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Ana Sayfaya Dön

I am playing with WebGPU. Built myself a spaceship to fly through vector spaces. Here is Lorenz attractor: vec4f(10 * (y - x), x * (28 - z) - y, x * y - (8 / 3) * z, 0) What other spaces should I visit? Can do 4D too...

Andrei Kashcha

9,878 subscribers

18,586 görüntüleme • 3 yıl önce •via X (Twitter)

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Andrei Kashcha 🇺🇦 profil fotoğrafı

Andrei Kashcha 🇺🇦3 yıl önce

Here is a space populated by Thomas attractor. Thank you for the coordinates, @ivanmoreno_xyz: vec4f( -b * x + sin(y), -b * y + sin(z), -b * z + sin(x), 0) (where b is 0.19)

Andrei Kashcha 🇺🇦 profil fotoğrafı

Andrei Kashcha 🇺🇦3 yıl önce

This erupting volcano effect is thanks to seemingly a bug in OSX, which causes `fract()` return values out of [0..1] range. I love it

Prathyush profil fotoğrafı

Prathyush3 yıl önce

I am thinking this might be a nice title card animation for Dune 2 or 3! 😅

George Morgan profil fotoğrafı

George Morgan3 yıl önce

Wow! 👏

Be_the_change profil fotoğrafı

Be_the_change3 yıl önce

Hello @DavidNo74093661 Have you already saw this work of the wizard Andrei Kashcha?

题叶 profil fotoğrafı

题叶3 yıl önce

I have a question, hot do you store those growling lines in compute shader? I learnt about the usages and the buffer size is defined before passing to shader.

Andrei Kashcha 🇺🇦 profil fotoğrafı

Andrei Kashcha 🇺🇦3 yıl önce

Indeed! Buffer size is created with enough memory to store X segments for Y lines. Another buffer is used to store "length" of the rendered line and where its head is. Once cycle is over, head is written to tail, and with module operations I adjust what is rendered

(⁠*⁠˘⁠︶⁠˘⁠*⁠)⁠.⁠｡`♡⭒✳🏴🔆🇵🇸🇨🇩🇸🇩🇭🇹 profil fotoğrafı

(⁠*⁠˘⁠︶⁠˘⁠*⁠)⁠.⁠｡`♡⭒✳🏴🔆🇵🇸🇨🇩🇸🇩🇭🇹3 yıl önce

🦋🧡

Pratyay Banerjee (নীল)  profil fotoğrafı

Pratyay Banerjee (নীল) 3 yıl önce

This is amazing!

Mqrius profil fotoğrafı

Mqrius3 yıl önce

Make the vector space affect the spacecraft, like funky gravity! It's not a spacecraft if you can't orbit

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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

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