0:01 Imagine two identical circles, and two balls—one in each—placed at almost, but not 0:07 exactly the same position. 0:11 Now, let them fall. 0:35 At first, they appear to be following the same path—but soon, their trajectories will diverge. N hits 1:04 This is a chaotic system. 1:06 And these tend to have rather beautiful patterns. 1:08 So let’s try to visualize it! 1:12 To colour in a point, let a ball drop from it. 1:26 And read off the colour after the N-th hit. Time, revert 2:05 To put non-integer values of N, track the time and revert to the last hit. Time, project 3:36 Alternatively, we can project the ball onto the circle.
This is the video transcript, not a summary.
0:01 Imagine two identical circles, and two balls—one in each—placed at almost, but not
0:07 exactly the same position.
0:11 Now, let them fall.
0:35 At first, they appear to be following the same path—but soon, their trajectories will diverge. N hits
1:04 This is a chaotic system.
1:06 And these tend to have rather beautiful patterns.
1:08 So let’s try to visualize it!
1:12 To colour in a point, let a ball drop from it.
1:26 And read off the colour after the N-th hit. Time, revert
2:05 To put non-integer values of N, track the time and revert to the last hit. Time, project
3:36 Alternatively, we can project the ball onto the circle.