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In 125 years, millions of people have looked at this painting. No one really saw it until recently.

Van Gogh saw something it took scientists another 100 years to see.

Image from Wikimedia Commons.

Van Gogh's Starry Night, 1889.

Vincent van Gogh never got to enjoy his own historic success as an artist (even though we've been able to imagine what that moment might have looked like). Van Gogh died in 1890 at the age of 37 in Auvers-sur-Oise, France after shooting himself in the chest with a revolver. It was a tragic end to a turbulent life marked by mental instability and severe self-doubt.

According to the Van Gogh Museum, in a letter to his brother Theo in 1890, just a couple of weeks before his death, Van Gogh wrote, "...my life, is attacked at the very root, my step also is faltering." The man was struggling and exhausted. The high standards he had set for himself and his art were taking a toll. He was unsure about his future and, up to this point, had not received much recognition for his work and thought himself a failure "as a man and as an artist."

His most well-known work, Starry Night, was famously painted while Van Gogh was staying in an asylum in France 1889 after he mutilated his ear during a psychotic episode. According to the Van Gogh Museum, though, this may not be the full story. While it is widely agreed that Van Gogh did in fact cut off his own ear, the museum notes that it was because of a fight between Van Gogh and Paul Gaugin, the artist he had been working for in Aries, that led to the violent explosion that highlighted his deteriorating mental state.

Vincent Van Gogh, artist, 19th century, famous artist, Starry NightVincent Van Gogh's Self-Portrait, 1889Image via Canva.

As one of the best known and most studied artists of the 19th century, Van Gogh's madness and how it influenced his work is not new information. But it turns out that those of us who have appreciated his work have been missing out on some critical details for more than 100 years—revealed in the 2010s thanks to the Hubble Space Telescope.

A video at the bottom of the page will explain everything, but before we get there, let's do some backstory:

We known Van Gogh was an artist—and a genius artist at that—but, it turns out, he was also scientist. Kind of.

Whether intentionally or not, fresh eyes have found that Van Gogh's art—aside from being breathtaking—also captures one of science and nature's most elusive concepts: Turbulence.

The concept of turbulence is hard to understand with math, but it turns out art makes it fairly easy to comprehend through depiction. So, what is turbulence?

According to Britannica, turbulence, or turbulent flow, is a concept of fluid dynamics in which a type of fluid flow (liquid or gas like air or water or air) undergoes an irregular fluctuation or energy cascade. In other words, the air or water swirls and eddies as it moves: big eddies make smaller eddies, and those make even smaller ones, and so on. Common examples of turbulent flow include blood flow in arteries, lava flow, atmosphere and ocean currents, and the flow in boat wakes or surrounding the tips of aircraft wings.

It looks like this:

figures, flow, turbulence, turbulent flow, science, movementTurbulent flow illustrated and animated.All Van Gogh GIFs via TED-Ed.

The thing is, scientists only started figuring this out pretty recently.

turbulence, turbulent flow, science, nature, researchAnimation of art referencing science.All Van Gogh GIFs via TED-Ed.

And yet, there was Mr. Vincent van Gogh, 100 years earlier in his asylum with a mutilated ear and able to accurately capture this turbulent flow in what would become his most famous work, Starry Night.

Starry Night, Van Gogh, turbulence, art, art captures scienceAnimated Starry NightAll Van Gogh GIFs via TED-Ed.

The folks who noticed Van Gogh's ability to capture turbulence checked to see whether other artists did the same. Most of the Impressionists achieved "luminance" with their art—a striking and lifelike depiction of light's effect on color. While impressive, they did not capture or depict turbulence the way Van Gogh did.

The Scream, Edvard Munch, art, popular art, history, painting An animated depiction of The Scream.All Van Gogh GIFs via TED-Ed.

Not even Edvard Munch's The Scream, with it's swirling color and movement, could recreate what Van Gogh had accomplished.

Even in his darkest time, Van Gogh was able to capture—with eerie accuracy—one of nature's most complex and confusing concepts 100 years before scientists had the technology to do so.

Who would have thought that the beauty Van Gogh captured was foreshadowing what scientists would observe in the real, natural world in a century's time? To learn even more, watch the TED-Ed video below:

- YouTubeyoutu.be

This article originally appeared twelve years ago. It has been updated.

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Education

Math professor shows how adding and subtracting left to right is actually easier and faster

Mind. Blown.

Howie Hua/TikTok

Howie Hua shares helpful math tips and tricks on social media.

Math is weird.

On the one hand, it's consistent—the solutions to basic math problems are the same in every country in the world. On the other hand, there are multiple strategies to get to those solutions, and it seems like people are still coming up with new ones (much to the chagrin of parents whose kids need help with homework using methods they've never learned).

Math professor Howie Hua shares math strategies that make math easier on social media, and his videos are fascinating. Hua, who teaches math to future elementary school teachers at Fresno State, demonstrates all kinds of mental math tricks that feel like magic when you try them.

For instance, Hua has two videos showing how easy and quick it is to add multidigit numbers left to right instead of right to left, and it's genuinely mind-blowing.


Check out how he explains why adding left to right is "underrated."

OK, seriously. That is way easier to do in your head. It's basically putting the numbers into expanded form and adding them, which makes it easier to visualize.

Adding this way makes sense, but subtracting is a bit more complicated, right?

Wrong, apparently. Watch Hua work his math sorcery subtracting two and three-digit numbers.

@howie_hua

Did you know you can subtract left to right? #math #mathematics #mathtok #maths #teachersoftiktok #teacher #mathtricks #mathtrick

Holy moly. That's faster than the right-to-left, borrow-from-the-next-column method, isn't it? And again, so much easier to visualize what's actually happening, though I don't know if I could fully do this in my head like I could with the left-to-right addition.

Hua recently shared another cool subtraction trick for problems with minuends that have a lot of zeroes. (The minuend is the first number in a subtraction problem. Don't be too impressed. I had to look it up.)

Check this out:

@howie_hua

An underrated subtraction strategy #math #mathematics #mathtok #maths #teachersoftiktok #teacher #mathtricks #mathtrick

So simple, so time-saving and so something I would never have figured out on my own.

These tips and tricks might come in handy for anyone, but they're especially useful for kids who are having to do these kinds of math problems at school all the time. Even if they're supposed to solve the problem with a different strategy, these methods can be a quick way to check their answers.

Anything that makes math easier, I say. You can watch Hua's videos on TikTok, YouTube and Twitter.


This article originally appeared on 10.12.22

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Pop Culture

People are busting out calculators to check this seemingly impossible math equation

This math isn't mathing.

Photo credit: Canva

It's math that's simple enough for a third grader, but it seems wrong no matter how you calculate it.

Time is a strange phenomenon. It speeds up when we want it to slow down and drags when we wish it would go by faster. Sometimes it feels like we blink and a decade has gone by. Cue "the days are long, but the years are short," "time flies when you're having fun," and all the other time cliches that feel 100% true.

Of course, those truisms are all about our perception of time, not time itself. Time ticks by in a never-changing rhythm of seconds, minutes, hours, days and years, perfectly metered and measured. But it sure doesn't feel that way, which is why a simple math equation an average third grader can do has grown adults pulling out their calculators to make sure it's correct.

The equation in question comes from meme that reads "1981 and 2024 are as far apart as 1981 and 1938."

Yep, it's correct. The math checks out, no matter how many times you plug the numbers into the calculator. So why does it feel so wrong?

Again, time is a tricky thing. Those of us who were alive in 1981 remember how far back 1938 seemed to us at that time, and there's simply no way that distance is what 1981 is to us now. It seems impossible.

Part of the problem is that, at least for the middle-agers among us, the 80s still feels like they happened 20 years ago, not 43. That's simply how time perception works as we age.

But that's not all of it. As some people have pointed out, there were certainly major changes in both time periods, but the hugely significant cultural changes from 1938 to 1981 were more visible in many ways than most changes we've seen since then. Yes, technology exploded near the turn of the millennium, but once the internet and laptops and smartphones hit the scene, tech advancements have mostly been a matter of degree—better, smaller, lighter, faster, more efficient, more intuitive—in fairly steady increments and not so much dramatic jumps.

From 1938 to 1981, we saw huge leaps, from tiny black-and-white television to full-color cable television, from the first transatlantic passenger flight to sending humans to the moon on space shuttles, from switchboards and party lines to cell phone technology, from human computers to PCs.

We also saw clothing styles change drastically from one decade to the next during that time period in a way that we haven’t really seen in the past 40 years. Same with architecture and home designs. The mid-20th century saw the birth of rock n' roll, the Civil Rights Movement and the shift to women into the workforce. Again, huge leaps.

Wars also defined generations more in the mid-20th century than in the decades since, from WWII to the Vietnam War to the Cold War. It’s not that we haven’t had wars since 1981, but the direct impact of those wars on American life has not been as notable as those previous wars were.

Then again, it’s possible that much of the difference in feel is simply our perception of life now vs. then. Do the years since 1981 seem shorter simply because we’ve lived them, whereas most of us weren’t alive for a good chunk of the 1938 to 1981 time period and only learned it as “history”?

Hard to say, but one thing that’s clear is that people do not like the way this math feels, as evidenced by the comments people left on the post.

“Fitz is cancelled. Feeling triggered here. Lol”

“I did the math too many times because I don’t want to believe this.”

“As someone born in 1981 I really dislike this.”

“Shut your mouth. Those are fighting words! “

“I honestly did nothing to you! Like why?”

“They're not far apart. You're far apart."

It certainly will be interesting to see how the next 43 years feel for the people who live through it vs. 1981 until now.

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Education

Watching kids do lightning fast mental math is both mesmerizing and mind-blowing

Their finger twitching looks random, but WOW is it impressive.

Digamarthi Sri Ramakanth/Wikimedia Commons

2003 UCMAS National Abacus & Mental Arithmetic Competition

In the age of calculators and smartphones, it's become less necessary to do math in your head than it used to be, but that doesn't mean mental math is useless. Knowing how to calculate in your head can be handy, and if you're lucky enough to learn mental abacus skills from a young age, it can be wicked fast as well.

Video of students demonstrating how quickly they can calculate numbers in their head are blowing people's minds, as the method is completely foreign for many of us. The use of a physical abacus isn't generally taught in the United States, other than perhaps a basic introduction to how it works. But precious few of us ever get to see how the ancient counter gets used for mental math.

The concept is simple and can be taught from a young age, but it takes a bit of time and practice to perfect. Watch what it looks like for basic addition and subtraction at lightning speed, though:

If you don't know what they're doing, it looks like students are just randomly flicking their fingers and wrists. But they are actually envisioning the abacus while they move their fingers, as if they were actually using one.

There are various methods of finger calculations that make use of abacus concepts. Watch another method that uses both hands in action:

Even very young children can calculate large sums very quickly using these abacus-based mental math methods. Watch these little superstars add two-digit to four-digit numbers like it's nothing.

How do they do it?

Much of the skill here requires a solid understanding of how an abacus is used to calculate and lots of practice with the physical movements of calculating with it. That's not exactly simple to explain, as it take a couple of years of practice using an abacus—for these mental calculations, specifically the Japanese soroban abacus—to gain the skills needed to be able to calculate quickly. BBC Global shares how such practices are taught in Japan, not only for mental math but for overall cognitive memory:

Abacus mental math programs online recommend learning it between the ages of 5 to 13. It is possible to learn at older ages, but it might take longer to master compared to younger students.

But if there's a finger method you want to try for addition and subtraction up to 99, one that's simple and quick to learn is called chisanbop, in which ones are counted on one hand and 10s are counted on the other. Here's an explainer video that shows how it works:

Chisanbop!

Most of us carry calculators around in our pockets with us at all time, so such practices may feel like a waste of time. But learning new skills that tax our brain is like a workout for our mind, so it's not a bad idea to give things like this a spin. Even if we don't learn to calculate large numbers in the blink of an eye, we can at least exercise our mental muscles to keep our brains healthier. And who knows, maybe we'll get a party trick or two out of it as well.

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