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Matrix interpolation study for X–Y(–Z). Infinite motion in all directions (precision is never lost). (Own code visualized). ↓
22,295 просмотров • 1 год назад •via X (Twitter)
Комментарии: 10
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This is blowing my mind right now, a heavy sense of disorientation like I'm being lifted upside-down spontaneously
The blue rectangle (viewport) was initially added for debugging purposes but the way it fits the viewport perfectly is too satisfying while also helping to read the traveling… considering it for the final version.
So good
2-2.5x the speed and make the text green And now you have a film-grade "hacker writing code" background! seriously, good stuff
So smooth! How is the browser not jittering?
Smoothness is my credo…!
I LOVE THAT
…sick
wow
![When the Lorenz Attractor Becomes a Cosmos Many of us have seen plots of the famous Lorenz system that famous butterfly-shaped chaos: ẋ = σ(y - x) ẏ = x(ρ - z) - y ż = xy - βz But here, we went one layer deeper. At every point (x, y, z), we computed the local Jacobian matrix, J(x, y, z) = [ -σ σ 0 ] [ ρ - z -1 - x ] [ y x - β ] Then we found its eigenvalues λ and plotted them in the complex plane. Re(λ) tells us whether nearby motion is locally growing or decaying. Im(λ) tells us whether that local motion is rotating. That gives us the spectral flow of the Lorenz system and not the attractor itself, but the hidden local linear geometry driving its instability. When I saw that flow, it looked strangely cosmic with two mirrored swarms curling like particles trapped in a mathematical whirlpool. So I mapped that spectral flow onto our living fabric, not as Einstein Spacetime this time, but as a creative geometric stage for chaos itself. #LorenzSystem #ChaosTheory #DynamicalSystems #Eigenvalues #SpectralFlow #ComplexPlane #NonlinearDynamics #Mathematics #Physics](https://image.24vids.com/tw-2072014826516476128/amplify_video_thumb/2072014299434762240/img/g6jhjcX-oWz0uxxz.jpg)
![we’re launching Motion, the frontier agent for tasteful motion design. this launch video is made entirely with Motion. 👇🏽 QT + comment "MOTION" to get 1,000 free credits. tag Motion in any X post for a surprise. now generally available at motion [dot] so.](https://image.24vids.com/tw-2062218286826451053/amplify_video_thumb/2062218218123796481/img/muzn1kZT04IM5idj.jpg)
![we’re launching Motion, the frontier agent for tasteful motion design. this launch video is made entirely with Motion. 👇🏽 QT + comment "MOTION" to get 1,000 free credits. tag Motion in any X post for a surprise. now generally available at motion [dot] so.](https://image.24vids.com/tw-2062203755718930550/amplify_video_thumb/2062193317421748225/img/8k3qvM51YZYajam6.jpg)
