New research shows that children who grow up near nature become happier adults

Being in nature is soothing to the soul. The air is cleaner. The night sky is darker so it’s easier to sleep. And there’s something calming about being in the natural harmony of the wilderness. But, on the other hand, it’s tough to find a place to get good sushi or an exciting night club.…

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ArrayPhoto credit: via Irudayam / Flickr

Being in nature is soothing to the soul. The air is cleaner. The night sky is darker so it’s easier to sleep. And there’s something calming about being in the natural harmony of the wilderness.

But, on the other hand, it’s tough to find a place to get good sushi or an exciting night club.

This begs the age-old question: is it better to live in the city or the country? The answer has always been, “depends on who you ask,” but a new study out of Denmark says that being near dense vegetation is clearly better for one’s mental health.

A nationwide study of over 900,000 people published in PNAS showed that “children who grew up with the lowest levels of green space had up to 55% higher risk of developing a psychiatric disorder independent from effects of other known risk factors.”


The researchers came to this determination after studying robust population data taken by the Danish government.

“If we were talking about a new medicine that had this kind of effect the buzz would be huge,” Kelly Lambert, a neuroscientist at the University of Richmond, told NPR.

Researchers looked at satellite images of to see how much green space surrounded the areas where the participants grew up.

According to the study, the participants didn’t necessarily have to live in a forest to enjoy the mental health benefits, just reside within a reasonable drive from wilderness areas, public parks, and urban green spaces.

Related: Pro-choicer gets called a ‘murderer,’ responds with questions about what it means to be ‘pro-life.’

People of higher socioeconomic status tend to live in areas with greater access to parks and have the means to shield their children from some mental disorders. So the researchers factored in income data as well to weigh the relative contribution of green space against socioeconomic backgrounds.

The researchers also found that the results were “dosage dependent.” The greater percentage of someone’s childhood spent near green spaces, the less the chance of developing mental illness.

Lambert suggests that access to green spaces may be good for our mental health because humans evolved surrounded nature.

While the findings suggest the power that comes from human beings in their natural environment, Kristine Engemann, the biologist who led the study is cautious about saying that access to green spaces causes positive mental health outcomes.

“It’s purely correlational, so we can’t definitively say that growing up near green space reduces risk of mental illness,” Engemann told NPR.

Further research is needed to get to the root causes of how topography affects mental health. But the article makes a great argument for more parks being built in urban areas.

  • Her groundbreaking sea floor discovery was dismissed as ‘girl talk.’ But science proved her right.
    An image f Marie Tharp with her elbow on an oceanic mapPhoto credit: Lamont-Doherty Earth Observatory
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    Her groundbreaking sea floor discovery was dismissed as ‘girl talk.’ But science proved her right.

    Marie Tharp changed how humanity sees the planet. Yet so many have never heard her name.

    Most of us learn about the Earth’s shifting tectonic plates by middle school. But in Marie Tharp’s time, this fact we now take for granted was a groundbreaking, radical concept…and one that had to overcome gender bias.

    In 1957, Tharp, a geologist and oceanographic cartographer, and her colleague Bruce Heezenhad published the first map of the Atlantic. Tharp endured considerable challenges due to sexism. For one thing, women weren’t allowed on the ships that collected the seafloor data to make the maps in the first place. So Tharp spent hours at a desk translating thousands of sonar readings from those ships that wouldn’t take her.

    Her hand-drawn maps eventually revealed that the seafloor was covered in canyons, ridges, and mountains…all of which suggested that at some point, pieces of the Earth had moved.

    This was important because the previous mainstream view was that the ocean floor was flat and motionless. However, Tharp’s findings supported Alfred Wegener highly controversial “continental drift theory,” which first suggested that the present-day continents once fit together as a supercontinent, aka Pangaea, in 1912.

    Of course, we now know Pangea to be a real thing, but not long ago, this idea was considered heresy. And so when Tharp reintroduced it through her findings, Heezen dismissed it as “girl talk,” or an “old wives’ tale,” depending on where you look. Either way, the context reads pretty clear.

    Heezen would come around in time, but the duo would also have to sway the rest of the scientific community. Keep in mind, the supposed peaks and valleys were, at this point, only conjecture. However, in 1959, when Jacques Cousteau, determined to prove Tharp wrong, lowered his underwater camera with 16-millimeter film into the middle of the ocean, and a valley was indeed there…it became fairly evident that she was right.

    Though it was primarily Tharp’s groundbreaking findings that paved the way for our new understanding, she was still seen as “merely a technician,” and therefore Heezen took the lion’s share of the credit as they continued their work together, which eventually included mapping all of the world’s oceans. She wouldn’t even be allowed to set foot on a research cruise until 1968.

    But proving her tenacity, Tharp was nevertheless able to make a life-changing scientific contribution in spite of it all, a) because she was resourceful, and b) because she believed in the importance of her work. As she herself said,

    “I had a blank canvas to fill with extraordinary possibilities, a fascinating jigsaw puzzle to piece together. It was a once-in-a-lifetime — a once-in-the-history-of-the-world-opportunity for anyone, but especially for a woman in the 1940s.”

    In time, Tharp would get some recognition. In 1997, the Library of Congress named her one of the greatest cartographers of the 20th century. And in 2023, National Geographic awarded her the highly prestigious Hubbard Medal.

    And of course, every time we look at a map, we witness a bit of her signature. Still, one can’t help but wonder what other women from history secretly shaped the way we view the world today, and the pains they took to do so.

  • Neil deGrasse Tyson explains the impossible concept of ‘nothing’ in less than one minute
    Neil deGrasse Tyson at CSI Con 2022.Photo credit: via Karl Withakay/Wikimedia Commons

    One of the greatest philosophical, scientific, and religious questions that humankind has ever asked is: Why is there something instead of nothing? Why do we have a universe, or possibly multiple universes, when there could just be a big nothing and no one or thing to contemplate its lack of existence?

    To add another layer to this incredible mystery is the question of what nothing is. We know what something is; we see matter around us and can measure energy, but as humans, we’ve never been able to experience true nothingness, so it feels impossible to comprehend. That’s why we should all be thankful for astrophysicist and science communicator, Neil deGrasse Tyson. He created a video that takes us step by step through how we get from something to nothing in under a minute.


    Step 1: Life on Earth

    “Is this nothing?” Tyson asks, waving his hand. “No, it’s air. Let’s go with there’s no air.”

    Step 2: Outside our atmosphere

    “No, there’s still a few particles floating there between the planets, so it’s not quite nothing.”

    Step 3: Space

    “How about between the stars? Less, but there’s still something there. Between the galaxies? Less, but there’s still just a few particles per cubic meter that lurk there.”

    Step 4: Pure vacuum of space

    “There’s something called virtual particles that pop in and out of existence. Quantum physics tells us this. So there’s still something there.”

    Step 5: True nothing

    “To get a true nothing, you have to go where there’s not even space or time. But if laws of physics still apply, then there’s still something there. So you have to go to not only where there’s no matter and no space time, but where there are no laws at all. Behold, a true nothing.”

    Tyson explained his concept of “nothing” in a StarTalk episode with his co-host, Chuck Nice.

    If that explanation didn’t quite pull you into the realm of understanding, Sean Carroll, a theoretical physicist and cosmologist, did his best to describe it to Vice.

    “In quantum field theory, which we think is our best way of describing the universe that we have right now, space is kind of interesting,” Carroll explained. “Even if it’s as empty as it can be, there are still quantum mechanical [properties]—they’re just in a zero-energy state not doing anything. But you could probe the vacuum, as particle physics does, and discover its properties.

    “Empty space is a very interesting place in modern physics; there’s a lot going on, whereas, if it were nothing, there would be nothing going on,” he said. “It’s probably better to think of nothing as the absence of even space and time, rather than space and time without anything in them.”

    Now that you probably have a good idea of what nothing is, we’re back to the big question: Why is there something instead of nothing? Tyson and Carroll discuss the biggest question in the universe in the section below.

  • 46 years ago, Carl Sagan beautifully explained the fourth dimension using a sliced apple
    Carl Sagan used a sliced apple to perfectly explain the fourth dimension.Photo credit: via Carl Sagan Planetary Society/Wikimedia Commons and John Finkelstein/Pexels

    How do you explain the concept of a fourth dimension to humans who are only able to see in 3-D? Physical space can be measured in height, width, and depth. What is there beyond or in addition to those three dimensions? How can we understand the existence of a dimension we cannot picture?

    Thankfully, we had Carl Sagan, one of the greatest science communicators of his time, to help us visualize a fourth dimension. Perhaps best known for his research into extraterrestrial life, Sagan was among the first to demonstrate that life could have existed on Mars. Sagan possessed a unique gift for demystifying complex scientific concepts, making them accessible and thrilling for the general public. He could be described as a scientific Mister Rogers: friendly, a wonderful storyteller, and able to distill difficult lessons into their simplest form.

    In 1980, on Episode 10 of the groundbreaking PBS show “Cosmos,” Sagan embarked on a mission to explain the seemingly impossible fourth dimension. It’s a hypnotic, entertaining, and incredibly enlightening watch:

    Many of us have commonly heard of time being considered the fourth dimension. That’s not so hard to understand — in order to locate an object in the universe, you’d need to know three dimensions of its spatial location and also the time during which it exists.

    But there is also a more theoretical and harder to understand place, where all four dimensions are spatial. It is nearly impossible for any of us to comprehend… without the help of a gifted teacher.

    What’s excellent about Sagan’s explanation is that he uses simple and relatable objects: an apple and a Tesseract, or hypercube.

    “In discussing the large-scale structure of the cosmos, astronomers sometimes say that space is curved. Or that the universe is finite but unbound,” Sagan begins. “Whatever are they talking about?”

    Yeah, this guy gets it.

    Sagan then explains how a two-dimensional being living in a flat world would perceive a three-dimensional object like an apple.

    apple slices, apple, carl sagan, dimensions, 4th dimension, 3-dimensional
    Sagan used an apple to help explain the fourth dimension. Photo credit: Canva

    “Imagine we live in this ‘Flatland’/2-D plane with no concept of ‘up’ or ‘down.’ Then along comes a 3-D object like an apple. We do not even notice it until it crosses our plane of existence — and even then, we have no idea what the apple is,” Sagan explains. “We see only a fragment as it passes through our plane. There is no way we can comprehend the 3-D quality/dimension of the apple, because it is beyond our understanding. We only have the evidence of what has passed through our plane.”

    To further demonstrate, Sagan stamps the apple into an inkpad and then onto the surface in front of him, which represents Flatland and all of its inhabitants. Inside Flatland, the apple exists only as its points of contact on the paper; or four small dots. He adds that as the apple passes through the 2-dimensional Flatland, its cross-section changes. So someone living in that plane of existence would experience the apple as an ever-shifting and rearranging set of shapes or objects. Wild!

    Sagan then related this two-dimensional experience of the third dimension to how we might try to understand the fourth. To do so, he used the Tesseract, a four-dimensional cube, to demonstrate how difficult it is for us to perceive or visualize dimensions beyond our own three.

    tesseract, cube, 4-dimensional, 3-dimensional, hypercube
    A hypercube is used tou00a0representu00a0four dimensions. Photo credit: Canva

    Sagan explains that the tesseract is a cube expanded into a 4th dimension, but “I cannot show you a tesseract because I, and you, are trapped in three dimensions.” But what he can do is show us a 3-dimensional rendering of one. Just like a cube can be drawn and approximated (or cast a shadow) onto a piece of paper, a 4-dimensional tesseract can be imperfectly represented in 3-dimensional space. Still following?

    At this point, Sagan is asking the viewer to expand their minds to understand the fourth dimension metaphorically. Though we cannot see it or even properly visualize it, that doesn’t mean that the things we can see can’t offer clues and lessons about the fourth dimension.

    carl sagan, science, cosmos, scientist, 4-dimensional
    Carl Sagan gave many popular lectures. Kenneth C. Zirkel/Wikimedia Commons

    Studying 4-dimensional space can help us understand the universe around us. Just because we see and experience only three dimensions doesn’t mean that’s all that exists. It’s critical for physicists and mathematicians to be able to understand and map these theoretical spaces to better comprehend things we otherwise can not explain. Remember the ever-changing, rearranging set of shapes as the apple passes through Flatland?

    Sagan’s demonstration of the fourth dimension isn’t just a wonderful explanation of a scientific idea that many of us find difficult to comprehend; it’s also a great example of how to teach complex ideas by combining clear explanations, everyday concepts everyone can understand, and brilliant storytelling.

    You can check out more of Carl Sagan’s brilliant scientific explanations on the carlsagan.com YouTube channel.

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

  • ‘Florida girl’ documents darkest day of the year in North Pole, Alaska, and people have questions
    December 21 is the darkest day of the year in the Northern Hemisphere. One woman documented just how dark it really is.Photo credit: Canva

    Does the number 23.5 mean anything to you? It sounds random, but it’s a relatively famous number that refers to the degree Earth tilts on its axis as it rotates around the sun. The fact that the Earth is not standing “straight up,” so to speak, is responsible for a number of fascinating phenomenon in how we experience the sun’s light and warmth.

    When our respective portions of the Earth are tilted toward the sun, we receive more heat and longer daylight hours. But some areas of the globe are situated in such a way that Earth’s tilt can cause much more dramatic swings. The Arctic, famously, has a “Midnight Sun” where the sun does not fully set for around two months in the summer. The effect can also be experienced to a lesser degree in lower portions of the Northern hemisphere, including Alaska.

    One woman recently documented her experience living through North Pole, Alaska’s “darkest day of the year,” which falls on December 21.

    The Winter Solstice has the Northern hemisphere away from the sun, so North Pole, Alaska (not the true North Pole, as in, where Santa Claus lives) receives only a small window of sunlight.

    alaska, daylight, sunlight, midnight sun, darkness, winter solstice, snow, freezing, cold, winter
    Though it's not the true North Pole, North Pole, Alaska has fun with the whole Santa thing. By Dylan Avery/Wikimedia Commons

    Emily, who goes by FBX Foodie on TikTok, shared a video on December 21, 2025 where she begins by standing outside in the pitch black at 7:30 a.m., or about the time the sun should be risen or well on its way in much of the rest of the world.

    The self-described “Florida girl,” who recently moved to Alaska with her husband who is stationed there on military duty, has been sharing her journey in acclimating to a very different climate. And that’s putting it mildly. The couple is currently a year into a four-year assignment.

    Not only is the sky pitch black, but the temperatures are frigid. In the morning, when she began filming, the temperature was around -40 degrees Fahrenheit. By 8:40, nothing has changed. Everything is still dark and extremely cold.

    About an hour later, a crack of light is just barely visible. “This is kind of what I call blue hour,” she says. “It’s not pitch black outside but it’s not necessarily daylight either. We still have about an hour and a half until sunrise.”

    By 10:36, the sun is creeping over the horizon, like the early dawn hours anywhere else. Just a few short hours later at 1:25 p.m., the sun is visible in the sky!

    But just as soon as it appears, hovering low and orange like a sunset, it’s already on its way down. Shortly before 5 p.m., the day is “over” and pitch black returns.

    @fbxfoodie

    Happy Winter Solstice! Glad we will be slowly but surely gaining more daylight ❤️ #fairbanks #northpole #alaska #alaskalife #lifeinalaska

    ♬ original sound – FBX Foodie | fairbanks, ak

    Though many people have heard of Alaska’s strange solstices, over five million viewers were stunned to see just how short the day really was in North Pole, Alaska.

    “i would be so depressed,” one commenter wrote.

    “I would have absolutely zero motivation,” added another.

    “Why are you outside?” someone asked, justly.

    “I just wouldn’t get out of bed. A heated blanket would hate to see me coming,” one person joked.

    Other viewers noted that the conditions seemed prime for sleep and relaxation. If you’re someone who needs complete darkness for a good night’s sleep, you’d love it in North Pole, Alaska.

    In a series of follow-up videos, Emily answered some of the many questions she got after her video went massively viral.


    @fbxfoodie

    Replying to @Silklight24 answering a few common questions from my last videos, like why do I live here, how do I get around, how warm it gets, etc.! #alaskalife #fairbanks #northpole #alaska #lifeinalaska

    ♬ original sound – FBX Foodie | fairbanks, ak


    “Why would anyone want to live there?” Emily says that, though she doesn’t exactly live there by choice herself, a lot of people who don’t mind the cold really love Alaska’s wide open spaces and small communities, along with virtually no traffic and a much slower way of life. You have to put up with some wonky winters and maybe a little too much sunlight in the summer, but for many, it’s well worth it. There’s also a lot of natural beauty, with Alaska being one of the best places in the world to see the Northern Lights and home to some of the best hiking and adventuring around.

    “How do you keep your house warm?” Emily shares that her house has a normal thermostat like you’d find anywhere else, but that her home is heated with oil instead of natural gas. “It’s about $3.75 to $4 a gallon and we’re burning through about six gallons a day in this really extreme temperature.”

    “Does society function normally in the dark?” The short answer? Yes. “We don’t work around the sun, which would be pretty limiting in the winter.” Emily says most businesses and schools are still open even in the extreme cold and snow. She says school didn’t even close when her town got over 10 inches of snow overnight.

    It’s really hard for people in the “lower 48” to imagine what daily life must be like during the winter with extremely limited daylight hours. People who live in Alaska, of course, have found ways to adapt to the extreme conditions.

    Some parts of Alaska are in near-compete darkness for about two months in the winter, while the sun rarely and barely sets during the summer.

    For starters, buildings and cities are designed to fit the extreme conditions. Insulation is a top-priority so residents can survive -40 degree temperatures, and pipes are buried and insulated as much as possible to keep from freezing. Air conditioners, strangely, are key, too: Even though Alaskan summers don’t get that hot, the heavily-insulated buildings and the low angle of the sun can heat up indoor environments in a hurry.

    Blackout curtains are a must in the summer for sleeping, but otherwise, Alaskan-based climatologist Dr. Brian Brettschneider tells Fox Weather that residents absolutely love the constant sunlight. “Imagine going fishing at midnight, or playing basketball at 11 p.m., or a hiking traverse through the middle of the night? The only complaints you’ll hear are about it not lasting long enough.”

    The winter is more challenging. Vitamin D supplements and sun lamps help some residents keep their spirits and energy up in the darkness, but Alaskans report that winter is often a time for slower living and “hibernation.”

    Living in northern Alaska might not be everyone’s cup of tea, but whether you’re born there, stationed there, or decide to move there by choice, there’s a lot of adventure and beauty to be found in the frigid environment.

  • Despondent weatherman goes off-script on live TV to explain why he ‘can’t’ forecast anymore

    I will admit that I hardly ever watch the news on television, especially not for the weather. It’s just so much easier to pick up my phone and check Google or The Weather Channel. I just want to know how warm it’s going to be or how likely it is to rain. These days, I can find that out in about 10 seconds and go about my day.

    But when there’s potential danger—hurricanes, storms that might knock out the power of topple over trees, tornado warnings, or threats of ice and snow—my trusty local meteorologist or weatherman is always there. All of that said, I’ve never once considered that I might not be able to get my weather forecast from either source, at least not accurately. It’s 2025—our weather modeling should be better than ever, state of the art, right?

    John Morales, a meteorologist and hurricane specialist with NBC6 in South Florida, was reporting on an upcoming storm when he suddenly shifted gears, right in the middle of the broadcast.


    weatherman, weather, meteorologist, news, tv news, news anchor, viral videos, trump, doge, government
    Meteorologists play an important role in our communities. Giphy

    Morales explains that in his 34 years of presenting the weather, he’s always been able to confidently tell his viewers when a hurricane might hit, or when it might turn away. He’s always been able to stand behind his data, modeling, and forecast in order to help protect the people of South Florida.

    “I am here to tell you that I am not sure I can do that this year.”

    Why? “Because of the cuts, the gutting, the sledgehammer attack on science in general.”

    Morales then pulled up a graphic instead of his usual weather map. It laid out some stark realities about severe understaffing of the National Weather Service, and the National Oceanic and Atmospheric Administration. Between brutal layoffs, employees accepting the recent DOGE buyout, and straight-up resignations, the agencies responsible for collecting weather data have lost hundreds and hundreds of valuable experts.

    weatherman, weather, meteorologist, news, tv news, news anchor, viral videos, trump, doge, government
    A weather forecaster is only as good as their data. Photo by Stephen Scarboro on Unsplash

    He also explained that due to federal government budget cuts, there’s been a sizable decrease in weather balloon launches across the country. Weather balloons are instruments that take crucial measurements of the upper atmosphere and send data that helps with forecasting. With less data available, and lower quality data, Morales say that “the quality of forecasts is becoming degraded.”

    That’s a pretty scary thought, especially in a place like South Florida. What do you do when your local meteorologist can’t predict what a powerful hurricane will do next?

    “This is a multi-generational impact on science in this country,” Morales warns.

    Watch his passionate plea here:

    Almost nine million people viewed the powerful clip on X. It was reshared over 26,000 times. Morales’ message is definitely getting the attention it deserves.

    It’s not just the National Weather Service that’s bleeding. In the name of efficiency, The White House has slashed budgets at the CDC, the National Institutes of Health, and more. Trimming the federal budget sounds well and good until you realize that we won’t be making any major cancer breakthroughs any time soon without funding the research. And we won’t be able to protect people from hurricanes and tornadoes without complete weather data.

    (And yes, even the Weather app on your iPhone needs a database to pull from.)

    Meanwhile, we’re spending $1 trillion—yes, trillion— per year on our military. This is the anti-science, anti-expert sentiment Morales is talking about. It’s been building for years and is just now coming to a head in the worst way.

    We still need meteorologists and weather experts like Morales. We still need scientists.

    The impact of these cuts is already being felt as hurricane and flooding season hits. John Morales continues to advocate for a science-based approach to weather and public safety. And he’s not alone.


    ChatGPT can pull weather data from Google and tell you if there’s going to be a thunderstorm, but can it tell you when the data behind that forecast is incomplete or unreliable? That’s the reality we’re facing right now, and we might not know the forecast isn’t reliable until it’s too late in some cases.

    TV weathermen who live in our communities and can put crucial context behind the weather and help keep us safe still matter. Not only that, but they are ambassadors for science, and they still have a big platform in many communities around the country. Morales is making sure he makes the most of his.

    This article originally appeared in June. It has been updated.


  • 45 years ago, Carl Sagan beautifully explained the fourth dimension with just an apple
    Carl Sagan used a sliced apple to perfectly explain the fourth dimension.Photo credit: via Carl Sagan Planetary Society/Wikimedia Commons and John Finkelstein/Pexels

    The concept of the fourth dimension seems beyond human comprehension. As three-dimensional beings, we are unable to see beyond a physical object’s height, width and depth. What else could there be? Even if you understand the concept, it is almost impossible to picture it in your mind, which is bound by the limits and realities of the physical world around us.

    Enter Carl Sagan, revered as one of the greatest science communicators of his time. Perhaps best known for his research into extraterrestrial life, he was one of the first people to demonstrate that life could have existed on Mars. Sagan possessed a unique gift for demystifying complex scientific concepts, making them accessible and thrilling for the general public. If you never had the pleasure of watching him on television, you could imagine him as something of a Scientific Mister Rogers. Friendly, a wonderful storyteller, and always able to distill difficult lessons into their simplest form.

    In 1980, on Episode 10 of the groundbreaking PBS show “Cosmos,” Sagan embarked on a mission to explain the seemingly impossible fourth dimension.


    carl sagan, cosmos ,4th dimension, 3-D, 4-D, 2-D, physics, theoretical physics, math, science, space, spacetime, einstein
    A great communicator and handsome, to boot. Giphy

    Many of us have commonly heard of time being considered the fourth dimension. That’s not so hard to understand — in order to locate an object in the universe, you’d need to know three dimensions of its spatial location and also the time during which it exists.

    But there is also a more theoretical and harder to understand place, where all four dimensions are spatial. It is nearly impossible for any of us to comprehend… without the help of a gifted teacher.

    What’s excellent about Sagan’s explanation is that he uses simple and relatable objects: an apple and a Tesseract, or a hypercube.

    carl sagan, cosmos ,4th dimension, 3-D, 4-D, 2-D, physics, theoretical physics, math, science, space, spacetime, einstein
    Sagan explains that if an apple existed in a 2-dimensional space, anyone living in this Giphy

    “In discussing the large scale structure of the cosmos, astronomers sometimes say that space is curved. Or that the universe is finite but unbound,” Sagan begins. “Whatever are they talking about?”

    Yeah, this guy gets it.

    Sagan then goes on to explain how a two-dimensional being living in a flat world would perceive a three-dimensional object like an apple.

    Watch his full explanation here. It’s hypnotic and entertaining and incredibly enlightening.


    “Imagine we live in this ‘Fllatland’/2-D plane with no concept of ‘up’ or ‘down.’ Then along comes a 3-D object like an apple. We do not even notice it until it crosses our plane of existence — and even then, we have no idea what the apple is,” Sagan explains. “We see only a fragment as it passes through our plane. There is no way we can comprehend the 3-D quality/dimension of the apple, because it is more than we can understand. We only have the evidence of what has passed through our plane.”

    To further demonstrate, Sagan stamps the apple into an inkpad and then onto the surface in front of him, which represents Flatland and all of its inhabitants. Inside Flatland, the apple exists only as its points of contact on the paper; or four small dots. He adds that as the apple passes through the 2-dimensional Flatland, its cross-section changes. So someone living in that plane of existence would experience the apple as an ever-shifting and rearranging set of shapes or objects. Wild!

    Sagan then related this two-dimensional experience of the third dimension to how we might try to understand the fourth. To do so, he used the Tesseract, a four-dimensional cube, to demonstrate how difficult it is for us to perceive or visualize dimensions beyond our own three.

    carl sagan, cosmos ,4th dimension, 3-D, 4-D, 2-D, physics, theoretical physics, math, science, space, spacetime, einstein
    A tesseract can not exist in 3-dimensional space, but it can be approximated the same way a cube can be drawn on paper. Giphy

    Sagan explains that the tesseract is a cube expanded into a 4th dimension, but “I cannot show you a tesseract because I, and you, are trapped in three dimensions.” But what he can do is show us a 3-dimensional rendering of one. Just like a cube can be drawn and approximated (or cast a shadow) onto a piece of paper, a 4-dimensional tesseract can be imperfectly represented in 3-dimensional space. Still following?

    At this point, Sagan is asking the viewer to expand their minds to understand the fourth dimension metaphorically. Though we cannot see it or even properly visualize it, that doesn’t mean that the things we can see can’t offer clues and lessons about the fourth dimension.

    Studying 4-dimensional space can help in our understanding of the universe around us. Just because we see and experience only three dimensions doesn’t mean that’s all that exists. It’s critical for physicists and mathematicians to be able to understand and map these theoretical spaces to better comprehend things we otherwise can not explain. Remember the ever-changing, rearranging set of shapes as the apple passes through Flatland?

    Sagan’s demonstration of the fourth dimension isn’t just a wonderful explanation of a scientific idea that many of us find difficult to comprehend; it’s also a great example of how to teach complex ideas by combining clear explanations, everyday concepts everyone can understand, and brilliant storytelling.

    This article originally appeared last year. It has been updated.

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