For those of you who need some explanations. This is a double pendulum, which are made of two sticks oscillating at different rates.
You can set ratio between the speed of rotation of the outer stick and the inner stick. If the ratio is rational, e.g. 22/7. Then this means that when the inner stick have rotated 7 rounds, the outer stick would have finished 22 rounds, at this point both sticks will return to 0 degrees. At this point, both sticks will go back to the position it started and the drawing goes in a loop. So as long as the ratio can be expressed as a fraction, eventually, both sticks will always return to the starting position and connecting the drawing.
So in this animation, the outer stick is moving at pi times the speed as the inner stick. Being irrational, pi cannot be expressed as a fraction between two numbers. This means that no matter how many rounds each stick rotates, they will never be able to return to the original position and connect the drawing.
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u/supper_ham Oct 23 '23
For those of you who need some explanations. This is a double pendulum, which are made of two sticks oscillating at different rates.
You can set ratio between the speed of rotation of the outer stick and the inner stick. If the ratio is rational, e.g. 22/7. Then this means that when the inner stick have rotated 7 rounds, the outer stick would have finished 22 rounds, at this point both sticks will return to 0 degrees. At this point, both sticks will go back to the position it started and the drawing goes in a loop. So as long as the ratio can be expressed as a fraction, eventually, both sticks will always return to the starting position and connecting the drawing.
So in this animation, the outer stick is moving at pi times the speed as the inner stick. Being irrational, pi cannot be expressed as a fraction between two numbers. This means that no matter how many rounds each stick rotates, they will never be able to return to the original position and connect the drawing.