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3,700-year-old Babylonian stone tablet gets translated, changes history

They were doing trigonometry 1500 years before the Greeks.

3,700-year-old Babylonian stone tablet gets translated, changes history
via UNSW

Dr. Daniel Mansfield and his team at the University of New South Wales in Australia have just made an incredible discovery. While studying a 3,700-year-old tablet from the ancient civilization of Babylon, they found evidence that the Babylonians were doing something astounding: trigonometry!

Most historians have credited the Greeks with creating the study of triangles' sides and angles, but this tablet presents indisputable evidence that the Babylonians were using the technique 1,500 years before the Greeks ever were.

Mansfield and his team are, understandably, incredibly proud. What they discovered is that the tablet is actually an ancient trigonometry table.

Mansfield said:

"The huge mystery, until now, was its purpose – why the ancient scribes carried out the complex task of generating and sorting the numbers on the tablet. Our research reveals that Plimpton 322 describes the shapes of right-angle triangles using a novel kind of trigonometry based on ratios, not angles and circles. It is a fascinating mathematical work that demonstrates undoubted genius."

"The tablet not only contains the world's oldest trigonometric table; it is also the only completely accurate trigonometric table, because of the very different Babylonian approach to arithmetic and geometry. This means it has great relevance for our modern world. Babylonian mathematics may have been out of fashion for more than 3,000 years, but it has possible practical applications in surveying, computer graphics and education. This is a rare example of the ancient world teaching us something new."

The tablet predates Greek astronomer Hipparchus, who has long been regarded as the father of trigonometry. Mansfield's colleague, Norman Widberger, added:

"Plimpton 322 predates Hipparchus by more than 1,000 years. It opens up new possibilities not just for modern mathematics research, but also for mathematics education. With Plimpton 322 we see a simpler, more accurate trigonometry that has clear advantages over our own."
"A treasure trove of Babylonian tablets exists, but only a fraction of them have been studied yet. The mathematical world is only waking up to the fact that this ancient but very sophisticated mathematical culture has much to teach us."

People were understandably excited by the news.

Some mathematicians actually think studying the Babylonians back then could help us improve the way we do trigonometry today.


Of course, there were the haters...

But all in all, Twitter users were pretty impressed with the Babylonians' skills.

And they figured it out 3,700 years ahead of me...and counting.— Marty (@Marty) 1503631905

Congratulations to Dr. Mansfield and his team on their incredible discovery... and for making trigonometry exciting!


This article originally appeared on 07.10.21

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5 things that made us smile this week

More smiles, more (happy) tears.

This week's happy things include saving the environment, sibling love, and the most incredible birdcalls you've ever heard.

True

Wanna know what we’re thankful for this week? The Internet. It truly is a gift that keeps on giving us the best of humanity every single week—and Thanksgiving week is no exception. Check out these five things we’ve found that are guaranteed to make you smile (and maybe even shed a few happy tears).

Enjoy—and don't forget to share the love!

1. This kid's incredible knack for birdcall

@diabetic4one This is Samuel’s bird call performance at his schools talent show. He loved every minute of this #autism #birder #fypage #talent #agt ♬ original sound - lori

We dare you to find a better impressionist than ten-year-old Samuel Henderson, this ten year old student from Oklahoma City. Samuel, who has autism, has mastered over 50 different bird calls and performed several of them at his school’s talent show recently. These calls were so accurate that scientists at the Cornell Lab of Ornithology reached out to Samuel and invited him to their lab to study birds. We couldn't be happier for him. (Also the way he throws these birds over his shoulder when he’s done with them—perfection.)

2. Protecting America's most treasured places.

Subaru Share the Love Event and National Park Foundation

Good news for national parks! As the largest corporate donor to the National Park Foundation, Subaru has protected over 400 national parks throughout the Subaru Share the Love Event. What’s more, Subaru and its retailers will donate a minimum of $300 to charities like the National Park Foundation, helping preserve and protect the national parks for future generations.

3. This adorable brother-sister dance.

When six-year-old Harper couldn’t find a partner for her dance studio’s annual summer showcase, her 14-year-old brother Micah stepped in to save the day. The two performed an adorable “Barbie and Ken” themed routine, complete with an adorable fist bump and a lift. What a gentleman.

4. A high school football team cheers on the band kids.

Cue the happy tears: A group of football players at American Fork High School in Utah showed up to cheer on the band kids at a recent competition. Their coach, Aaron Behm, encouraged his team to start showing up to support after noticing a divide between the football players and the marching band. In an interview with Today.com, Behm said, “They come and play at our games and provide an awesome environment, and they deserve our support.” Now that’s sportsmanship.

5. This heartfelt exchange between neighbors

This neighborly exchange captured on camera doorbell footage is the perfect antidote for everyone who’s been feeling like the country is seriously divided lately. On her way to a Muslim funeral, one neighbor stopped by her Muslim neighbor’s house for advice on what to wear. Not only does the Muslim neighbor give her a demonstration on how to wrap her headscarf in real time, the neighbor lets the woman keep the item. Beautiful.

For more reasons to smile, check out all the ways Subaru is sharing the love this holiday season, here.

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Teachers share how different students are in 2024 than when they first started teaching

So many teachers got brutally honest about the struggles they've been facing in the classroom.

Photo credit: Canva

Things have changed. And not necessarily for the better.

The country is experiencing a major teacher burnout right now, and has been for quite a while. Obviously, COVID only exacerbated issues that were already present. But beyond dealing with grossly low wages, a neverending list of extra responsibilities and battling against phones for attention…there’s a more existential shift in students that’s making teachers become both disillusioned with their vocation, and concerned about this younger generation.

Recently, someone considering becoming a teacher asked other more experienced educators on Reddit to share "biggest difference you see in kids from the time you started teaching to right now in 2024?" The responses offer a bluntly candid glimpse of some of the challenges faced in schools today—but there are also some positive nuggets thrown in.

Below are some of the top answers.

1. "Level of curiosity... [it's] almost non-existent today. When I started in the '90s, there were always a handful of students in every class that wanted to know 'Why?' but in recent years, it's either 'Just tell me the answer' or 'Who cares? Just mark it wrong.'"—u/Pretend_Screen_5207

2. "I can't show movies or videos anymore because it is all boring to them. It is boring because they have Netflix on their phone and they can watch whatever they want at any time. It isn't special to watch a movie. "—u/Ferromagneticfluid

3. "Fine motor skills seems to be way down. I teach instrumental music, and kids [being able to figure] out where to put their fingers and how to maneuver them has gone way down since COVID."

classroom, kids" Kids [being able to figure] out where to put their fingers and how to maneuver them has gone way down since COVID."Photo credit: Canva

—u/eagledog

4. "A huge difference I’ve noticed is it is becoming disturbingly common for parents to explicitly tell their kids that they don’t have to follow school rules. Students are always so smug about it when they say that their mom gave them permission, and then equally enraged when they still receive the related consequence because mom doesn’t make the rules at school…Absolutely could never have been me when I was a student, and this was not a thing when I first started teaching. But this kind of attitude has grown increasingly more common every year."

—u/kaelhawh

5. "Kids just seem dumber overall. Could be the area I teach in, but basic math and literacy skills have constantly trended downward here. We keep lowering the bar for interventions because we don't have enough spots if half the school needs math and reading support.” —u/Baidar85

6. "Year 22 starts in July. I don't know if I can put it in words, but there's an air that little children have: it's a combination of silliness, joy, fearlessness, creativity, curiosity, imagination, and sweetness. Occasionally some naughtiness creeps in but it's all very innocent...I've taught K-1 most of my career and while many little kids still have all of these qualities, it's astonishing how many kids don't. You hand them a piece of paper and they say, 'I don't know what to draw,' or 'I don't like to color. You put on a silly dancing song and they not only refuse to stand up, they sit there whining 'This is BORING.' The water during science turns blue and they say 'Whatever.'


teachers, teaching"They've just... lost a huge developmentally appropriate part of their childhoods. It's going to have long-lasting societal repercussions."Photo credit: Canva

I think they're growing up too fast... They're afraid of looking silly or getting dirty or drawing attention to themselves by asking a question. They'd rather be on their phones more than anything in the whole wide world, but since they're at school, a Chromebook will do. If they're asked to do something challenging or ‘boring' they'll run to the counselor to complain about their big feelings so they can get access to a screen to 'calm down.' My kids are 5 to 8, generally, and they've just... lost a huge developmentally appropriate part of their childhoods. It's going to have long-lasting societal repercussions." —u/azemilyann26

7. "I’ve moved schools so I’m gonna have a rare opinion; they got much better in every area possible. Smarter, kinder, more respectful, self-aware, less entitled."—u/swift-tom-hanks

8. "I just finished year 34, all in upper elementary and middle school. Back in the day, I'd have one or two kids in a class who didn't give a flying f**k and who did literally nothing. Now it can be a third of the class. It's mind-blowing. I will have several assignments over the course of a trimester where less than half of the class will get the thing done and turned in. Nearly every assignment will have a couple of kids who write their names on it and then turn in blank pieces of paper."

—u/DerbyWearingDude

9. "I've been in early childhood [education] for 10 years now, [and] was a sub for about five years before that. What I've noticed since COVID is a profound lack of social skills. Not just a lack of curiosity or emotional dysregulation, which I've seen in spades, but an inability to play or talk or cooperate with other kids. Each kid is their own little island and they have zero interest in visiting other islands. "I've literally had to teach 5-year-olds how to play basic 'toss the ball' games or work together to build a wall of blocks' whereas before, they would be coming up with wacky 'Calvinball' type games on their own and pulling everyone under four feet tall into the game with barely any effort. Now, I might as well be trying to teach them physics in Klingon."

—u/the_owl_syndicate

10. "Their handwriting is…comically big, completely illegible, letters not formed correctly, not within lines/margins if it's on loose leaf paper - straight up looks like a 1st grader wrote it. And this [is] junior high...Sometimes I feel so frustrated at them not getting incredibly basic art concepts and techniques, such as copying a similar value/line/angle or whatever, then realize they can't even write a letter 'g 'correctly, and it makes sense."

handrwiting for kids, kids development"Their handwriting is…straight up looks like a 1st grader wrote it. And this [is] junior high."Photo credit: Canva

—u/_crassula_

11. "The maturity level has been reduced about three or four years since I started in 1990."—u/Felixsum

12. "As an English as a foreign language teacher, here's a positive one: the internet/phones/tablets have made English accessible for EVERYONE. "Even in countries like Egypt where the parents speak no English at all, I'm noticing their kids have a great base level just from playing on their phones. It's pretty cool! Even young kids know quite a bit now."

—u/Accomplished-War1971

13. "When I sub, I rarely see students reading books or drawing for fun (even in art class); they mostly use their laptops/phones to listen to videos or play games…But even more baffling are the ones who are told to put devices away [and] just sit in complete and total silence and do nothing but stare at the desk the entire class. They don't do worksheets, they don't do homework, they don't draw; nothing."—u/Seamilk90210

14. "Been teaching middle school for 12 years. Kids are now testing lower than ever. I’d say I have around 10-15 middle schoolers that are testing at a 1st-3rd grade level. Students also lack the ability to be resourceful and persevere. They give up the moment something gets too difficult."

why teachers quit"They give up the moment something gets too difficult."Photo credit: Canva

—u/TraditionalSteak687

15. "At the start of my career, on days leading up to and day of an assessment, my mornings would be absolutely devoured by students seeking extra help. Like, a full hour before the first bell I'd be circulating around answering questions and I would have to make a turn order and consolidate kids who had the same questions. Last three or so years? Absolutely silent. One kid might come in and ask me one question they didn't really need to ask and just want some reassurance."—u/enigma7x

…and let's end with a sweet one to remember it's not all terrible...

16. "28 years of experience... It's genuine kindness. Kids are so much more kind now than they were when I started in the '90s. They are so accepting of kids of different races, gender identities, [and] intellectual differences like autism. 'Accepting' isn't even a strong enough word. Kids [who] would be in such different social circles due to peer pressure in the '90s are friends now. I'm a straight white guy [who] was in high school in the '80s. I wish I was brave enough then to be as kind as kids are now.I have plenty of complaints about phone addiction or the inability to multiply 5x4 without a calculator, but this is the most kind generation of students I've ever taught." —u/scfoothills


This article originally appeared in August.

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Millennial shares 'proof' they've set the new standard for what it looks like to age

Gen Z may have to concede to this point.

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Millennial shares 'proof' they're not aging as quickly as Gen Z

Millennials and Gen Z truly have a sibling kind of relationship. They take turns teasing each other but in the end it's nothing but love between the two generations. In recent months people were taunting Gen Z about their looks saying that they age like milk and several from that generation agreed that people often mistake them for much older than they are.

Well, it seems Gen Z is back with their own commentary about how poorly Millennials age but instead of the older sibling in this rivalry conceding to the point, they dispute it...with receipts. Ouch, this one probably stings a bit. Chris Bautista uploaded a video response to TikTok addressing the young whippersnappers telling Millennials they look old to explain why they feel that way.

The answer is quite simple. Millennials set the bar for what aging looks like for people approaching middle age according to Bautista.

"I'm gonna say this a little bit louder for the Gen Zers in the back that didn't hear me the last time. Millennials look fantastic for our age and you cannot tell us otherwise," Bautista starts. "The reason why you think we don't look great for our ages is because we have set the new standard of what it looks like to age."

Then he pulls out receipts. Pictures of celebrities who were the age Millennials are right now when the pictures were taken. Yikes! Most Millennials look no where near the age of the people in the pictures, but maybe the camera added 10 years?

Watch the video:

@bautistud This needs to be said for millenials 🫡 #millennialsoftiktok #genzvsmillenial #aging ♬ original sound - Chris Bautista

"It's cause all millennials used the St. Ives peach scrub exfoliating wash and we achieved eternal youth," someone surmises.

"It's gotta be the Flintstone vitamins," another guesses.

"I don't know, I am 40 and got stopped at my son's high school security guard because he thought I was a student. No one ever believes my age," one person writes.

"But seriously like what's the reason? Cause this life has been stressful," someone else asks.

So is Gen Z really aging poorly or did Millennials get some weird radioactive Flintstone vitamins laced with asbestos that is causing their cells to age slower? The world may never know but hopefully these two generations forever keep the sibling banter alive.


This article originally appeared in June.

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Optical illusion that looks like a person with two dogs has people totally tripping

It takes a while to see it, but there are not two dogs in the photo.

@Rainmaker1973/X, @farhadge/X

Where is the third dog in this photo?

Optical illusions are wild. The way our brains perceive what our eyes see can be way off base, even when we're sure about what we're seeing. Plenty of famous optical illusions have been created purposefully, from the Ames window that appears to be moving back and forth when it's actually rotating 360 degrees to the spiral image that makes Van Gogh's "Starry Night" look like it's moving.

But sometimes optical illusions happen by accident. Those ones are even more fun because we know they aren't a result of someone trying to trick our brains. Our brains do the tricking all by themselves.

The popular Massimo account on X shared a photo that appears to be a person and two dogs in the snow. The more you look at it, the more you see just that—two dogs and someone who is presumably their owner.

But there are not two dogs in this picture:

There are three dogs in this picture. Can you see the third?

Full confession time: I didn't see it at first. Not even when someone explained that the "human" is actually a dog. My brain couldn't see anything but a person with two legs, dressed all in black, with a furry hat and some kind of furry stole or jacket. My brain definitely did not see a black poodle, which is what the person actually is.

Are you looking at the photo and trying to see it, totally frustrated?

The big hint is that the poodle is looking toward the camera. The "hat" on the "person" is the poodle's poofy tail, and the "scarf/stole" is the poodle's head.

Once you see it, it fairly clear, but for many of us, our brains did not process it until it was explicitly drawn out.

As one person explained, the black fur hides the contours and shadows, so all our brains take in is the outline, which looks very much like a person facing away from us.

People's reactions to the optical illusion were hilarious.

One person wrote, "10 years later: I still see two dogs and a man."

Another person wrote, "I agree with ChatGPT :)" and shared a screenshot of the infamous AI chatbot describing the photo as having a person in the foreground. Even when asked, "Could the 'person' be another dog?" ChatGPT said it's possible, but not likely. Ha.

One reason we love optical illusions is that they remind us just how very human we are. Unlike a machine that takes in and spits out data, our brains perceive and interpret what our senses bring in—a quality that has helped us through our evolution. But the way our brains piece things together isn't perfect. Even ChatGPT's response is merely a reflection of our human imperfections at perception being mirrored back at us.

Sure is fun to play with how our brains work, though.


This article originally appeared in January.

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3-month-old baby shocks mom and sister by repeating full sentences. It may have a name.

"He is a baby genius start showing him math problems."

Photo credit: Canva

3-month-old baby repeats full sentences shocking mom

Babies can't talk. This isn't something that needs to be studied and researched, it's a pretty common fact that humans have. The reasons babies cry is because they can't talk to tell us what they need, at least that's what the general understanding has been for centuries. But what if some babies could talk and we simply haven't been exposed to them because the world is so big?

Thanks to social media, the world has gotten a whole lot smaller when it comes to being able to take a peek into other people's lives. This means we get to be exposed to things that may otherwise gone unseen. Mekeia, a mom of two recently uploaded a video of her 3-month-old son talking. Not the cute baby babble that we like to call talking, but repeating actual short sentences.

Mekeia was recording her daughter playing with the baby when they captured the moment on video.

The little girl holds the baby's face and says, "say I am two months," before Mekeia corrects her, "say I am three months," the little girl pipes back up. Clearly the baby was trying to join in the conversation with what was expected to be baby babble when the mom instructed the older child to let the baby have a chance to "talk." It was then that the baby shocked everyone by sounding like he repeated the same phrase.

The two are visibly and audibly shocked not wanting to believe the baby actually repeats what the other child says. Mekeia is on the phone with a friend when the entire thing happens. Presumably thinking this is a fluke, the mom attempts to put the phone up to the baby's mouth. When he just babbles, she tells the baby, "say hey Bam." Nothing. Just more babble and drool.

Just when you think your ears were playing tricks on you, the baby does it again when the mom tells him to say, "hey Quintin." Clearly the baby still sounds like a baby but you can clearly hear him repeating the sound and cadence of the words so much so that it sounds like he's fully saying the words. His older sister is overwhelmed with emotion and begins to cry while Mekeia seems to be so shocked that she begins to laugh while the person on the phone is just stunned into confusion.

@foxondemand

Watch until the end 😱omg🥹🥰!!

♬ original sound - Mekeia 💖


People in the comments were eager to jump in with exclaiming the baby is a genius with one person writing, "he is a baby genius start showing him math problems."

Another person jokes, "next thing he's writing emails and making appointments."

"Talking so clear would scare me sooo bad he's so intelligent," someone writes.

Others explain the phenomenon with a condition called echolalia. "Echolalia is a normal part of child development. As children learn to talk and understand words, they imitate, copy or echo the sounds and words they hear. Over time, a child usually learns to talk by connecting new words together to make unique little phrases or sentences,” according to Speech and Language Advisor Claire Smith when interviewed by the BBC.

While echolalia can be a sign of autism, that's not always the case. Many kids grow out of it by the age of three and continue their typical development.


This article originally appeared in August.

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Democracy

Man figured out how to beat squatters at their own game. Now he helps others do it.

"If they can take a house, I can take a house."

Photo by Andrea Piacquadio/Pexels

When people move in and refuse to move out, what do you do?


Squatters' rights laws are some of the most bizarrely misused legal realities we have, and something no one seems to have a good answer for. Most of us have heard stories of someone moving into a vacant home and just living there, without anyone's permission and without paying rent, and somehow this is a legal question mark until the courts sort it out.

According to The National Desk, squatters' rights are a carryover from British property law and were created to ensure that abandoned property could be used and to protect occupants from being kicked out without proper notice. It should go without saying that squatter law isn't meant to allow someone to just take over someone else's property, but sometimes that's exactly what happens.

It's what happend to Flash Shelton's mother when she put her house up for rent after her husband passed away. A woman contacted her with interest in the property, only she wanted to do repairs and look after the home instead of paying rent. Before anyone knew it, she had furniture delivered (which she later said was accidental) and set up camp, despite Shelton's mom not agreeing to the arrangement.

But since the woman had expressed her intention and already moved in, the matter was out of police hands, as Shelton found out when he tried to contact the local sheriff.

“They said, ‘I’m sorry but we can’t enter the house, and it looks like they’re living there, so you need to go through the courts',” he shared in a YouTube video.

Shelton rightfully didn't want the expense of a court battle, so he took matters into his own hands—not with violence, but with logic. He had his mom lease the home to him, and then told the squatter that she had to move everything out because he was moving things in.

“If they can take a house, I can take a house," he said.

He was calm and clear about her having to get everything out within the day or he would have people come and take it, and thankfully, she didn't put up a big fight.

That experience made him realize how squatter law can be abused, but that there's a faster system for removing a squatter than to go through the court system. If a squatter can move in and force a homeowner to take them to court to prove they are living there illegally, then he could simply move in alongside the squatter, putting the squatter in the position of having to take the homeowner to court instead.

"The legal process is so slow, and at some point when they're in there, you're going to feel like they have more rights than you do and that's how you're going to be treated. So even though you it's your house and you're paying the mortgage or whatever, at some point squatters feel like they have more rights than you, so they don't have an incentive to leave until a judge tells them to, until they're actually ordered to, and that could take months."

After successfully removing the squatters in his mother's house, Shelton has been tackling similar squatter situations for other homeowners in California, earning him the nickname "The Squatter Hunter."

"All I'm doing is becoming a squatter and flipping this process on them," Shelton told CBS News. "I figured if they could take a house, I could take a house."

According to CBS, he's successfully removed a dozen squatters in the past year. ""I'm not going in and I'm not hurting anyone," he said. "I'm not kicking them out, I'm not throwing them out." He's literally just moving in himself, setting up cameras, and then creating small annoyances until the squatters get fed up enough to move out.

California isn't the only state that has seen issues with squatters. There are squatter stories from all over the U.S. of people moving into a property and refusing to leave without a court order, tying owners up in lengthy, expensive legal battles.

Shelton even has a Change.org petition to try to get squatter laws changed to "make squatting in residential maintained homes criminal." Making squatting illegal "will shift the burden of proof onto the squatter and make the crime punishable with restitution an option for damages," the the petition states.

Watch Shelton share his personal story:

This article originally appeared in April.

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