The number pi is found everywhere

The number pi is found everywhere. His involvement with circles is well known, but it also crops up in other settings. For example, the series 1/1 2 + 1/2 2 + 1/3 2 + 1/4 2 + 1/5 2 … = 1 + 1/4 + 1/9 + 1/16 + 1/25 .. . gets closer and closer to the value π2 / 6 = 1.645... as more and more terms are added. Flipping this fraction around, we get 6/π2, which is equal to the probability that two numbers, provided they are large enough, are prime—that is, that they have no common factors other than 1.
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The Rubik's Cube, created by Hungarian architect and architecture professor Ernő Rubik in 1974, has become one of the world's most popular puzzles and a true cultural icon. Originally invented by Rubik as a teaching tool to teach his students about geometry and spatial transformations, it quickly became a worldwide challenge.
The 3x3x3 cube, the best-known version, has around 43 quintillion possible ..know more

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Explore more about premiered in December 2024, exactly 30 years after the release of the 1994 animated classic. Directed by Barry Jenkins, winner of the Oscar for "Moonlight", the film explores the origins of Mufasa, revealing his journey from an orphaned cub to king of the Pride Lands. The narrative also delves into the complex relationship between Mufasa and his brother, Scar, providing context for the rivalry that culminates in the events already known to the public. The production stands out for its use of advanced animation technology, presenting a hyper-realistic aesthetic that accurately recreates the African savannah. However, critics point out that this realism can limit the expressiveness of the characters. The soundtrack was handled by Lin-Manuel Miranda, who composed new songs while respecting the musical legacy of the franchise. Interestingly, Beyoncé

premiered in December 2024, exactly 30 years after the release of the 1994 animated classic. Directed by Barry Jenkins, winner of the Oscar for "Moonlight", the film explores the origins of Mufasa, revealing his journey from an orphaned cub to king of the Pride Lands. The narrative also delves into the complex relationship between Mufasa and his brother, Scar, providing context for the rivalry that ..know more

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Explore more about Stairway to Heaven, released in 1971 by Led Zeppelin, is one of the most iconic songs in rock history. Composed by Jimmy Page and Robert Plant, the song has a unique structure, starting with a soft acoustic guitar intro and gradually building to an epic guitar solo, considered one of the best of all time. The mysterious and poetic lyrics contributed to the fascination surrounding the song, generating several interpretations over the years. One of the most well-known curiosities about "Stairway to Heaven" is the theory that, when played backwards, the song would reveal subliminal messages. Some believe that parts of the audio would contain hidden references, although this has never been proven. Furthermore, the song was never released as a commercial single, but it still became one of the most played songs on the radio and a must-have in rock music. Its impact and influence remain strong to this day...

Stairway to Heaven, released in 1971 by Led Zeppelin, is one of the most iconic songs in rock history. Composed by Jimmy Page and Robert Plant, the song has a unique structure, starting with a soft acoustic guitar intro and gradually building to an epic guitar solo, considered one of the best of all time. The mysterious and poetic lyrics contributed to the fascination surrounding the song, generating ..know more

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Explore more about Sanfona Sentida is one of the most emblematic musics of Dominguinhos, one of the two greatest sanfoneiros do Brasil. Released in 1980, the song reflects all of Dominguinhos

Sanfona Sentida is one of the most emblematic musics of Dominguinhos, one of the two greatest sanfoneiros do Brasil. Released in 1980, the song reflects all of Dominguinhos' mastery, which was innovated and lined with a unique mix of softness and complexity. Dominguinhos, who was a disciple of Luiz Gonzaga, is recognized for his unparalleled skill in music and his ability to play with a sensitivity ..know more

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Explore more about Smells Like Teen Spirit, released in 1991 by Nirvana, is one of the most iconic musics in rock history and a symbol of the grunge movement. Composed by Kurt Cobain, Krist Novoselic and Dave Grohl, the song presents raw energy, with distorted guitars and an explosive refrain that captured the rebellious spirit of the youth of the era. The curious title came from a song written by one of Cobain

Smells Like Teen Spirit, released in 1991 by Nirvana, is one of the most iconic musics in rock history and a symbol of the grunge movement. Composed by Kurt Cobain, Krist Novoselic and Dave Grohl, the song presents raw energy, with distorted guitars and an explosive refrain that captured the rebellious spirit of the youth of the era. The curious title came from a song written by one of Cobain's friends, ..know more

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Explore more about Poppy Playtime: Chapter 3, titled "Deep Sleep", has finally been released, bringing a new and chilling journey into the dark universe of the Playtime Co. toy factory.
This time, players are taken to an underground orphanage known as The Daycare, an abandoned place full of disturbing mysteries. New challenges, complex puzzles and terrifying creatures await those who venture through the dark corridors of this new phase.
New Features and Game Elements
New antagonist: This chapter introduces a new and even more menacing villain, increasing the series

Poppy Playtime: Chapter 3, titled "Deep Sleep", has finally been released, bringing a new and chilling journey into the dark universe of the Playtime Co. toy factory.
This time, players are taken to an underground orphanage known as The Daycare, an abandoned place full of disturbing mysteries. New challenges, complex puzzles and terrifying creatures await those who venture through the dark ..know more

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Explore more about Amerigo Vespucci (1454–1512) was an Italian navigator and explorer whose voyages to the New World helped redefine the geographical understanding of the time. Unlike Christopher Columbus, who believed he had reached Asia, Vespucci realized that the lands he had discovered were in fact a continent unknown to Europeans. His expeditions between 1499 and 1502 were crucial to this revelation.
In his letters, Vespucci described the new lands and peoples in great detail, convincing the cartographer Martin Waldseemüller to name the continent "America" in his honor on the 1507 map. This designation became popular, cementing Vespucci in history.
Despite some controversy over the authenticity of his accounts, his influence on the understanding of the New World was undeniable. Vespucci also played an important role in the Spanish House of Contracting, helping to organize expeditions.
His legacy lives on, and he is recognized as one of the great names of the Age of Discovery...

Amerigo Vespucci (1454–1512) was an Italian navigator and explorer whose voyages to the New World helped redefine the geographical understanding of the time. Unlike Christopher Columbus, who believed he had reached Asia, Vespucci realized that the lands he had discovered were in fact a continent unknown to Europeans. His expeditions between 1499 and 1502 were crucial to this revelation.
In ..know more

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Explore more about Imagine, released in 1971 by John Lennon, is one of the most influential songs in history. With a simple and engaging melody, its lyrics convey a powerful message of peace, unity and hope. The song invites the listener to imagine a world without borders, religions or material possessions, where everyone lives in harmony. Lennon revealed that the lyrics were inspired by poems by his wife, Yoko Ono, as well as his own reflections on humanity. The song quickly became an anthem for peace movements and is still used today at events promoting global peace. Despite its utopian message, "Imagine" has also generated controversy, being criticized by some who interpret it as a naive or even anti-religious vision. However, its impact is undeniable, and the song continues to inspire generations in search of a more just and caring world. Even decades after its release, "Imagine" remains relevant as a symbol of hope and change...

Imagine, released in 1971 by John Lennon, is one of the most influential songs in history. With a simple and engaging melody, its lyrics convey a powerful message of peace, unity and hope. The song invites the listener to imagine a world without borders, religions or material possessions, where everyone lives in harmony. Lennon revealed that the lyrics were inspired by poems by his wife, Yoko Ono, ..know more

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Explore more about The Lord of the Rings: War of the Rohirrim is an anime-style animated film directed by Kenji Kamiyama, released in December 2024. The plot is set 183 years before the events of the original trilogy, exploring the story of King Helm Hammerhand of Rohan and the events that led to the construction of Helm

The Lord of the Rings: War of the Rohirrim is an anime-style animated film directed by Kenji Kamiyama, released in December 2024. The plot is set 183 years before the events of the original trilogy, exploring the story of King Helm Hammerhand of Rohan and the events that led to the construction of Helm's Deep. The narrative is enriched by the participation of Miranda Otto, who returns as Éowyn, ..know more

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Explore more about Mount Everest, the highest mountain in the world, is constantly growing! Located in the Himalayan mountain range between Nepal and Tibet, its elevation gradually increases due to the movement of the Indian and Eurasian tectonic plates, which are in constant collision. This impact causes the Himalayas to rise a few millimeters every year.
This process occurs due to orogenesis, a geological phenomenon responsible for the formation of mountain ranges over millions of years. In the case of Everest, the pressure of the Indian plate against the Eurasian plate generates a slow but constant growth of the mountain.
However, this increase is not always linear. Earthquakes in the region can occasionally reduce Everest

Mount Everest, the highest mountain in the world, is constantly growing! Located in the Himalayan mountain range between Nepal and Tibet, its elevation gradually increases due to the movement of the Indian and Eurasian tectonic plates, which are in constant collision. This impact causes the Himalayas to rise a few millimeters every year.
This process occurs due to orogenesis, a geological phenomenon ..know more

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Explore more about The Pacific Ocean is the largest and deepest ocean on Earth, covering about 30% of the planet

The Pacific Ocean is the largest and deepest ocean on Earth, covering about 30% of the planet's surface. Its vastness is so impressive that if all the continents were placed inside it, there would still be space left over. With an area of approximately 165 million km², it is larger than the entire surface of the Moon!
In addition to its colossal size, the Pacific is home to the Mariana Trench, ..know more

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