.

Of course, as mentioned in December, not everything is rosy. Premiums and deductibles are too high for many people, and too many have a limited network of providers. These are solvable problems if and when the Republicans in Congress stop trying to repeal the Act and do their part to improve it.

(Updated 2016 February 23 to delete a redundant reference to a blog post by Kevin Drum.)



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Ted Nugent hits rock bottom and digs

Alleged rocker Ted Nugent is well known for bizarre utterances and right-wing extremism (see for example these items), but in 2016 it’s astonishing that even he would post the sort of thing he did Sunday to his Facebook page.

It features an image (possibly not created by Nugent) headed “So who is really behind gun control?” Below are photos of 12 prominent persons, all of them Jewish, and in case you might miss that point, each photo includes a miniature Israeli flag. The picture of “New York Mayor Mikey Bloomberg” labels him inter alia an “Israeli agent.” The one of Senator Frank Lautenberg is captioned, “Gave Russian Jew immigrants your tax money.” Below the array of photos Nugent writes, “Know these punks. They hate freedom, they hate good over evil, …” and so on.

When various people across the political spectrum criticized his Facebook post, some calling for Nugent to be kicked off the board of directors of the National Rifle Association, Nugent responded, “What sort of racist prejudiced POS could possibly not know that Jews for guncontrol are nazis in disguise?” Various white nationalist writers and websites praised Nugent for the post.

For more, see Talking Points Memo, Media Matters, and Right Wing Watch.



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Bad Lip Reading NFL 2016

Updated February 6 to include Part 2.

More from the folks at Bad Lip Reading, this time featuring the special added bonus of pig sounds near the end of Part One:


Link: https://youtu.be/W-kGosnzvjU

Because the NFL is being difficult, you’ll probably have to click through to YouTube, but that should be pretty painless.

“Long live Wu-Tang.”

Here’s Part Two:


Link: https://youtu.be/YtIPmVN6zdc



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Two animated shorts made with Blender

Blender is excellent software for creating computer-generated images, animations, and special effects. Remarkably, it’s also free and open source. (It can be downloaded here for various operating systems.)

Here are two recent short animated films (combined running time under six minutes) created with Blender though they show very different styles of animation.


Link: https://youtu.be/SkVqJ1SGeL0


Link: https://youtu.be/lqiN98z6Dak



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John Green tests “life hacks”

Novelist and incredibly prolific YouTuber John Green puts a number of supposed “life hacks” to the test, with results that are often amusing and sometimes useful:


Link: https://youtu.be/AeqXaWMFUm8

Highlights include

  • Freezing onions stops them from causing tears
  • Freezing clothing with gum stuck to it makes it easier to remove the gum
  • (John neglects to mention it, but these two hacks can probably be combined)
  • A ZiplocĀ® or similar sealable plastic bag can protect a smart phone at the beach while leaving it still mostly usable
  • If you make a low wall of peanut butter near the outer edge of a peanut-butter-and-jelly-sandwich, this keeps the jelly from falling out
  • Microwaving granola bars makes them less crumbly
  • You can slice a watermelon using a quarter and karate, but it takes 45 minutes


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