This came to my mind one day: what patterns would it produce if hundreds of balls are thrown in a circular container with uniform speed? The results I found left me stunned, so I hope you find it super cool as I did!
Note:
(1) This simulation is not physically accurate, because although the balls collide with the walls of the container, they don't collide with each other. But we mathematicians don't need to care, do we? We can just imagine such 'supernatural' balls and enjoy da show :) [My sincerest apologies to the physics guys out there]
(2) The reflecting surface in case of a circular container is the tangent which passes through the point of contact. Point to be noted, in this animation, this is not the case, because the balls have a definite radius to themselves, and hence we have to consider the line parallel to the tangent passing through the center of the balls to be the reflecting surface and then calculate the incident angle & reflecting angle using this. [It's completely okay to not understand what this point is saying cuz I am damn bad at explaining stuff in text]
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Animations made using Adobe After Effects cc 2018.
Music by Sappheiros:
/ falling-ft-esoreni
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7 сен 2024
