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A clean and precise visualization of the Sprott B Attractor, a chaotic dynamical system known for its elegant yet unpredictable motion. [🎞️ thebrainmaze]

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Massimo

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89,068 görüntüleme • 8 ay önce •via X (Twitter)

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A symphony of complex motion. The motion of a complex exponential equation, visualized. [🎞️ thebrainmaze]
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A symphony of complex motion. The motion of a complex exponential equation, visualized. [🎞️ thebrainmaze]

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Landscapes of the Solar System if you could see them in a Petri dish. [🎞️ thebrainmaze]

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A Galactic Year is the time it takes for the Solar System to complete one full orbit around the center of the Milky Way galaxy and it's ~ 250 million years. [🎞️ thebrainmaze]

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A Galactic Year is the time it takes for the Solar System to complete one full orbit around the center of the Milky Way galaxy and it's ~ 250 million years. [🎞️ thebrainmaze]
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A Galactic Year is the time it takes for the Solar System to complete one full orbit around the center of the Milky Way galaxy and it's ~ 250 million years. [🎞️ thebrainmaze]

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The geometry behind the area of a circle [🎞️ thebrainmaze]

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A beautiful way to explain chaos theory 10 pendulums begin almost identically, separated by only 1 degree, yet over time their motion becomes completely different. [🎞️thebrainmaze]
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A beautiful way to explain chaos theory 10 pendulums begin almost identically, separated by only 1 degree, yet over time their motion becomes completely different. [🎞️thebrainmaze]

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ROCK THE BOAT: A cruise ship was struck by towering waves during its journey through the Drake Passage, known for its rough and unpredictable currents.
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ROCK THE BOAT: A cruise ship was struck by towering waves during its journey through the Drake Passage, known for its rough and unpredictable currents.

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A beautiful way to explain chaos theory 10 pendulums begin almost identically, separated by only 1 degree, yet over time their motion becomes completely different. [🎞️thebrainmaze]
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A beautiful way to explain chaos theory 10 pendulums begin almost identically, separated by only 1 degree, yet over time their motion becomes completely different. [🎞️thebrainmaze]

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The Lorenz system is a classic example of the “butterfly effect,” where small changes in initial conditions lead to very different outcomes. In this visualization, we simulated the Lorenz attractor using MATLAB and Claude with 10 slightly varied starting points.
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The Lorenz system is a classic example of the “butterfly effect,” where small changes in initial conditions lead to very different outcomes. In this visualization, we simulated the Lorenz attractor using MATLAB and Claude with 10 slightly varied starting points.

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Astronomers discovered LTT 9779 b, a scorching exoplanet reflecting ~80% of incoming light — the most reflective world known. Its titanium and silicate clouds create a cosmic mirror. [🎞️ Artist's Impession / ESA]
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Astronomers discovered LTT 9779 b, a scorching exoplanet reflecting ~80% of incoming light — the most reflective world known. Its titanium and silicate clouds create a cosmic mirror. [🎞️ Artist's Impession / ESA]

Massimo

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Adding a third celestial body to a gravitational system makes things wildly chaotic and unpredictable. Hence the 'Three Body Problem'. Some beautiful examples of periodic 3-body systems: (via instagram user data__is__beautiful)
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Adding a third celestial body to a gravitational system makes things wildly chaotic and unpredictable. Hence the 'Three Body Problem'. Some beautiful examples of periodic 3-body systems: (via instagram user data__is__beautiful)

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Visualization of the Lorentz force. F = q(E + v × B) Showing electric acceleration, magnetic circular and helical motion, velocity selection in crossed fields, and E × B drift.
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Visualization of the Lorentz force. F = q(E + v × B) Showing electric acceleration, magnetic circular and helical motion, velocity selection in crossed fields, and E × B drift.

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Predicting a double pendulum is physically impossible in the long term because it is a deterministic chaotic system. While the exact equations of motion are known, infinitesimal differences in initial conditions—such as a millionth of a degree—will cause the trajectories to diverge completely almost immediately. © Science Facts
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Predicting a double pendulum is physically impossible in the long term because it is a deterministic chaotic system. While the exact equations of motion are known, infinitesimal differences in initial conditions—such as a millionth of a degree—will cause the trajectories to diverge completely almost immediately. © Science Facts

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🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.
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🌀 Hyperbolic beauty. The Rössler attractor is a space phase modeled after the Rössler mathematical system originated in 1976 by the German biochemist Otto Rössler. The original design was intended to behave similarly to the Lorenz attractor but in a more simplified way to be analyzed. This vector spaces shares common features with other chaotic attractors like strangeness, unpredictability, self similarity, bifurcation, instability and fractal iterations. What defines the Rössler evolutive dance is that a set of hyperbolic lines follow an outward spiral close to the plane around an unstable fixed point causing a rise and twist in the spatial domain. The visualization of these manifolds revolves around these two coordinates which repel nearby trajectories and are characterized by periodic orbits that are stable for certain parameter values. From a set of disciplines that was intended to solve at its creation like genetics, epidemiology and population dynamics, the Rössler system became useful to study chaotic orbital parameters and nonlinear oscillations such as fluid dynamics, electrical circuits, and computational simulations.

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Visualization of a binary system of supermassive black holes and their accretion disks

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🎞️Clay Town (1924)🎞️ Here’s a look at the only known 35mm print of this rare ‘Koko’ cartoon. Notice the mix of 2D + stop motion animation. Fleischer’s were pioneers in the field of animation and it’s a thrill to showcase their genius to a new audience! #FleischerStudios

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Thousands of golden balls fall through a futuristic Galton board, bouncing through pegs and forming a powerful visual of probability, chaos, and order. [🎞️ thebrainmaze]

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Until March, Saturn had 146 known moons, then astronomers discovered 128 new ones, bringing the ringed gas giant's total up to 274 moons—far beyond any other planet in our Solar System. This is the coreography of their dance. [🎞️ thebrainmaze]

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The Koch snowflake is a fractal curve and one of the earliest fractals to have been described, created by an iterative construction of triangles. [🎞️ thebrainmaze]
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The Koch snowflake is a fractal curve and one of the earliest fractals to have been described, created by an iterative construction of triangles. [🎞️ thebrainmaze]

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