Video wird geladen...

Video konnte nicht geladen werden

Zur Startseite

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...

mathemetica's profile picture

Mathematica

21,811 subscribers

16,078 Aufrufe • vor 2 Monaten •via X (Twitter)

LIVE

Anya Rossi• Live Now

Private livecam show

0 Kommentare

Keine Kommentare verfügbar

Kommentare vom Original-Post werden hier angezeigt

Ähnliche Videos

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
1:30

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

Mathematica

646,184 Aufrufe • vor 1 Monat

Spirograph in Blender geometry-nodes. No mathematical formulation, just tracing a hierarchy of curves and lines with multiple "Repeat Input" nodes. Means is easy to move from 2d to 3d and experiment with random configs #b3d #geometrynodes #spirograph
0:26

Spirograph in Blender geometry-nodes. No mathematical formulation, just tracing a hierarchy of curves and lines with multiple "Repeat Input" nodes. Means is easy to move from 2d to 3d and experiment with random configs #b3d #geometrynodes #spirograph

Alex Martinelli

12,171 Aufrufe • vor 2 Jahren

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.
0:38

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.

Brian Roemmele

186,087 Aufrufe • vor 5 Monaten

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."
3:19

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."

Kab

88,005 Aufrufe • vor 1 Jahr

A pendulum wave is a mesmerizing physics demonstration involving a series of pendulums of different lengths that create a visual wave pattern as they swing back and forth.
1:12

A pendulum wave is a mesmerizing physics demonstration involving a series of pendulums of different lengths that create a visual wave pattern as they swing back and forth.

HOW THINGS WORK

117,477 Aufrufe • vor 1 Jahr

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.
1:29

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.

Historic Vids

3,984,431 Aufrufe • vor 2 Jahren

🤩At the #Nantong #BlueCalico Museum, immerse yourself in the joy of creating your own blue calico! From designing patterns to dyeing and drying, each step offers a unique glimpse into the challenges and surprises of this traditional craft.
0:59

🤩At the #Nantong #BlueCalico Museum, immerse yourself in the joy of creating your own blue calico! From designing patterns to dyeing and drying, each step offers a unique glimpse into the challenges and surprises of this traditional craft.

Invest Nantong

54,209 Aufrufe • vor 1 Jahr

Create custom SVG patterns with options for size, rotation, and color, exportable in SVG, PNG, GIF, and video formats. — #free by Meng To
0:25

Create custom SVG patterns with options for size, rotation, and color, exportable in SVG, PNG, GIF, and video formats. — #free by Meng To

Ozan Öztaskiran

54,214 Aufrufe • vor 1 Jahr

Trying to create a wide backswing by pushing the clubhead as far from your body as possible causes your arms to break down. In this video, I demonstrate how proper body rotation and wrist loading create lag for a powerful downswing. #golf
5:59

Trying to create a wide backswing by pushing the clubhead as far from your body as possible causes your arms to break down. In this video, I demonstrate how proper body rotation and wrist loading create lag for a powerful downswing. #golf

Kerrod Gray | Professional Golf Coach

142,930 Aufrufe • vor 1 Monat

Conroy Allen, popularly known online as ‘Jamaican Spider-Man’ or ‘Anansi Man', shared how his viral fame grew from turning his passion for dance, acrobatics and entertainment into a one-of-a-kind character that fans love to watch. #SmileJamaica
3:38

Conroy Allen, popularly known online as ‘Jamaican Spider-Man’ or ‘Anansi Man', shared how his viral fame grew from turning his passion for dance, acrobatics and entertainment into a one-of-a-kind character that fans love to watch. #SmileJamaica

Smile Jamaica

101,677 Aufrufe • vor 3 Monaten

Take 30 seconds to watch as two mesmerizing water bubbles crash into each other
0:33

Take 30 seconds to watch as two mesmerizing water bubbles crash into each other

National Geographic

239,260 Aufrufe • vor 2 Jahren

SVG Pattern Builder create, customize, and download unique animated patterns
0:45

SVG Pattern Builder create, customize, and download unique animated patterns

dudu

60,198 Aufrufe • vor 1 Jahr

In Indian classical dance, sacred geometry lives within every gesture and step: the dancer's body becomes a moving yantra, tracing circles, triangles, and lotus patterns that mirror cosmic order. With precise symmetry of hands, feet, and gaze, the dance aligns rhythm with geometry, transforming movement into prayer and embodying the eternal union of the human and the divine.
0:21

In Indian classical dance, sacred geometry lives within every gesture and step: the dancer's body becomes a moving yantra, tracing circles, triangles, and lotus patterns that mirror cosmic order. With precise symmetry of hands, feet, and gaze, the dance aligns rhythm with geometry, transforming movement into prayer and embodying the eternal union of the human and the divine.

Wisdom Walk

106,015 Aufrufe • vor 9 Monaten

Typewriter art, also known as ASCII art, is a creative technique where artists use a typewriter to produce detailed images by arranging typed characters, such as letters, numbers, and symbols, on paper. Originating in the late 19th century with the rise of typewriters, this art form gained popularity as a way to create visual designs using the machine's fixed-width characters. By varying the density and placement of characters, artists can craft intricate scenes, portraits, or patterns, turning a tool meant for writing into one for drawing. It requires precision, patience, and a keen eye for spacing and contrast.
0:23

Typewriter art, also known as ASCII art, is a creative technique where artists use a typewriter to produce detailed images by arranging typed characters, such as letters, numbers, and symbols, on paper. Originating in the late 19th century with the rise of typewriters, this art form gained popularity as a way to create visual designs using the machine's fixed-width characters. By varying the density and placement of characters, artists can craft intricate scenes, portraits, or patterns, turning a tool meant for writing into one for drawing. It requires precision, patience, and a keen eye for spacing and contrast.

GiGadgets

12,789 Aufrufe • vor 1 Monat

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.
0:47

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.

Josh Gessner

14,012 Aufrufe • vor 1 Monat

investigates CMCC and the influx of money from both the current and previous governments into Raaju's businesses—a person known to have many Maldivian politicians in his pocket. This spotlights a thorough investigation into the intricate network of government-financed projects associated with Raaju.
4:27

investigates CMCC and the influx of money from both the current and previous governments into Raaju's businesses—a person known to have many Maldivian politicians in his pocket. This spotlights a thorough investigation into the intricate network of government-financed projects associated with Raaju.

Gaumee

28,781 Aufrufe • vor 2 Jahren

Gotta love geometry 💚 This dodecagon can be split into pieces and put back together as three equal squares, each one using the radius as its side. That works because its 12 sides are all the same length and repeat in a perfect pattern. Ancient mathematicians, like Euclid, discovered that some shapes can be “taken apart” and “put back together” to show their area in a simpler way. So in the end, the area of a dodecagon is basically like combining three squares made from its radius. #Math #Geometry
0:58

Gotta love geometry 💚 This dodecagon can be split into pieces and put back together as three equal squares, each one using the radius as its side. That works because its 12 sides are all the same length and repeat in a perfect pattern. Ancient mathematicians, like Euclid, discovered that some shapes can be “taken apart” and “put back together” to show their area in a simpler way. So in the end, the area of a dodecagon is basically like combining three squares made from its radius. #Math #Geometry

Erika 

110,547 Aufrufe • vor 6 Monaten

The Sahara exhibits the north-to-south meridional flow pattern predicted by the ECDO Theory - -> the 104° Euler axis rotation ( courtesy of Craig Stone ) ...and is seen all over the globe—precisely as depicted within the Khufu Pyramid and is scored into Khafre itself.
0:39

The Sahara exhibits the north-to-south meridional flow pattern predicted by the ECDO Theory - -> the 104° Euler axis rotation ( courtesy of Craig Stone ) ...and is seen all over the globe—precisely as depicted within the Khufu Pyramid and is scored into Khafre itself.

Ethical Skeptic ☀

24,245 Aufrufe • vor 1 Jahr