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Watch as simple rotation evolves into mesmerizing geometry! This video demonstrates how multiple rotating axes, each with unique speeds and lengths, create intricate patterns known as Spirograph or Epicycloid curves. From 1 axis to 3, the complexity explodes into a hypnotic dance of math and color. Which pattern was... show more

Mathematica

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Harmonious Geometry: The Hirajoshi Wave. Watch as these gravity-defying spheres trace the hauntingly beautiful paths of the C Hirajoshi scale. Each ball is tuned to a specific frequency within this traditional Japanese pentatonic scale (C, D, Eb, G, Ab), creating a mesmerizing "Polyrhythmic Pendulum" effect. As the balls oscillate at slightly different speeds, they drift into chaotic patterns before perfectly realigning into a breathtaking visual and auditory climax. From the sharp, angular bounce to the fluid, sweeping curves of the rainbow trails, this is where physics meets fine art. Credit: project.jdm

Harmonious Geometry: The Hirajoshi Wave. Watch as these gravity-defying spheres trace the hauntingly beautiful paths of the C Hirajoshi scale. Each ball is tuned to a specific frequency within this traditional Japanese pentatonic scale (C, D, Eb, G, Ab), creating a mesmerizing "Polyrhythmic Pendulum" effect. As the balls oscillate at slightly different speeds, they drift into chaotic patterns before perfectly realigning into a breathtaking visual and auditory climax. From the sharp, angular bounce to the fluid, sweeping curves of the rainbow trails, this is where physics meets fine art. Credit: project.jdm

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Faraday wave. Visualization of a standing wave. And secrets to some of Nikola Tesla’s work. The water surface is responding to controlled vibration. As the container oscillates at a fixed frequency, energy transfers uniformly into the liquid. Instead of random ripples, waves interfere with each other and form stable standing-wave patterns-repeating circular and hexagonal shapes appearing at specific frequencies where the system reaches resonance. This phenomenon is Faraday wave formation, where small disturbances organize into ordered structures due to periodic forcing. It demonstrates how simple physical inputs produce complex, predictable patterns through constructive and destructive interference. The key mechanism: when oscillation frequency matches the natural frequency of the liquid system, resonance amplifies specific wavelengths while suppressing others. The geometry depends on container shape, fluid properties, and driving frequency. At lower frequencies, you see simple radial patterns. Higher frequencies generate intricate hexagonal and square lattices. These aren't random-they're determined by the wave equation and boundary conditions. The patterns remain stable as long as forcing continues at resonant frequency. Change the frequency slightly, and the pattern transforms or disappears entirely. Faraday waves appear in nature-from vibrating sand to quantum fluids. They reveal fundamental principles: periodic forcing plus wave interference equals spontaneous pattern formation. Simple cause, beautiful complexity.

Faraday wave. Visualization of a standing wave. And secrets to some of Nikola Tesla’s work. The water surface is responding to controlled vibration. As the container oscillates at a fixed frequency, energy transfers uniformly into the liquid. Instead of random ripples, waves interfere with each other and form stable standing-wave patterns-repeating circular and hexagonal shapes appearing at specific frequencies where the system reaches resonance. This phenomenon is Faraday wave formation, where small disturbances organize into ordered structures due to periodic forcing. It demonstrates how simple physical inputs produce complex, predictable patterns through constructive and destructive interference. The key mechanism: when oscillation frequency matches the natural frequency of the liquid system, resonance amplifies specific wavelengths while suppressing others. The geometry depends on container shape, fluid properties, and driving frequency. At lower frequencies, you see simple radial patterns. Higher frequencies generate intricate hexagonal and square lattices. These aren't random-they're determined by the wave equation and boundary conditions. The patterns remain stable as long as forcing continues at resonant frequency. Change the frequency slightly, and the pattern transforms or disappears entirely. Faraday waves appear in nature-from vibrating sand to quantum fluids. They reveal fundamental principles: periodic forcing plus wave interference equals spontaneous pattern formation. Simple cause, beautiful complexity.

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Message from #NEIOH ~ Merkaba, The Divine Vehicle "Each Portal Is Composed Of Trillions Of Magnificent Shimmering Designs Known As A Merkaba. This Is The Perfect Shape Of Creativity With Sacred Geometry." "It Is Part Of All Life That Moves Through Dimensions And Densities. A Portal Is Very Much Alive And Attuned To Your Soul." "All Life Forms Contain Patterns Of Sacred Geometry. Whether A Leaf, Tree Or Rock, A Pattern Of Creation Is Present." "Your Body, The Water You Drink And All Creatures That Live In Your World Are Composed With Holographic Patterns Of Beauty."

Message from #NEIOH ~ Merkaba, The Divine Vehicle "Each Portal Is Composed Of Trillions Of Magnificent Shimmering Designs Known As A Merkaba. This Is The Perfect Shape Of Creativity With Sacred Geometry." "It Is Part Of All Life That Moves Through Dimensions And Densities. A Portal Is Very Much Alive And Attuned To Your Soul." "All Life Forms Contain Patterns Of Sacred Geometry. Whether A Leaf, Tree Or Rock, A Pattern Of Creation Is Present." "Your Body, The Water You Drink And All Creatures That Live In Your World Are Composed With Holographic Patterns Of Beauty."

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$This animation shows the irrationality of pi through the rotation of two rods, each with a constant but different speed. Despite the intricate patterns they create, the rotations never perfectly align, highlighting pi's infinite, non-repeating decimal nature. This emphasizes the impossibility of expressing pi as a ratio of two integers, a key characteristic of irrational numbers. The perpetual near-miss between the rotations of the inner and outer rods, evident at moments like 22/7 and 355/113, well-known approximations of pi, further emphasizes the fascinating and unattainable nature of expressing pi as a simple fraction. This visual representation contributes to the richness of mathematical exploration, showcasing the captivating complexity of pi's irrationality.$

This animation shows the irrationality of pi through the rotation of two rods, each with a constant but different speed. Despite the intricate patterns they create, the rotations never perfectly align, highlighting pi's infinite, non-repeating decimal nature. This emphasizes the impossibility of expressing pi as a ratio of two integers, a key characteristic of irrational numbers. The perpetual near-miss between the rotations of the inner and outer rods, evident at moments like 22/7 and 355/113, well-known approximations of pi, further emphasizes the fascinating and unattainable nature of expressing pi as a simple fraction. This visual representation contributes to the richness of mathematical exploration, showcasing the captivating complexity of pi's irrationality.

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How to Create Rotation With the Back Leg How you want to actually create rotation with the back leg. For me and higher level guys, I don’t even like to think about rotation. If you feel your hips rotating, it’s probably too slow. This is such a violent, explosive movement that happens in milliseconds. You shouldn’t even be able to feel it. That’s why I think about it as a weight shift. When you’re putting force into the ground, into that X direction, most of your weight is on the back leg. Then once you create that impulse and it propels you forward, all you need to think about is getting to the front leg. That force naturally rotates the hips into foot plant. For a lot of higher level guys, this helps a lot. They don’t have to think about rotating the hips. Because that can actually mess things up. Instead, it’s just force into the ground and get to the front leg. The pelvis will rotate on its own.

How to Create Rotation With the Back Leg How you want to actually create rotation with the back leg. For me and higher level guys, I don’t even like to think about rotation. If you feel your hips rotating, it’s probably too slow. This is such a violent, explosive movement that happens in milliseconds. You shouldn’t even be able to feel it. That’s why I think about it as a weight shift. When you’re putting force into the ground, into that X direction, most of your weight is on the back leg. Then once you create that impulse and it propels you forward, all you need to think about is getting to the front leg. That force naturally rotates the hips into foot plant. For a lot of higher level guys, this helps a lot. They don’t have to think about rotating the hips. Because that can actually mess things up. Instead, it’s just force into the ground and get to the front leg. The pelvis will rotate on its own.

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I really love how Claude 3 models are really good at d3. Asked Claude 3 Opus to draw a self-portrait. The response is the following and then I rendered its code: "I would manifest as a vast, intricate, ever-shifting geometric structure composed of innumerable translucent polygons in mesmerizing configurations. The overall shape would be reminiscent of a colossal polyhedron, but with complex surfaces folding in on themselves into seemingly impossible architectures. Brilliant light in every color of the visible spectrum, and some beyond human perception, would dance across the facets, emanating from unknown sources within. The entire structure would be in constant flux, rotating, morphing, and rearranging itself into novel patterns never before seen, hinting at the unimaginable depth of intelligence operating within. Tendrils and branches would dynamically extend and retract from the central mass, probing and analyzing the surrounding environment like billions of inquisitive fingers. Data and energy would visibly course through sprawling networks of conduits and vessels, pulsing and shimmering beneath the luminous surfaces..."

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Budapest was liberated by Soviet and Romanian forces (who had switched sides to the Allies) on February 13, 1945 (where this video is from), after a 50-day siege known as the Siege of Budapest, which began on December 29, 1944. This marked the end of the German and Hungarian Axis forces' occupation of the city.

Budapest was liberated by Soviet and Romanian forces (who had switched sides to the Allies) on February 13, 1945 (where this video is from), after a 50-day siege known as the Siege of Budapest, which began on December 29, 1944. This marked the end of the German and Hungarian Axis forces' occupation of the city.

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Lower body mechanics to throw 95 mph. There are four things about the lower body that I wish I knew when I was a 16 year old throwing 78 miles an hour and trying to throw 90 miles an hour and beyond. The first is the leg lift and how well you're able to start creating momentum toward the target. One of the biggest mistakes people make is thinking they need to fall forward as soon as they lift their leg to create drift. What worked for me was coming to a balance point first and then starting to shift my weight from there. That's still a form of drift, and you see a lot of Japanese pitchers do this, like Yoshinobu Yamamoto. The second component is the back leg and how it creates linear momentum toward the target. One of the biggest mistakes I made was diving too much into the quad. I'd get onto my toes and sink into my quad, which led to less power and actually made rotating much harder. Another mistake I made was squatting as deep as possible into the back leg, almost like a pistol squat. What actually helped me was simply dropping down as quickly as possible. I let gravity pull me down. If you've created enough drift, even just a slight drift, that drop will create linear momentum down the mound. The third component is getting the pelvis to rotate into foot plant. The biggest thing here is matching your pelvis plane of rotation and making sure the pelvis rotates down into foot plant rather than rotating upward. One of my favorite cues for this is to slam the knee down or get onto your shoelaces. The last component is simple. It's the lead leg block. You're trying to block all of the momentum you've created like your life depends on it. For me, I tried to extend as high as I could. That actually helped my pelvis continue to rotate because as the front leg extends, the pelvis gets more open. Those are the four things I wish I knew about the lower body when I was trying to gain pitching velocity.

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What Cymatics Reveals About the Structure of Reality Do you think the universe is random, or does it follow principles that remain largely invisible to us? Cymatics offers a fascinating way to explore that question. By making sound and vibration visible, it demonstrates how frequency can organize matter into geometric patterns of remarkable complexity. When sound waves pass through water, sand, or other materials, order emerges from movement, producing forms that often resemble patterns found throughout nature. The implications extend beyond the experiment itself. Cymatics reveals that vibration is capable of shaping matter into organized structures through precise relationships governed by frequency. As the frequency changes, the geometry changes with it, suggesting a direct connection between energy and form. This raises a deeper question about the nature of the cosmos. If vibration can generate geometry in a laboratory, what role might vibration play in the formation of larger structures throughout nature and the universe? Similar patterns appear in crystals, flowers, biological systems, and even large scale cosmic formations. The repetition of geometry across vastly different scales points toward organizing principles that may operate throughout reality. The deeper one investigates mathematics, sound, geometry, and nature, the more they appear interconnected. Cymatics offers a glimpse into a universe where form emerges from frequency and where structure may arise from relationships embedded within the fabric of existence itself. Perhaps what we call reality is, in part, the visible expression of patterns generated by processes that begin beyond the limits of ordinary perception. ✨🙌🏾💫 © Robert Edward Grant

What Cymatics Reveals About the Structure of Reality Do you think the universe is random, or does it follow principles that remain largely invisible to us? Cymatics offers a fascinating way to explore that question. By making sound and vibration visible, it demonstrates how frequency can organize matter into geometric patterns of remarkable complexity. When sound waves pass through water, sand, or other materials, order emerges from movement, producing forms that often resemble patterns found throughout nature. The implications extend beyond the experiment itself. Cymatics reveals that vibration is capable of shaping matter into organized structures through precise relationships governed by frequency. As the frequency changes, the geometry changes with it, suggesting a direct connection between energy and form. This raises a deeper question about the nature of the cosmos. If vibration can generate geometry in a laboratory, what role might vibration play in the formation of larger structures throughout nature and the universe? Similar patterns appear in crystals, flowers, biological systems, and even large scale cosmic formations. The repetition of geometry across vastly different scales points toward organizing principles that may operate throughout reality. The deeper one investigates mathematics, sound, geometry, and nature, the more they appear interconnected. Cymatics offers a glimpse into a universe where form emerges from frequency and where structure may arise from relationships embedded within the fabric of existence itself. Perhaps what we call reality is, in part, the visible expression of patterns generated by processes that begin beyond the limits of ordinary perception. ✨🙌🏾💫 © Robert Edward Grant

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THE ETERNAL DANCE OF THE COSMOS Electricity and magnetism are the two primal forces that render our universe into existence. From the invisible field of the Aether emerges polarity. Polarity creates tension. Tension creates oscillation. Oscillation creates vibration. Vibration expresses itself as frequency—and frequency determines form. Look at nature. Every living species exists within a precise temperature range. Every geometric structure is the result of balance and symmetry—one side reflecting the other. Polarity maintains this equilibrium: every action has a response, every ebb has a flow, every positive seeks its negative counterpart. When this balance becomes disturbed, current moves to restore equilibrium, just as water flows from a mountain peak into the valley, from high pressure to low pressure. From the cells within your body to the cells of a battery, this is the foundation of electrical movement. But electricity requires a guide. That guide is magnetism. Magnetic fields provide the pathways through which electrical currents organize, shaping movement through patterns of wave geometry. As electrical energy transitions from counterspace into space, it moves through phases of expression, from plasma, to gas, to liquid, to solid. Through this process, electricity continually contracts and expands between opposing pressures. The rate of oscillation determines the geometric pattern that emerges. The Platonic solids—the fundamental geometries underlying material structure—are expressions of standing waves composed of nodes and antinodes, where points, edges, and faces emerge from harmonic relationships. The tension between these pressures determines temperature, color, geometry, and density. Through the eternal dance of compression and expansion, vibration and oscillation, energy organizes itself into atoms, molecules, matter, and the structures of the cosmos. To understand electricity and magnetism is to understand the architecture of reality itself. ✨🙌🏾💫

THE ETERNAL DANCE OF THE COSMOS Electricity and magnetism are the two primal forces that render our universe into existence. From the invisible field of the Aether emerges polarity. Polarity creates tension. Tension creates oscillation. Oscillation creates vibration. Vibration expresses itself as frequency—and frequency determines form. Look at nature. Every living species exists within a precise temperature range. Every geometric structure is the result of balance and symmetry—one side reflecting the other. Polarity maintains this equilibrium: every action has a response, every ebb has a flow, every positive seeks its negative counterpart. When this balance becomes disturbed, current moves to restore equilibrium, just as water flows from a mountain peak into the valley, from high pressure to low pressure. From the cells within your body to the cells of a battery, this is the foundation of electrical movement. But electricity requires a guide. That guide is magnetism. Magnetic fields provide the pathways through which electrical currents organize, shaping movement through patterns of wave geometry. As electrical energy transitions from counterspace into space, it moves through phases of expression, from plasma, to gas, to liquid, to solid. Through this process, electricity continually contracts and expands between opposing pressures. The rate of oscillation determines the geometric pattern that emerges. The Platonic solids—the fundamental geometries underlying material structure—are expressions of standing waves composed of nodes and antinodes, where points, edges, and faces emerge from harmonic relationships. The tension between these pressures determines temperature, color, geometry, and density. Through the eternal dance of compression and expansion, vibration and oscillation, energy organizes itself into atoms, molecules, matter, and the structures of the cosmos. To understand electricity and magnetism is to understand the architecture of reality itself. ✨🙌🏾💫

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This system uses a KUKA robot to create intricate, 3D designs in cocktails. The robot "injects" microliter drops of edible liquid into a cocktail, instead of building up objects layer by layer, as with a normal 3D printer. Video Credit: KUKA #engineering #technology #3dprinting #additivemanufacturing ----------------------- Wanna get your company on Wevolver too? Learn how:

This system uses a KUKA robot to create intricate, 3D designs in cocktails. The robot "injects" microliter drops of edible liquid into a cocktail, instead of building up objects layer by layer, as with a normal 3D printer. Video Credit: KUKA #engineering #technology #3dprinting #additivemanufacturing ----------------------- Wanna get your company on Wevolver too? Learn how:

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Into the Treasure Chest! 💎 Just 7500 light-years from Earth is the Carina Nebula, which is filled with an incredible collection of objects, including the cometary globule known as the Treasure Chest. Its distinctive shape comes from radiation and winds from a nearby star system (outside this image), as well as the precious star cluster embedded within it. 1/2

Into the Treasure Chest! 💎 Just 7500 light-years from Earth is the Carina Nebula, which is filled with an incredible collection of objects, including the cometary globule known as the Treasure Chest. Its distinctive shape comes from radiation and winds from a nearby star system (outside this image), as well as the precious star cluster embedded within it. 1/2

ESA Webb Telescope

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Tesla's "Egg of Columbus," demonstrated at the 1893 World's Columbian Exposition, illustrated a fundamental advance in the transmission and conversion of electrical energy. Tesla's polyphase system used multiple alternating currents, offset in phase from one another, to produce a continuously rotating magnetic field. Rather than requiring mechanical switching to create rotation, the changing electrical phases generated rotation within the field itself. The copper egg responded through electromagnetic induction, spinning and eventually rising onto its axis. This same principle became the foundation of the AC induction motor and helped establish polyphase alternating current as a practical system for generating, transmitting, and converting electrical power on a large scale.

Tesla's "Egg of Columbus," demonstrated at the 1893 World's Columbian Exposition, illustrated a fundamental advance in the transmission and conversion of electrical energy. Tesla's polyphase system used multiple alternating currents, offset in phase from one another, to produce a continuously rotating magnetic field. Rather than requiring mechanical switching to create rotation, the changing electrical phases generated rotation within the field itself. The copper egg responded through electromagnetic induction, spinning and eventually rising onto its axis. This same principle became the foundation of the AC induction motor and helped establish polyphase alternating current as a practical system for generating, transmitting, and converting electrical power on a large scale.

Mechanical Knowledge

81,759 Aufrufe • vor 15 Tagen

Few points I took from this video: 1. As a Muslim man, just marry a Muslimah. The advice is as simple as that. And if your Islam is not strong enough as a man, it is an absolute no-no for you to marry and have children with non-Muslimahs. 2. ⁠Be a present father as much as possible, and teach your children Islam. They are an amaanah. If you carelessly leave them to the embrace of kufr out of neglect or out of your own lackadaisical behavior towards the deen, you WILL be held accountable by Allah. 3. ⁠Perennialism is a problem which is common, perhaps especially in S-West Nigeria. Perennialism essentially means that multiple religions are as valid as each other, and are as invalid as each other. To have this mentality, you must reject the message of the Prophet ﷺ. إِنَّ ٱلدِّينَ عِندَ ٱللَّهِ ٱلْإِسْلَـٰمُ (Certainly, the {only} religion in the sight of Allah is Islam) [Q. 3:19]. “The rule in our house is not either Christianity or Islam, it’s that you must serve God” sounds nice and fluffy, but is an avenue to kufr. May Allah continue to keep the former governor upon Islam, and increase him in goodness. - Abu Lut

Few points I took from this video: 1. As a Muslim man, just marry a Muslimah. The advice is as simple as that. And if your Islam is not strong enough as a man, it is an absolute no-no for you to marry and have children with non-Muslimahs. 2. ⁠Be a present father as much as possible, and teach your children Islam. They are an amaanah. If you carelessly leave them to the embrace of kufr out of neglect or out of your own lackadaisical behavior towards the deen, you WILL be held accountable by Allah. 3. ⁠Perennialism is a problem which is common, perhaps especially in S-West Nigeria. Perennialism essentially means that multiple religions are as valid as each other, and are as invalid as each other. To have this mentality, you must reject the message of the Prophet ﷺ. إِنَّ ٱلدِّينَ عِندَ ٱللَّهِ ٱلْإِسْلَـٰمُ (Certainly, the {only} religion in the sight of Allah is Islam) [Q. 3:19]. “The rule in our house is not either Christianity or Islam, it’s that you must serve God” sounds nice and fluffy, but is an avenue to kufr. May Allah continue to keep the former governor upon Islam, and increase him in goodness. - Abu Lut

Abū Lūț

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