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Mathematics. Our complicated, seemingly unpredictable universe. This is chaos theory in action. The motion of a "quadruple pendulum" (simulation with no friction). Source 1 (Reddit u/tmanchester): Source 2 (Matlab code):

381,272 次观看 • 3 年前 •via X (Twitter)

9 条评论

Okular AB 的头像
Okular AB3 年前

Well, I have a few questions…

CharlesLCarter 的头像
CharlesLCarter3 年前

1. Predictable, really. Just like the weather. 2. Are results identical every time it's run? If so, how sensitive to starting position? 3. How long before the face of Jesus appears?

Danny Smyl, PhD, PE 的头像
Danny Smyl, PhD, PE3 年前

I wonder how including elastic deformation of the rods would change the pendulum’s trajectory? It would be great to see a 1:1 comparison! 😎

Dali 的头像
Dali3 年前

This goes to show, however f*up your life is, there is always a perfect path god's creating for you... 👍

Frank Placido 的头像
Frank Placido3 年前

Surely if this was truly chaotic, the computer would not be able to predict the next step. (Yes, I know the idea is that for infinitesimal changes to the starting positions the paths would be very different).

x𝕏HaZe𝕏x 的头像
x𝕏HaZe𝕏x3 年前

If there's no friction how did it have a pivotal point of fall before momentum shifts.

4nav 的头像
4nav3 年前

Draw the center of mass I dare you

Pablo 的头像
Pablo3 年前

Would be neat to weight colors by how much time the parent pendulum has been near current position. e.g. root pendulum has darker filled-in areas. When it's in those areas the rest would have heavier weight and vice-versa. When 4th is darkest, that's when system is in resonance

𝓗𝓻𝓸𝓵𝓵𝓾𝓻 🇮🇸❄️ 的头像
𝓗𝓻𝓸𝓵𝓵𝓾𝓻 🇮🇸❄️3 年前

Yo hice una de péndulo doble con FORTRAN

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