Category Archives: Mathematics

It’s a spherical video in a mathematically triplified space with symmetry in space-time

Vihart: Peace for Triple Piano. (YouTube 3D video, 4:15min)

This has got to be one of the most amazing things done with a 3D camera I’ve ever seen. Pro tip: Watch this in fullscreen mode on your phone so you can look around by moving the entire phone, and use headphones to get the full 3D sound effect as well.

Make sure to also watch

Henry Segerman: The Making of “Peace for Triple Piano”. (YouTube video, 13:52min including a “flat” version of the above 3D video).

In this video Vi Hart and Henry Sergerman explain how the video works: how they made one grand piano and one Vi look like three, but one Henry look like only two at the same time.

Vi writes a little more about this project on her weblog: Vihart.com: Peace for Triple Piano.

(This was published back in February, but I only now realized that the RSS feed of this YouTube channel stopped working.)

Friday Fun

OK Go: The One Moment – Official Video. (YouTube, 4:12min)

A music video that was shot in just four seconds and then slowed down to fit over four minutes of music. Here’s how they did it:

OK Go Sandbox: OK Go Sandbox – One Moment of Math. (YouTube, 4:33min) “Damian Kulash, lead singer of OK Go, discusses the immense amount of math behind their video,”The One Moment”.”

The rest of the OK Go Sandbox is worth checking out as well.

“If you’re not great at math, here’s a primer: Prime numbers can only be divided by 1 and themselves. “

NPR: A Tenn. Man Recently Discovered The Largest Prime Number Known To Humankind. “This past week, a FedEx employee from Germantown, Tenn., made a massive discovery — and it wasn’t in any packages. John Pace found the largest prime number known to humankind. And that number goes on to more than 23 million digits.”

“Extremely likely” means a probability between 95 and 100%

If baffles me that there are still people denying the human influence on climate even though many studies show that it is extremely likely. I mean, if it is extremely likely that you will sustain serious injuries or die when jumping out of a third floor window, would you take the chances and jump?!

Part of the problem seems to be that many people don’t know enough about statistics, and that some politicians don’t trust the scientific method.

NPR The Two-Way: Massive Government Report Says Climate Is Warming And Humans Are The Cause.

“It is “extremely likely” that human activities are the “dominant cause” of global warming, according to the the most comprehensive study ever of climate science by U.S. government researchers.

The climate report, obtained by NPR, notes that the past 115 years are “the warmest in the history of modern civilization.” The global average temperature has increased by about 1.8 degree Fahrenheit over that period. Greenhouse gases from industry and agriculture are by far the biggest contributor to warming.

The findings contradict statements by President Trump and many of his Cabinet members, who have openly questioned the role humans play in changing the climate.

“I believe that measuring with precision human activity on the climate is something very challenging to do,” EPA Administrator Scott Pruitt said in an interview earlier this year. “There’s tremendous disagreement about the degree of impact.”

That is not consistent with the conclusions of the 600-plus page Climate Science Special Report, which is part of an even larger scientific review known as the fourth National Climate Assessment.
[…]
The report states that the global climate will continue to warm. How much, it says, “will depend primarily on the amount of greenhouse gases (especially carbon dioxide) emitted globally.” Without major reductions in emissions, it says, the increase in annual average global temperature could reach 9 degrees Fahrenheit relative to pre-industrial times. Efforts to reduce emissions, it says, would slow the rate of warming.
[…]
The report has been submitted to the Office of Science and Technology Policy at the White House. Trump has yet to choose anyone to run that office; it remains one of the last unfilled senior positions in the White House staff.”