Happy Pi Day! March 14 is the date that otherwise rational people celebrate this irrational number, because 3/14 contains the first three digits of pi. And hey, pi deserves a day. By definition, it’s the ratio of the circumference and diameter of a circle, but it shows up in all kinds of places that seem to have nothing to do with circles, from music to quantum mechanics.
Pi is an infinitely long decimal number that never repeats. How do we know? Well, humans have calculated it to 314 trillion decimal places and didn’t reach the end. At that point, I’m inclined to accept it. I mean, NASA uses only the first 15 decimal places for navigating spacecraft, and that’s more than enough for earthly applications.
The coolest thing, for me, is that there are many ways to approximate that value, which I’ve written about in the past. For instance, you can do it by oscillating a mass on a spring. But maybe the craziest method of all was proven in 1777 by George Louis Leclerc, Comte de Buffon.
Decades earlier, Buffon had posed this as a probability question in geometry: Imagine you have a floor with parallel lines separated by a distance d. Onto this floor, you drop a bunch of needles with length L. What is the probability that a needle will cross one of the parallel lines?
A picture will help you understand what’s happening. Let’s say I drop just two needles on the floor (feel free to replace the needles with something safer, like toothpicks). Also, just to make things easier later, we can say that the needle length and line spacing are equal (d = L).
You can see that one of the needles crosses a line and the other doesn’t. OK, but what are the chances? This is not the most trivial problem, but let’s think about just one dropped needle. We only care about two values—the distance (x) from the farther end of the needle to a line, and the angle of the needle (θ) with respect to a perpendicular (see the diagram below). If x is less than half the spacing between lines, we get a needle-crossing. As you can see, you’d get a higher probability with a smaller x or a smaller θ.
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#Approximate #Dropping #Needles #Floor
![‘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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