Meet “impossibagel,” a physically impossible bagel that mathematicians use to resolve intricate geometry problems. But impossibagel—and other “impossible objects” in mathematics—is notoriously difficult to replicate, and researchers haven’t been able to fully tap into their mathematical potential. That may no longer be a problem, thanks to a new tool.
On Monday, researchers at MIT’s Computer Science and Artificial Intelligence Laboratory (CSAIL) announced “Meschers,” software capable of visualizing an intricate, 2.5-dimensional representation of impossible objects. In addition to creating aesthetically quirky objects, Meschers could eventually assist in research across geometry, thermodynamics, and even art and architecture, according to the researchers. The paper, set for publication in ACM Transactions on Graphics, will be presented at the SIGGRAPH Conference next week.
“Impossible objects are constructions which cannot exist in real life and instead only exist in our perception,” Ana Dodik, study lead author and PhD student at MIT, told Gizmodo in an email. “They are interesting because our visual system can make sense of them to some extent, but they cannot exist in real life without bending or cutting them.”
Meschers (an amalgam of “meshes” and the artist M.C. Escher) offers a way to represent impossible shapes that is “consistent with our perception and that lets us do familiar ‘3D’ processing operations on them, despite them not being 3D,” she explained.
For the program, Dodik and her colleagues wove together calculus and certain aspects of the human visual system. For instance, when looking at an impossible object like the Penrose Triangle, our eyes search for something called “local consistency,” or, simply, the parts of this inconsistent shape that “make sense” to us. For the Penrose Triangle, those parts are its three L-shaped corners. Separately, these sections make sense, but when we try to connect them as a globally consistent shape, things don’t quite add up.
As such, recreating impossible objects in real life requires the object to be cut or bent, Dodik said. For computational purposes, this gave rise to issues that potentially interfered with “geometry operations, such as distance computation,” according to the researchers. Meschers addresses this complication by significantly relaxing the consistency requirement on the global scale. Instead, the program focuses on replicating the locally consistent subsections of the object.
The program also supports different lighting conditions, which can influence how well the impossible depths of these objects are represented in computational renders. The resulting shape, according to the paper, is sufficient for “a wide variety of classic geometry processing algorithms…in a way that aligns with our perceptual intuitions.”
For instance, the impossibagel would be an ideal structure for geometry researchers calculating the distance between two points on an incomprehensible surface. Alternatively, it could be used to determine how heat spreads over curved surfaces. Meschers also allows the user to inversely render an impossible object, such as deforming a torus (donut-like shape) into a Penrose Triangle, making it easier for artists or architects to play around with these unusual shapes for their own purposes.
Perhaps most importantly, it’s a way to do math that’s both fun and insightful. And it’s also great for decorating coffee mugs, as study senior author Justin Solomon shared with Gizmodo. “Our research group at MIT is the Geometric Data Processing (GDP) group, so I had this image printed on coffee mugs for all our team members,” he said. “It’s a perfect logo for our group!”
Meschers is a publicly available resource, and the code will be released shortly, the researchers say. So yes, you’ll soon be able to make an impossibagel for yourself—not to eat, but to stimulate the mathematical part of your brain!
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#Meet #Meschers #MITs #Tool #Building #Paradoxical #Digital #Objects
![‘Lee Cronin’s The Mummy’ Originally Had a Much Bleaker Ending
Lee Cronin’s The Mummy wasn’t our favorite mummy movie, but it did have some recommendable qualities, including its high levels of gruesome gore. We also approved of the ending, which offered a satisfying twist to the agony that came before. And while The Mummy‘s test screenings were targeted by some since-debunked negative rumors (look, James Wan just wanted more snacks, that’s all!), apparently those same early showings helped writer-director Cronin figure out that all-important final note for his film. Star Jack Reynor talked about the original ending and the changes that were made, and we’ll add one of these in case you haven’t yet seen Lee Cronin’s The Mummy. At the end of Lee Cronin’s The Mummy, the characters have all realized that young Katie is possessed by a ferocious demon. She was kidnapped years earlier by her friend’s mother, a character the film calls “the Magician,” for the sole purpose of becoming the next containment vessel for this demon over a period of years.
The sarcophagus and wrappings covered in ancient writing she’s entombed in are meant to trap the demon as part of an obligation upheld by the Magician’s family for generations upon generations. The demon starts to escape when the sarcophagus is moved out of necessity from the Magician’s farm. Instead of relocating safely, the sarcophagus breaks open in a plane crash, and Katie—still alive, albeit mummified and barely clinging to her human soul—is sent from Egypt to New Mexico to reunite with her surprised and thankful mother, father, and two siblings.
The bulk of Lee Cronin’s The Mummy follows the creature formerly known as Katie causing horrifying, escalating chaos, while an Egyptian detective pokes into the case overseas, and Katie’s father, Charlie, played by Reynor, does his own research in a desperate attempt to figure out what’s wrong with his daughter.
At the end of the movie, the detective comes to New Mexico and helps Charlie manipulate the demon into leaping out of Katie and into Charlie. He saves his daughter, but dooms himself. That’s where the movie ended originally, apparently. The version that made it into theaters has an additional scene where the Magician, who’s been jailed for kidnapping Katie, gets a visit from a mummified Charlie. Again with the detective’s help, the demon makes another leap between bodies—this time, freeing Charlie and taking over the Magician’s soul instead.
That was a reshoot, Reynor told the Hollywood Reporter. “We came back and picked it up, which was cool because it was the one day where I actually got to be the Mummy. It’s fun to get into the makeup and get to be part of that legacy,” Reynor said, name-checking the Boris Karloff and Christopher Lee versions of the character. Even beyond becoming part of horror history, though, he understood the reason for the change.
“You make these decisions because you want to give the audience what they want, and I understand that. Is it a better movie, objectively speaking? I don’t know. I did like Lee’s original ending,” Reynor admitted. “But I also understand that if I went to see that movie with my teenage kids and they were bummed out because it was so fucking bleak at the end, maybe I’d be [more in favor of the new ending]. So I get it both ways. I see the merits of both for different reasons.” The new ending is cathartic; after all, the Magician was the one who singled Katie out for years of unimaginable torture, not to mention inflicting torment on her family. She deserves some payback other than prison time. But it also left another lingering question: what happens next?
The Magician was the person in charge of handing down the knowledge of how to contain the demon to the next generation. Now that she’s become its current vessel, who will be keeping an eye out? Presumably, that burden now transfers to her only surviving child—a girl around Katie’s age—who’ll have to select a new innocent victim someday and perform the same ritual once her mother’s body starts to break down. We probably won’t get another Lee Cronin’s The Mummy to explore that further, but thinking about it too much does make the new ending a little less suffused with the gleeful spirit of revenge. Want more io9 news? Check out when to expect the latest Marvel, Star Wars, and Star Trek releases, what’s next for the DC Universe on film and TV, and everything you need to know about the future of Doctor Who. #Lee #Cronins #Mummy #Originally #BleakerJack Reynor,Lee Cronin’s The Mummy](https://gizmodo.com/app/uploads/2025/09/io9-2025-spoiler.png "‘Lee Cronin’s The Mummy’ Originally Had a Much Bleaker Ending
Lee Cronin’s The Mummy wasn’t our favorite mummy movie, but it did have some recommendable qualities, including its high levels of gruesome gore. We also approved of the ending, which offered a satisfying twist to the agony that came before. And while The Mummy‘s test screenings were targeted by some since-debunked negative rumors (look, James Wan just wanted more snacks, that’s all!), apparently those same early showings helped writer-director Cronin figure out that all-important final note for his film. Star Jack Reynor talked about the original ending and the changes that were made, and we’ll add one of these in case you haven’t yet seen Lee Cronin’s The Mummy. At the end of Lee Cronin’s The Mummy, the characters have all realized that young Katie is possessed by a ferocious demon. She was kidnapped years earlier by her friend’s mother, a character the film calls “the Magician,” for the sole purpose of becoming the next containment vessel for this demon over a period of years.
The sarcophagus and wrappings covered in ancient writing she’s entombed in are meant to trap the demon as part of an obligation upheld by the Magician’s family for generations upon generations. The demon starts to escape when the sarcophagus is moved out of necessity from the Magician’s farm. Instead of relocating safely, the sarcophagus breaks open in a plane crash, and Katie—still alive, albeit mummified and barely clinging to her human soul—is sent from Egypt to New Mexico to reunite with her surprised and thankful mother, father, and two siblings.
The bulk of Lee Cronin’s The Mummy follows the creature formerly known as Katie causing horrifying, escalating chaos, while an Egyptian detective pokes into the case overseas, and Katie’s father, Charlie, played by Reynor, does his own research in a desperate attempt to figure out what’s wrong with his daughter.
At the end of the movie, the detective comes to New Mexico and helps Charlie manipulate the demon into leaping out of Katie and into Charlie. He saves his daughter, but dooms himself. That’s where the movie ended originally, apparently. The version that made it into theaters has an additional scene where the Magician, who’s been jailed for kidnapping Katie, gets a visit from a mummified Charlie. Again with the detective’s help, the demon makes another leap between bodies—this time, freeing Charlie and taking over the Magician’s soul instead.
That was a reshoot, Reynor told the Hollywood Reporter. “We came back and picked it up, which was cool because it was the one day where I actually got to be the Mummy. It’s fun to get into the makeup and get to be part of that legacy,” Reynor said, name-checking the Boris Karloff and Christopher Lee versions of the character. Even beyond becoming part of horror history, though, he understood the reason for the change.
“You make these decisions because you want to give the audience what they want, and I understand that. Is it a better movie, objectively speaking? I don’t know. I did like Lee’s original ending,” Reynor admitted. “But I also understand that if I went to see that movie with my teenage kids and they were bummed out because it was so fucking bleak at the end, maybe I’d be [more in favor of the new ending]. So I get it both ways. I see the merits of both for different reasons.” The new ending is cathartic; after all, the Magician was the one who singled Katie out for years of unimaginable torture, not to mention inflicting torment on her family. She deserves some payback other than prison time. But it also left another lingering question: what happens next?
The Magician was the person in charge of handing down the knowledge of how to contain the demon to the next generation. Now that she’s become its current vessel, who will be keeping an eye out? Presumably, that burden now transfers to her only surviving child—a girl around Katie’s age—who’ll have to select a new innocent victim someday and perform the same ritual once her mother’s body starts to break down. We probably won’t get another Lee Cronin’s The Mummy to explore that further, but thinking about it too much does make the new ending a little less suffused with the gleeful spirit of revenge. Want more io9 news? Check out when to expect the latest Marvel, Star Wars, and Star Trek releases, what’s next for the DC Universe on film and TV, and everything you need to know about the future of Doctor Who. #Lee #Cronins #Mummy #Originally #BleakerJack Reynor,Lee Cronin’s The Mummy")
![‘Lee Cronin’s The Mummy’ Originally Had a Much Bleaker Ending
Lee Cronin’s The Mummy wasn’t our favorite mummy movie, but it did have some recommendable qualities, including its high levels of gruesome gore. We also approved of the ending, which offered a satisfying twist to the agony that came before. And while The Mummy‘s test screenings were targeted by some since-debunked negative rumors (look, James Wan just wanted more snacks, that’s all!), apparently those same early showings helped writer-director Cronin figure out that all-important final note for his film. Star Jack Reynor talked about the original ending and the changes that were made, and we’ll add one of these in case you haven’t yet seen Lee Cronin’s The Mummy. At the end of Lee Cronin’s The Mummy, the characters have all realized that young Katie is possessed by a ferocious demon. She was kidnapped years earlier by her friend’s mother, a character the film calls “the Magician,” for the sole purpose of becoming the next containment vessel for this demon over a period of years.
The sarcophagus and wrappings covered in ancient writing she’s entombed in are meant to trap the demon as part of an obligation upheld by the Magician’s family for generations upon generations. The demon starts to escape when the sarcophagus is moved out of necessity from the Magician’s farm. Instead of relocating safely, the sarcophagus breaks open in a plane crash, and Katie—still alive, albeit mummified and barely clinging to her human soul—is sent from Egypt to New Mexico to reunite with her surprised and thankful mother, father, and two siblings.
The bulk of Lee Cronin’s The Mummy follows the creature formerly known as Katie causing horrifying, escalating chaos, while an Egyptian detective pokes into the case overseas, and Katie’s father, Charlie, played by Reynor, does his own research in a desperate attempt to figure out what’s wrong with his daughter.
At the end of the movie, the detective comes to New Mexico and helps Charlie manipulate the demon into leaping out of Katie and into Charlie. He saves his daughter, but dooms himself. That’s where the movie ended originally, apparently. The version that made it into theaters has an additional scene where the Magician, who’s been jailed for kidnapping Katie, gets a visit from a mummified Charlie. Again with the detective’s help, the demon makes another leap between bodies—this time, freeing Charlie and taking over the Magician’s soul instead.
That was a reshoot, Reynor told the Hollywood Reporter. “We came back and picked it up, which was cool because it was the one day where I actually got to be the Mummy. It’s fun to get into the makeup and get to be part of that legacy,” Reynor said, name-checking the Boris Karloff and Christopher Lee versions of the character. Even beyond becoming part of horror history, though, he understood the reason for the change.
“You make these decisions because you want to give the audience what they want, and I understand that. Is it a better movie, objectively speaking? I don’t know. I did like Lee’s original ending,” Reynor admitted. “But I also understand that if I went to see that movie with my teenage kids and they were bummed out because it was so fucking bleak at the end, maybe I’d be [more in favor of the new ending]. So I get it both ways. I see the merits of both for different reasons.” The new ending is cathartic; after all, the Magician was the one who singled Katie out for years of unimaginable torture, not to mention inflicting torment on her family. She deserves some payback other than prison time. But it also left another lingering question: what happens next?
The Magician was the person in charge of handing down the knowledge of how to contain the demon to the next generation. Now that she’s become its current vessel, who will be keeping an eye out? Presumably, that burden now transfers to her only surviving child—a girl around Katie’s age—who’ll have to select a new innocent victim someday and perform the same ritual once her mother’s body starts to break down. We probably won’t get another Lee Cronin’s The Mummy to explore that further, but thinking about it too much does make the new ending a little less suffused with the gleeful spirit of revenge. Want more io9 news? Check out when to expect the latest Marvel, Star Wars, and Star Trek releases, what’s next for the DC Universe on film and TV, and everything you need to know about the future of Doctor Who. #Lee #Cronins #Mummy #Originally #BleakerJack Reynor,Lee Cronin’s The Mummy](https://i3.wp.com/gizmodo.com/app/uploads/2025/09/io9-2025-spoiler.png?ssl=1 "‘Lee Cronin’s The Mummy’ Originally Had a Much Bleaker Ending
Lee Cronin’s The Mummy wasn’t our favorite mummy movie, but it did have some recommendable qualities, including its high levels of gruesome gore. We also approved of the ending, which offered a satisfying twist to the agony that came before. And while The Mummy‘s test screenings were targeted by some since-debunked negative rumors (look, James Wan just wanted more snacks, that’s all!), apparently those same early showings helped writer-director Cronin figure out that all-important final note for his film. Star Jack Reynor talked about the original ending and the changes that were made, and we’ll add one of these in case you haven’t yet seen Lee Cronin’s The Mummy. At the end of Lee Cronin’s The Mummy, the characters have all realized that young Katie is possessed by a ferocious demon. She was kidnapped years earlier by her friend’s mother, a character the film calls “the Magician,” for the sole purpose of becoming the next containment vessel for this demon over a period of years.
The sarcophagus and wrappings covered in ancient writing she’s entombed in are meant to trap the demon as part of an obligation upheld by the Magician’s family for generations upon generations. The demon starts to escape when the sarcophagus is moved out of necessity from the Magician’s farm. Instead of relocating safely, the sarcophagus breaks open in a plane crash, and Katie—still alive, albeit mummified and barely clinging to her human soul—is sent from Egypt to New Mexico to reunite with her surprised and thankful mother, father, and two siblings.
The bulk of Lee Cronin’s The Mummy follows the creature formerly known as Katie causing horrifying, escalating chaos, while an Egyptian detective pokes into the case overseas, and Katie’s father, Charlie, played by Reynor, does his own research in a desperate attempt to figure out what’s wrong with his daughter.
At the end of the movie, the detective comes to New Mexico and helps Charlie manipulate the demon into leaping out of Katie and into Charlie. He saves his daughter, but dooms himself. That’s where the movie ended originally, apparently. The version that made it into theaters has an additional scene where the Magician, who’s been jailed for kidnapping Katie, gets a visit from a mummified Charlie. Again with the detective’s help, the demon makes another leap between bodies—this time, freeing Charlie and taking over the Magician’s soul instead.
That was a reshoot, Reynor told the Hollywood Reporter. “We came back and picked it up, which was cool because it was the one day where I actually got to be the Mummy. It’s fun to get into the makeup and get to be part of that legacy,” Reynor said, name-checking the Boris Karloff and Christopher Lee versions of the character. Even beyond becoming part of horror history, though, he understood the reason for the change.
“You make these decisions because you want to give the audience what they want, and I understand that. Is it a better movie, objectively speaking? I don’t know. I did like Lee’s original ending,” Reynor admitted. “But I also understand that if I went to see that movie with my teenage kids and they were bummed out because it was so fucking bleak at the end, maybe I’d be [more in favor of the new ending]. So I get it both ways. I see the merits of both for different reasons.” The new ending is cathartic; after all, the Magician was the one who singled Katie out for years of unimaginable torture, not to mention inflicting torment on her family. She deserves some payback other than prison time. But it also left another lingering question: what happens next?
The Magician was the person in charge of handing down the knowledge of how to contain the demon to the next generation. Now that she’s become its current vessel, who will be keeping an eye out? Presumably, that burden now transfers to her only surviving child—a girl around Katie’s age—who’ll have to select a new innocent victim someday and perform the same ritual once her mother’s body starts to break down. We probably won’t get another Lee Cronin’s The Mummy to explore that further, but thinking about it too much does make the new ending a little less suffused with the gleeful spirit of revenge. Want more io9 news? Check out when to expect the latest Marvel, Star Wars, and Star Trek releases, what’s next for the DC Universe on film and TV, and everything you need to know about the future of Doctor Who. #Lee #Cronins #Mummy #Originally #BleakerJack Reynor,Lee Cronin’s The Mummy")
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