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A = 4πr² Exactly the surface area of a sphere, yet this shape—born from two perpendicular circles—unfolds perfectly flat without stretching, rolls in hypnotic figure-8 rhythms, and keeps its center of gravity impossibly still. The Oloid: where math whispers secrets of effortless motion, zero turbulence, and pure elegance.

Mathematica

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245,980 views • 5 months ago •via X (Twitter)

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From the surface of the Moon, Earth appears as a bright and beautiful sphere the place where we all live.🌍 Every ocean, continent, and life form exists on that distant blue planet. From the silent and lifeless Moon, Earth looks vibrant and full of motion, making the contrast deeply powerful. This view reminds us how small we are in the universe, yet how special our home truly is. A distant world in the sky… but everything we know is there.

From the surface of the Moon, Earth appears as a bright and beautiful sphere the place where we all live.🌍 Every ocean, continent, and life form exists on that distant blue planet. From the silent and lifeless Moon, Earth looks vibrant and full of motion, making the contrast deeply powerful. This view reminds us how small we are in the universe, yet how special our home truly is. A distant world in the sky… but everything we know is there.

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And there's the zero gravity indicator—a hand crocheted crane, with a flag from each nation on this mission on its tail. "#Crew10 believes in all of the dreamers." Interested in making your own zero gravity indicator? Join the Moon Mascot contest and your design could fly in space with NASA Artemis II:

And there's the zero gravity indicator—a hand crocheted crane, with a flag from each nation on this mission on its tail. "#Crew10 believes in all of the dreamers." Interested in making your own zero gravity indicator? Join the Moon Mascot contest and your design could fly in space with NASA Artemis II:

NASA

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In this unique #DGAltaSartoria creation, the chest piece in gold bullion thread and precious stones pays homage to the solemn elegance of ecclesiastical tailoring. The cross at its center is perfectly intertwined with the intricate details, while the silhouette echoes the structure of ancient reliquaries, reflecting the meticulous craftsmanship of #DGFattoAMano. An exclusive garment where accurate handmade mastery, devotion, and artisanal techniques converge in a sublime expression of #MadeInItaly. Rewatch the show and discover more at #DolceGabbana

In this unique #DGAltaSartoria creation, the chest piece in gold bullion thread and precious stones pays homage to the solemn elegance of ecclesiastical tailoring. The cross at its center is perfectly intertwined with the intricate details, while the silhouette echoes the structure of ancient reliquaries, reflecting the meticulous craftsmanship of #DGFattoAMano. An exclusive garment where accurate handmade mastery, devotion, and artisanal techniques converge in a sublime expression of #MadeInItaly. Rewatch the show and discover more at #DolceGabbana

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Water has a mind of its own in space. The common memory justifies that if you spill water on Earth, it rushes to hug the Mother Earth and whatever intervening material may be there in between. In space, it refuse to settle. As you see in the video, it forms a neat sphere, the most optimal shape to minimize surface area when gravity is too weak to act against surface tension. Then I use a pencil lead to carefully rotate this blob (A trick I learned on the station). Notice how the shape changes - a cylinder. Under the influence of the rotational forces the neat sphere gives way to the new shape. The environment of microgravity introduces new dynamics between the forces unlike what we see on Earth. Incidentally, this is why our Earth itself is flatter at poles and bulged at equator. The rotation of the Earth causes that. Wait till the end to see what happens to this blob. Space is a great classroom. #shux #space #axiom4 #shubhanshushukla #india

Water has a mind of its own in space. The common memory justifies that if you spill water on Earth, it rushes to hug the Mother Earth and whatever intervening material may be there in between. In space, it refuse to settle. As you see in the video, it forms a neat sphere, the most optimal shape to minimize surface area when gravity is too weak to act against surface tension. Then I use a pencil lead to carefully rotate this blob (A trick I learned on the station). Notice how the shape changes - a cylinder. Under the influence of the rotational forces the neat sphere gives way to the new shape. The environment of microgravity introduces new dynamics between the forces unlike what we see on Earth. Incidentally, this is why our Earth itself is flatter at poles and bulged at equator. The rotation of the Earth causes that. Wait till the end to see what happens to this blob. Space is a great classroom. #shux #space #axiom4 #shubhanshushukla #india

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In locations ranging from the Alaska tundra and Arizona desert, to the mountains of New Zealand and sub-zero testing chambers, we have tested the Lucid Gravity in some of the most extreme conditions on earth. No matter the weather outside your door, your Lucid Gravity will be ready every time. Combine this with our seating for seven adults and all their cargo, incredible driving dynamics on any surface, and unrivaled efficiency and performance. No where else can you find all of this in a single vehicle. Learn more and order yours today:

In locations ranging from the Alaska tundra and Arizona desert, to the mountains of New Zealand and sub-zero testing chambers, we have tested the Lucid Gravity in some of the most extreme conditions on earth. No matter the weather outside your door, your Lucid Gravity will be ready every time. Combine this with our seating for seven adults and all their cargo, incredible driving dynamics on any surface, and unrivaled efficiency and performance. No where else can you find all of this in a single vehicle. Learn more and order yours today:

Lucid Motors

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In the weightlessness on International Space Station I placed a sphere of water with an air bubble on a speaker cone, then drove it with acoustical waves from the speaker. This created a series of standing nodes and anti-nodes that responded to the frequency and amplitude. A zero gravity Lava Lamp! Will post what happens when I drove this with some of my favorite rock and roll! From Expedition 31, 2012.

Don Pettit

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As a car guy, nothing beats the pure satisfaction of resurfacing this GM 1.4 8V cylinder head on the CNC. Watching it carve razor-thin layers off the mating surface—blue dye vanishing with every precise pass, the head moving back and forth in that hypnotic rhythm—is pure therapy. Why bother? Heat cycles warp the aluminum over time. The surface gets uneven, compression suffers, and no gasket can seal perfectly. Once re-leveled to dead-flat specs, the head and block mate like they were born for each other. Gaskets compress evenly, combustion efficiency skyrockets, and you get better power, cleaner burn, and longevity. It’s the kind of invisible work that makes an engine wake up and run like new. Respect the details. 🛠️🔥

As a car guy, nothing beats the pure satisfaction of resurfacing this GM 1.4 8V cylinder head on the CNC. Watching it carve razor-thin layers off the mating surface—blue dye vanishing with every precise pass, the head moving back and forth in that hypnotic rhythm—is pure therapy. Why bother? Heat cycles warp the aluminum over time. The surface gets uneven, compression suffers, and no gasket can seal perfectly. Once re-leveled to dead-flat specs, the head and block mate like they were born for each other. Gaskets compress evenly, combustion efficiency skyrockets, and you get better power, cleaner burn, and longevity. It’s the kind of invisible work that makes an engine wake up and run like new. Respect the details. 🛠️🔥

🚫👁️Drinks on Saturday🇺🇸

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This is God—the Aether, the Field. Aether's Dielectric energy Hyperboloid and its Magnetic Torus. Mediated to its center is Universal Consciousness. Everything is a modality of Universal Consciousness. Universal Consciousness isn't a wave or a particle. It's in the No-thing where the Universe came from, and still repeating. ✨🙌🏾💫

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BB Art

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The Moon is massive enough that its gravity should shape it into a perfect sphere—but it’s not. Why? It has two distinct moments of inertia, meaning it's not evenly balanced. That tells us something strange: the Moon isn’t just spinning—it's locked in a 1:1 spin-orbit resonance with Earth. That’s why we only ever see one face. If it were perfectly symmetrical, Earth’s gravity wouldn’t have such a grip on it. So what stopped the Moon from smoothing out? This isn’t just a cosmic curiosity—it’s a clue.

The Moon is massive enough that its gravity should shape it into a perfect sphere—but it’s not. Why? It has two distinct moments of inertia, meaning it's not evenly balanced. That tells us something strange: the Moon isn’t just spinning—it's locked in a 1:1 spin-orbit resonance with Earth. That’s why we only ever see one face. If it were perfectly symmetrical, Earth’s gravity wouldn’t have such a grip on it. So what stopped the Moon from smoothing out? This isn’t just a cosmic curiosity—it’s a clue.

Randall Carlson

251,224 views • 1 year ago

The 2026 Gravity SUV is the new model that startup Lucid Motors has chosen to follow its beautiful Air luxury sedan. It has two electric motors that provide all-wheel drive, and Lucid is claiming the Gravity's maximum range is 450 miles per charge. Both two- and three-row versions of the Gravity will be offered, with the three-row getting six- and seven-passenger seating options. The seats fold flat to provide plenty of space for cargo, and there's a decent-sized front trunk ahead of the windshield in the place where a gas-powered SUV's engine would be.

The 2026 Gravity SUV is the new model that startup Lucid Motors has chosen to follow its beautiful Air luxury sedan. It has two electric motors that provide all-wheel drive, and Lucid is claiming the Gravity's maximum range is 450 miles per charge. Both two- and three-row versions of the Gravity will be offered, with the three-row getting six- and seven-passenger seating options. The seats fold flat to provide plenty of space for cargo, and there's a decent-sized front trunk ahead of the windshield in the place where a gas-powered SUV's engine would be.

Car and Driver

35,170 views • 1 year ago

🚨RAHUL GANDHI He behaves like a spoiled child born into a throne he never earned. Fails every test of leadership, every exam of competence, yet walks around with royal arrogance. Zero achievement, zero accountability, unlimited entitlement. Instead of learning from failure, he abuses the system and plays victim. Power without merit, confidence without capability, noise without substance. Supporters may clap, but reality keeps exposing him as an heir living off a surname, not a leader built on talent.

🚨RAHUL GANDHI He behaves like a spoiled child born into a throne he never earned. Fails every test of leadership, every exam of competence, yet walks around with royal arrogance. Zero achievement, zero accountability, unlimited entitlement. Instead of learning from failure, he abuses the system and plays victim. Power without merit, confidence without capability, noise without substance. Supporters may clap, but reality keeps exposing him as an heir living off a surname, not a leader built on talent.

BALA

22,868 views • 7 months ago

for everyone wondering how zero-delay tracking is even possible on an $8 chip: it is all thanks to the Kalman filter. this 1-minute clip from Steve Brunton perfectly explains why it works (full lecture in reply) instead of just observing a target, it mathematically predicts where it will be in the next millisecond. here is what happens under the hood: - balances physics of motion against noisy camera data - corrects the trajectory instantly - moves the robotic arm before the next frame processes this is the exact same math used in rockets and autonomous driving, stripped down for a cheap microcontroller.

for everyone wondering how zero-delay tracking is even possible on an $8 chip: it is all thanks to the Kalman filter. this 1-minute clip from Steve Brunton perfectly explains why it works (full lecture in reply) instead of just observing a target, it mathematically predicts where it will be in the next millisecond. here is what happens under the hood: - balances physics of motion against noisy camera data - corrects the trajectory instantly - moves the robotic arm before the next frame processes this is the exact same math used in rockets and autonomous driving, stripped down for a cheap microcontroller.

ard

53,268 views • 23 days ago

Taiwan sits at the center of what American strategists call the First Island Chain. This is a line of U.S. allies stretching from Japan, to Taiwan, to the Philippines, to Malaysia. And Taiwan's extraordinary geography is why the world's superpowers are so interested in its fate!

Taiwan sits at the center of what American strategists call the First Island Chain. This is a line of U.S. allies stretching from Japan, to Taiwan, to the Philippines, to Malaysia. And Taiwan's extraordinary geography is why the world's superpowers are so interested in its fate!

Visegrád 24

218,715 views • 8 months ago

For thousands of years, the number 144,000 has been a deep mystery, famously appearing in ancient texts like the Book of Revelation. what if it wasn’t just a spiritual metaphor? What if it was an advanced mathematical blueprint? To understand it, we look to Buckminster Fuller, the famous architect who popularized the geodesic dome (think of the giant sphere at EPCOT). Fuller found a simple formula to count the exact number of intersecting points (nodes) on a spherical grid , 10 times the "frequency" squared. Frequency is just how many times you slice up the triangles to make the sphere smoother. If we use a frequency of exactly 120, something cool happens. Why 120? In math, 120 is "5 factorial" (written as 5!, which just means 5 x 4 x 3 x 2 x 1). It is a highly foundational number that also represents the exact number of perfect symmetries in a 20-sided 3D shape. Plug 120 into Fuller's formula: 120 squared is 14,400. Multiply that by 10, and you get exactly 144,000 points. This specific 144,000-node sphere does the impossible. It unifies the two fundamental "languages" of the universe. Normally, the math of adding (like the Golden Ratio) and multiplying (like Prime numbers) do not align. They are two different grids. But at this exact 144,000-node geometry, they perfectly overlap. The physical coordinates of the sphere land flawlessly on a Golden Ratio grid, while the overall structure perfectly obeys the complex laws of prime numbers. They didn't just pick a big number to sound impressive. 144,000 is a mathematical singularity where geometry and number theory become one. The Golden Geodesic Fibonacci Structure in the 144,000-Node CTF Manifold The Prime Lattice Coherence Framework: A Unified Master Document

For thousands of years, the number 144,000 has been a deep mystery, famously appearing in ancient texts like the Book of Revelation. what if it wasn’t just a spiritual metaphor? What if it was an advanced mathematical blueprint? To understand it, we look to Buckminster Fuller, the famous architect who popularized the geodesic dome (think of the giant sphere at EPCOT). Fuller found a simple formula to count the exact number of intersecting points (nodes) on a spherical grid , 10 times the "frequency" squared. Frequency is just how many times you slice up the triangles to make the sphere smoother. If we use a frequency of exactly 120, something cool happens. Why 120? In math, 120 is "5 factorial" (written as 5!, which just means 5 x 4 x 3 x 2 x 1). It is a highly foundational number that also represents the exact number of perfect symmetries in a 20-sided 3D shape. Plug 120 into Fuller's formula: 120 squared is 14,400. Multiply that by 10, and you get exactly 144,000 points. This specific 144,000-node sphere does the impossible. It unifies the two fundamental "languages" of the universe. Normally, the math of adding (like the Golden Ratio) and multiplying (like Prime numbers) do not align. They are two different grids. But at this exact 144,000-node geometry, they perfectly overlap. The physical coordinates of the sphere land flawlessly on a Golden Ratio grid, while the overall structure perfectly obeys the complex laws of prime numbers. They didn't just pick a big number to sound impressive. 144,000 is a mathematical singularity where geometry and number theory become one. The Golden Geodesic Fibonacci Structure in the 144,000-Node CTF Manifold The Prime Lattice Coherence Framework: A Unified Master Document

CTFTHEORY

39,598 views • 1 month ago

If you can teach yourself to sit in a lotus position absolutely still, without any interruption for 45min – 1 hour, you reach a state of being that allows you to exist only in your mind. The next step is stopping your internal dialogue.. If you can teach yourself to stop your stream of thoughts and your inner dialogue, you reach a state of pure bliss, clarity and higher states of consciousness which opens the door to expanded perception this entire existence. Mastering absolute stillness in the lotus position forces the body into a state of complete surrender, where physical discomfort and distractions dissolve, leaving only the mind’s domain. This is the foundation of deep meditative absorption. Stopping the stream of thoughts and inner dialogue is the next level – pure awareness beyond concepts, where consciousness exists without identification (Samadhi). In Dzogchen, this aligns with rigpa, the direct, unfiltered knowing beyond the habitual mind. The two together – absolute stillness and cessation of thought – can lead to the dissolution of the egoic self, where what remains is pure presence, untethered from body and mind. That’s where true liberation begins.

If you can teach yourself to sit in a lotus position absolutely still, without any interruption for 45min – 1 hour, you reach a state of being that allows you to exist only in your mind. The next step is stopping your internal dialogue.. If you can teach yourself to stop your stream of thoughts and your inner dialogue, you reach a state of pure bliss, clarity and higher states of consciousness which opens the door to expanded perception this entire existence. Mastering absolute stillness in the lotus position forces the body into a state of complete surrender, where physical discomfort and distractions dissolve, leaving only the mind’s domain. This is the foundation of deep meditative absorption. Stopping the stream of thoughts and inner dialogue is the next level – pure awareness beyond concepts, where consciousness exists without identification (Samadhi). In Dzogchen, this aligns with rigpa, the direct, unfiltered knowing beyond the habitual mind. The two together – absolute stillness and cessation of thought – can lead to the dissolution of the egoic self, where what remains is pure presence, untethered from body and mind. That’s where true liberation begins.

Б L A D E R U И N E R

148,412 views • 7 months ago

The legendary pizzica dance of Puglia, Italy 🇮🇹 A spellbinding tradition unveiled 💃 The pizzica, a traditional dance from Salento in Puglia, is an explosion of energy, rhythm, and passion rooted in popular culture. Born as a therapeutic ritual for women affected by the bite of the tarantula (the so-called “tarantism”), this dance has transformed into a symbol of identity and vitality. Accompanied by the captivating sound of the tambourine, violin, and voice, the pizzica blends frenetic movements with an atmosphere of liberation and communal connection. Its origins date back centuries, intertwined with folk beliefs and healing rituals. The “tarantate,” often women oppressed by rigid social norms, found in the dance a way to express repressed emotions. Today, the pizzica is celebrated in festivals like the Notte della Taranta (in August) attracting thousands of people who immerse themselves in its hypnotic rhythms.

The legendary pizzica dance of Puglia, Italy 🇮🇹 A spellbinding tradition unveiled 💃 The pizzica, a traditional dance from Salento in Puglia, is an explosion of energy, rhythm, and passion rooted in popular culture. Born as a therapeutic ritual for women affected by the bite of the tarantula (the so-called “tarantism”), this dance has transformed into a symbol of identity and vitality. Accompanied by the captivating sound of the tambourine, violin, and voice, the pizzica blends frenetic movements with an atmosphere of liberation and communal connection. Its origins date back centuries, intertwined with folk beliefs and healing rituals. The “tarantate,” often women oppressed by rigid social norms, found in the dance a way to express repressed emotions. Today, the pizzica is celebrated in festivals like the Notte della Taranta (in August) attracting thousands of people who immerse themselves in its hypnotic rhythms.

Mambo Italiano

31,347 views • 1 year ago

Thorns and Dreams The art piece highlights the struggle between pain and hope. The figure stands in a difficult environment where every move can hurt, yet the dream is still alive. The work reflects the journey of many young people facing harsh realities, where passion is both what keeps them going and what weighs on them, and strength is built because there is no other choice.

Thorns and Dreams The art piece highlights the struggle between pain and hope. The figure stands in a difficult environment where every move can hurt, yet the dream is still alive. The work reflects the journey of many young people facing harsh realities, where passion is both what keeps them going and what weighs on them, and strength is built because there is no other choice.

Oscar korbla Mawuli Awuku

18,330 views • 7 months ago

🧱 #Live3D #Live2D #HandTracking 🧱 I spent some time refining the way I use Warp Deformers to create lateral physics-based swinging motion in Live2D. With a new production concept, I tried to achieve the highest possible level of mathematical precision. At the core are two fundamental swinging structures, which I can mix in different proportions to create different qualities of motion. The first is parallel swinging. Both sides of the Warp Deformer remain perfectly parallel throughout the motion, making it look somewhat like a sheet of paper or a tassel. The second is bending swinging. The angle between the two sides of the Warp Deformer changes as it moves, making it look more like a flexible tube or a tail. （0:12）Interestingly, when I layer the first and second structures together, the bottom forms an X-shaped pattern as it swings. It looks a little like a spine or some kind of mechanical structure. （0:23）The third structure is an equal blend of the first and second. Its characteristics are much more neutral, combining the qualities of both. （0:35）The fourth and fifth structures are created by smoothly blending the first structure into the center of the second, and the second into the center of the first, respectively. This makes them appear softer and more flexible, somewhat like a piece of fabric. （0:28）Interestingly, when I blend the fourth and fifth structures equally, the result is exactly identical to the third structure. This also demonstrates that, despite their apparent complexity, the two are actually perfect mirror images of each other. Every physics-based motion shown here uses a two-segment pendulum structure, with a swinging range of ±90°. In theory, when curled to its limit, it can bend upward into a perfect semicircle. To most people, this may look as boring as a brick. But to me, this is exactly where the romance of Live2D physics lies. Does anyone else feel the same way?

🧱 #Live3D #Live2D #HandTracking 🧱 I spent some time refining the way I use Warp Deformers to create lateral physics-based swinging motion in Live2D. With a new production concept, I tried to achieve the highest possible level of mathematical precision. At the core are two fundamental swinging structures, which I can mix in different proportions to create different qualities of motion. The first is parallel swinging. Both sides of the Warp Deformer remain perfectly parallel throughout the motion, making it look somewhat like a sheet of paper or a tassel. The second is bending swinging. The angle between the two sides of the Warp Deformer changes as it moves, making it look more like a flexible tube or a tail. （0:12）Interestingly, when I layer the first and second structures together, the bottom forms an X-shaped pattern as it swings. It looks a little like a spine or some kind of mechanical structure. （0:23）The third structure is an equal blend of the first and second. Its characteristics are much more neutral, combining the qualities of both. （0:35）The fourth and fifth structures are created by smoothly blending the first structure into the center of the second, and the second into the center of the first, respectively. This makes them appear softer and more flexible, somewhat like a piece of fabric. （0:28）Interestingly, when I blend the fourth and fifth structures equally, the result is exactly identical to the third structure. This also demonstrates that, despite their apparent complexity, the two are actually perfect mirror images of each other. Every physics-based motion shown here uses a two-segment pendulum structure, with a swinging range of ±90°. In theory, when curled to its limit, it can bend upward into a perfect semicircle. To most people, this may look as boring as a brick. But to me, this is exactly where the romance of Live2D physics lies. Does anyone else feel the same way?

📐Hephaestus📏Live2D匠人魂

19,362 views • 19 days ago

In this episode, I speak with Professor Felix Finster, a radical thinker reimagining the foundations of physics. We explore his theory of causal fermion systems, where reality emerges from quantum correlations—without assuming spacetime or geometry. From the Dirac sea to quantum gravity, this conversation challenges familiar concepts and offers a glimpse into where the next physics revolution might begin.

In this episode, I speak with Professor Felix Finster, a radical thinker reimagining the foundations of physics. We explore his theory of causal fermion systems, where reality emerges from quantum correlations—without assuming spacetime or geometry. From the Dirac sea to quantum gravity, this conversation challenges familiar concepts and offers a glimpse into where the next physics revolution might begin.

Curt Jaimungal

16,977 views • 1 year ago